Network Working Group                                         D. Harkins
Request for Comments: 2409                                     D. Carrel
Category: Standards Track                                  cisco Systems
                                                           November 1998

                    The Internet Key Exchange (IKE)

      
        Status of this Memo

        This document specifies an Internet standards track protocol for the
        Internet community, and requests discussion and suggestions for
        improvements.  Please refer to the current edition of the "Internet
        Official Protocol Standards" (STD 1) for the standardization state
        and status of this protocol.  Distribution of this memo is unlimited.

      
        Copyright Notice

        Copyright (C) The Internet Society (1998).  All Rights Reserved.

      
        Table Of Contents

        1 Abstract........................................................  2
        2 Discussion......................................................  2
        3 Terms and Definitions...........................................  3
        3.1 Requirements Terminology......................................  3
        3.2 Notation......................................................  3
        3.3 Perfect Forward Secrecty......................................  5
        3.4 Security Association..........................................  5
        4 Introduction....................................................  5
        5 Exchanges.......................................................  8
        5.1 Authentication with Digital Signatures........................ 10
        5.2 Authentication with Public Key Encryption..................... 12
        5.3 A Revised method of Authentication with Public Key Encryption. 13
        5.4 Authentication with a Pre-Shared Key.......................... 16
        5.5 Quick Mode.................................................... 16
        5.6 New Group Mode................................................ 20
        5.7 ISAKMP Informational Exchanges................................ 20
        6 Oakley Groups................................................... 21
        6.1 First Oakley Group............................................ 21
        6.2 Second Oakley Group........................................... 22
        6.3 Third Oakley Group............................................ 22
        6.4 Fourth Oakley Group........................................... 23
        7 Payload Explosion of Complete Exchange.......................... 23
        7.1 Phase 1 with Main Mode........................................ 23
        7.2 Phase 2 with Quick Mode....................................... 25
        8 Perfect Forward Secrecy Example................................. 27
        9 Implementation Hints............................................ 27
        10 Security Considerations........................................ 28
        11 IANA Considerations............................................ 30
        12 Acknowledgments................................................ 31
        13 References..................................................... 31
        Appendix A........................................................ 33
        Appendix B........................................................ 37
        Authors' Addresses................................................ 40
        Authors' Note..................................................... 40
        Full Copyright Statement.......................................... 41

      
        1. Abstract

        ISAKMP ([MSST98]) provides a framework for authentication and key
        exchange but does not define them.  ISAKMP is designed to be key
        exchange independant; that is, it is designed to support many
        different key exchanges.

        Oakley ([Orm96]) describes a series of key exchanges-- called
        "modes"-- and details the services provided by each (e.g. perfect
        forward secrecy for keys, identity protection, and authentication).

        SKEME ([SKEME]) describes a versatile key exchange technique which
        provides anonymity, repudiability, and quick key refreshment.

        This document describes a protocol using part of Oakley and part of
        SKEME in conjunction with ISAKMP to obtain authenticated keying
        material for use with ISAKMP, and for other security associations
        such as AH and ESP for the IETF IPsec DOI.

      
        2. Discussion

        This memo describes a hybrid protocol. The purpose is to negotiate,
        and provide authenticated keying material for, security associations
        in a protected manner.

        Processes which implement this memo can be used for negotiating
        virtual private networks (VPNs) and also for providing a remote user
        from a remote site (whose IP address need not be known beforehand)
        access to a secure host or network.

        Client negotiation is supported.  Client mode is where the
        negotiating parties are not the endpoints for which security
        association negotiation is taking place.  When used in client mode,
        the identities of the end parties remain hidden.

        This does not implement the entire Oakley protocol, but only a subset
        necessary to satisfy its goals. It does not claim conformance or
        compliance with the entire Oakley protocol nor is it dependant in any
        way on the Oakley protocol.

        Likewise, this does not implement the entire SKEME protocol, but only
        the method of public key encryption for authentication and its
        concept of fast re-keying using an exchange of nonces. This protocol
        is not dependant in any way on the SKEME protocol.

      
        3. Terms and Definitions

      
        3.1 Requirements Terminology

        Keywords "MUST", "MUST NOT", "REQUIRED", "SHOULD", "SHOULD NOT" and
        "MAY" that appear in this document are to be interpreted as described
        in [Bra97].

      
        3.2 Notation

        The following notation is used throughout this memo.

        HDR is an ISAKMP header whose exchange type is the mode.  When
        writen as HDR* it indicates payload encryption.

        SA is an SA negotiation payload with one or more proposals. An
        initiator MAY provide multiple proposals for negotiation; a
        responder MUST reply with only one.

        <P>_b indicates the body of payload <P>-- the ISAKMP generic
        vpayload is not included.

        SAi_b is the entire body of the SA payload (minus the ISAKMP
        generic header)-- i.e. the DOI, situation, all proposals and all
        transforms offered by the Initiator.

        CKY-I and CKY-R are the Initiator's cookie and the Responder's
        cookie, respectively, from the ISAKMP header.

        g^xi and g^xr are the Diffie-Hellman ([DH]) public values of the
        initiator and responder respectively.

        g^xy is the Diffie-Hellman shared secret.

        KE is the key exchange payload which contains the public
        information exchanged in a Diffie-Hellman exchange. There is no
        particular encoding (e.g. a TLV) used for the data of a KE payload.

        Nx is the nonce payload; x can be: i or r for the ISAKMP initiator
        and responder respectively.

        IDx is the identification payload for "x".  x can be: "ii" or "ir"
        for the ISAKMP initiator and responder respectively during phase
        one negotiation; or "ui" or "ur" for the user initiator and
        responder respectively during phase two.  The ID payload format for
        the Internet DOI is defined in [Pip97].

        SIG is the signature payload. The data to sign is exchange-
        specific.

        CERT is the certificate payload.

        HASH (and any derivitive such as HASH(2) or HASH_I) is the hash
        payload. The contents of the hash are specific to the
        authentication method.

        prf(key, msg) is the keyed pseudo-random function-- often a keyed
        hash function-- used to generate a deterministic output that
        appears pseudo-random.  prf's are used both for key derivations and
        for authentication (i.e. as a keyed MAC). (See [KBC96]).

        SKEYID is a string derived from secret material known only to the
        active players in the exchange.

        SKEYID_e is the keying material used by the ISAKMP SA to protect
        the confidentiality of its messages.

        SKEYID_a is the keying material used by the ISAKMP SA to
        authenticate its messages.

        SKEYID_d is the keying material used to derive keys for non-ISAKMP
        security associations.

        <x>y indicates that "x" is encrypted with the key "y".

        --> signifies "initiator to responder" communication (requests).

        <-- signifies "responder to initiator" communication (replies).

        |  signifies concatenation of information-- e.g. X | Y is the
        concatentation of X with Y.

        [x] indicates that x is optional.

        Message encryption (when noted by a '*' after the ISAKMP header) MUST
        begin immediately after the ISAKMP header. When communication is
        protected, all payloads following the ISAKMP header MUST be
        encrypted.  Encryption keys are generated from SKEYID_e in a manner
        that is defined for each algorithm.

      
        3.3 Perfect Forward Secrecy

        When used in the memo Perfect Forward Secrecy (PFS) refers to the
        notion that compromise of a single key will permit access to only
        data protected by a single key. For PFS to exist the key used to
        protect transmission of data MUST NOT be used to derive any
        additional keys, and if the key used to protect transmission of data
        was derived from some other keying material, that material MUST NOT
        be used to derive any more keys.

        Perfect Forward Secrecy for both keys and identities is provided in
        this protocol. (Sections 5.5 and 8).

      
        3.4 Security Association

        A security association (SA) is a set of policy and key(s) used to
        protect information. The ISAKMP SA is the shared policy and key(s)
        used by the negotiating peers in this protocol to protect their
        communication.

      
        4. Introduction

        Oakley and SKEME each define a method to establish an authenticated
        key exchange. This includes payloads construction, the information
        payloads carry, the order in which they are processed and how they
        are used.

        While Oakley defines "modes", ISAKMP defines "phases".  The
        relationship between the two is very straightforward and IKE presents
        different exchanges as modes which operate in one of two phases.

        Phase 1 is where the two ISAKMP peers establish a secure,
        authenticated channel with which to communicate.  This is called the
        ISAKMP Security Association (SA). "Main Mode" and "Aggressive Mode"
        each accomplish a phase 1 exchange. "Main Mode" and "Aggressive Mode"
        MUST ONLY be used in phase 1.

        Phase 2 is where Security Associations are negotiated on behalf of
        services such as IPsec or any other service which needs key material
        and/or parameter negotiation. "Quick Mode" accomplishes a phase 2
        exchange. "Quick Mode" MUST ONLY be used in phase 2.

        "New Group Mode" is not really a phase 1 or phase 2.  It follows
        phase 1, but serves to establish a new group which can be used in
        future negotiations. "New Group Mode" MUST ONLY be used after phase
        1.

        The ISAKMP SA is bi-directional. That is, once established, either
        party may initiate Quick Mode, Informational, and New Group Mode
        Exchanges.  Per the base ISAKMP document, the ISAKMP SA is identified
        by the Initiator's cookie followed by the Responder's cookie-- the
        role of each party in the phase 1 exchange dictates which cookie is
        the Initiator's. The cookie order established by the phase 1 exchange
        continues to identify the ISAKMP SA regardless of the direction the
        Quick Mode, Informational, or New Group exchange. In other words, the
        cookies MUST NOT swap places when the direction of the ISAKMP SA
        changes.

        With the use of ISAKMP phases, an implementation can accomplish very
        fast keying when necessary.  A single phase 1 negotiation may be used
        for more than one phase 2 negotiation.  Additionally a single phase 2
        negotiation can request multiple Security Associations.  With these
        optimizations, an implementation can see less than one round trip per
        SA as well as less than one DH exponentiation per SA.  "Main Mode"
        for phase 1 provides identity protection.  When identity protection
        is not needed, "Aggressive Mode" can be used to reduce round trips
        even further.  Developer hints for doing these optimizations are
        included below. It should also be noted that using public key
        encryption to authenticate an Aggressive Mode exchange will still
        provide identity protection.

        This protocol does not define its own DOI per se. The ISAKMP SA,
        established in phase 1, MAY use the DOI and situation from a non-
        ISAKMP service (such as the IETF IPSec DOI [Pip97]). In this case an
        implementation MAY choose to restrict use of the ISAKMP SA for
        establishment of SAs for services of the same DOI. Alternately, an
        ISAKMP SA MAY be established with the value zero in both the DOI and
        situation (see [MSST98] for a description of these fields) and in
        this case implementations will be free to establish security services
        for any defined DOI using this ISAKMP SA. If a DOI of zero is used
        for establishment of a phase 1 SA, the syntax of the identity
        payloads used in phase 1 is that defined in [MSST98] and not from any
        DOI-- e.g. [Pip97]-- which may further expand the syntax and
        semantics of identities.

        The following attributes are used by IKE and are negotiated as part
        of the ISAKMP Security Association.  (These attributes pertain only
        to the ISAKMP Security Association and not to any Security
        Associations that ISAKMP may be negotiating on behalf of other
        services.)

        - encryption algorithm

        - hash algorithm

        - authentication method

        - information about a group over which to do Diffie-Hellman.

        All of these attributes are mandatory and MUST be negotiated. In
        addition, it is possible to optionally negotiate a psuedo-random
        function ("prf").  (There are currently no negotiable pseudo-random
        functions defined in this document. Private use attribute values can
        be used for prf negotiation between consenting parties). If a "prf"
        is not negotiation, the HMAC (see [KBC96]) version of the negotiated
        hash algorithm is used as a pseudo-random function. Other non-
        mandatory attributes are described in Appendix A. The selected hash
        algorithm MUST support both native and HMAC modes.

        The Diffie-Hellman group MUST be either specified using a defined
        group description (section 6) or by defining all attributes of a
        group (section 5.6). Group attributes (such as group type or prime--
        see Appendix A) MUST NOT be offered in conjunction with a previously
        defined group (either a reserved group description or a private use
        description that is established after conclusion of a New Group Mode
        exchange).

        IKE implementations MUST support the following attribute values:

        - DES [DES] in CBC mode with a weak, and semi-weak, key check
        (weak and semi-weak keys are referenced in [Sch96] and listed in
        Appendix A). The key is derived according to Appendix B.

        - MD5 [MD5] and SHA [SHA}.

        - Authentication via pre-shared keys.

        - MODP over default group number one (see below).

        In addition, IKE implementations SHOULD support: 3DES for encryption;
        Tiger ([TIGER]) for hash; the Digital Signature Standard, RSA [RSA]
        signatures and authentication with RSA public key encryption; and
        MODP group number 2.  IKE implementations MAY support any additional
        encryption algorithms defined in Appendix A and MAY support ECP and
        EC2N groups.

        The IKE modes described here MUST be implemented whenever the IETF
        IPsec DOI [Pip97] is implemented. Other DOIs MAY use the modes
        described here.

      
        5. Exchanges

        There are two basic methods used to establish an authenticated key
        exchange: Main Mode and Aggressive Mode. Each generates authenticated
        keying material from an ephemeral Diffie-Hellman exchange. Main Mode
        MUST be implemented; Aggressive Mode SHOULD be implemented. In
        addition, Quick Mode MUST be implemented as a mechanism to generate
        fresh keying material and negotiate non-ISAKMP security services. In
        addition, New Group Mode SHOULD be implemented as a mechanism to
        define private groups for Diffie-Hellman exchanges. Implementations
        MUST NOT switch exchange types in the middle of an exchange.

        Exchanges conform to standard ISAKMP payload syntax, attribute
        encoding, timeouts and retransmits of messages, and informational
        messages-- e.g a notify response is sent when, for example, a
        proposal is unacceptable, or a signature verification or decryption
        was unsuccessful, etc.

        The SA payload MUST precede all other payloads in a phase 1 exchange.
        Except where otherwise noted, there are no requirements for ISAKMP
        payloads in any message to be in any particular order.

        The Diffie-Hellman public value passed in a KE payload, in either a
        phase 1 or phase 2 exchange, MUST be the length of the negotiated
        Diffie-Hellman group enforced, if necessary, by pre-pending the value
        with zeros.

        The length of nonce payload MUST be between 8 and 256 bytes
        inclusive.

        Main Mode is an instantiation of the ISAKMP Identity Protect
        Exchange: The first two messages negotiate policy; the next two
        exchange Diffie-Hellman public values and ancillary data (e.g.
        nonces) necessary for the exchange; and the last two messages
        authenticate the Diffie-Hellman Exchange. The authentication method
        negotiated as part of the initial ISAKMP exchange influences the
        composition of the payloads but not their purpose. The XCHG for Main
        Mode is ISAKMP Identity Protect.

        Similarly, Aggressive Mode is an instantiation of the ISAKMP
        Aggressive Exchange. The first two messages negotiate policy,
        exchange Diffie-Hellman public values and ancillary data necessary
        for the exchange, and identities.  In addition the second message
        authenticates the responder. The third message authenticates the
        initiator and provides a proof of participation in the exchange. The
        XCHG for Aggressive Mode is ISAKMP Aggressive.  The final message MAY
        NOT be sent under protection of the ISAKMP SA allowing each party to

        postpone exponentiation, if desired, until negotiation of this
        exchange is complete. The graphic depictions of Aggressive Mode show
        the final payload in the clear; it need not be.

        Exchanges in IKE are not open ended and have a fixed number of
        messages.  Receipt of a Certificate Request payload MUST NOT extend
        the number of messages transmitted or expected.

        Security Association negotiation is limited with Aggressive Mode. Due
        to message construction requirements the group in which the Diffie-
        Hellman exchange is performed cannot be negotiated. In addition,
        different authentication methods may further constrain attribute
        negotiation. For example, authentication with public key encryption
        cannot be negotiated and when using the revised method of public key
        encryption for authentication the cipher and hash cannot be
        negotiated. For situations where the rich attribute negotiation
        capabilities of IKE are required Main Mode may be required.

        Quick Mode and New Group Mode have no analog in ISAKMP. The XCHG
        values for Quick Mode and New Group Mode are defined in Appendix A.

        Main Mode, Aggressive Mode, and Quick Mode do security association
        negotiation. Security Association offers take the form of Tranform
        Payload(s) encapsulated in Proposal Payload(s) encapsulated in
        Security Association (SA) payload(s). If multiple offers are being
        made for phase 1 exchanges (Main Mode and Aggressive Mode) they MUST
        take the form of multiple Transform Payloads for a single Proposal
        Payload in a single SA payload. To put it another way, for phase 1
        exchanges there MUST NOT be multiple Proposal Payloads for a single
        SA payload and there MUST NOT be multiple SA payloads. This document
        does not proscribe such behavior on offers in phase 2 exchanges.

        There is no limit on the number of offers the initiator may send to
        the responder but conformant implementations MAY choose to limit the
        number of offers it will inspect for performance reasons.

        During security association negotiation, initiators present offers
        for potential security associations to responders. Responders MUST
        NOT modify attributes of any offer, attribute encoding excepted (see
        Appendix A).  If the initiator of an exchange notices that attribute
        values have changed or attributes have been added or deleted from an
        offer made, that response MUST be rejected.

        Four different authentication methods are allowed with either Main
        Mode or Aggressive Mode-- digital signature, two forms of
        authentication with public key encryption, or pre-shared key. The
        value SKEYID is computed seperately for each authentication method.

        For signatures:            SKEYID = prf(Ni_b | Nr_b, g^xy)
        For public key encryption: SKEYID = prf(hash(Ni_b | Nr_b), CKY-I | CKY-R)
        For pre-shared keys:       SKEYID = prf(pre-shared-key, Ni_b | Nr_b)

        The result of either Main Mode or Aggressive Mode is three groups of
        authenticated keying material:

        SKEYID_d = prf(SKEYID, g^xy | CKY-I | CKY-R | 0)
        SKEYID_a = prf(SKEYID, SKEYID_d | g^xy | CKY-I | CKY-R | 1)
        SKEYID_e = prf(SKEYID, SKEYID_a | g^xy | CKY-I | CKY-R | 2)

        and agreed upon policy to protect further communications. The values
        of 0, 1, and 2 above are represented by a single octet. The key used
        for encryption is derived from SKEYID_e in an algorithm-specific
        manner (see appendix B).

        To authenticate either exchange the initiator of the protocol
        generates HASH_I and the responder generates HASH_R where:

        HASH_I = prf(SKEYID, g^xi | g^xr | CKY-I | CKY-R | SAi_b | IDii_b )
        HASH_R = prf(SKEYID, g^xr | g^xi | CKY-R | CKY-I | SAi_b | IDir_b )

        For authentication with digital signatures, HASH_I and HASH_R are
        signed and verified; for authentication with either public key
        encryption or pre-shared keys, HASH_I and HASH_R directly
        authenticate the exchange.  The entire ID payload (including ID type,
        port, and protocol but excluding the generic header) is hashed into
        both HASH_I and HASH_R.

        As mentioned above, the negotiated authentication method influences
        the content and use of messages for Phase 1 Modes, but not their
        intent.  When using public keys for authentication, the Phase 1
        exchange can be accomplished either by using signatures or by using
        public key encryption (if the algorithm supports it). Following are
        Phase 1 exchanges with different authentication options.

      
        5.1 IKE Phase 1 Authenticated With Signatures

        Using signatures, the ancillary information exchanged during the
        second roundtrip are nonces; the exchange is authenticated by signing
        a mutually obtainable hash. Main Mode with signature authentication
        is described as follows:

        Initiator                          Responder
        -----------                        -----------
        HDR, SA                     -->
        <--    HDR, SA
        HDR, KE, Ni                 -->
        <--    HDR, KE, Nr
        HDR*, IDii, [ CERT, ] SIG_I -->
        <--    HDR*, IDir, [ CERT, ] SIG_R

        Aggressive mode with signatures in conjunction with ISAKMP is
        described as follows:

        Initiator                          Responder
        -----------                        -----------
        HDR, SA, KE, Ni, IDii       -->
        <--    HDR, SA, KE, Nr, IDir,
        [ CERT, ] SIG_R
        HDR, [ CERT, ] SIG_I        -->

        In both modes, the signed data, SIG_I or SIG_R, is the result of the
        negotiated digital signature algorithm applied to HASH_I or HASH_R
        respectively.

        In general the signature will be over HASH_I and HASH_R as above
        using the negotiated prf, or the HMAC version of the negotiated hash
        function (if no prf is negotiated). However, this can be overridden
        for construction of the signature if the signature algorithm is tied
        to a particular hash algorithm (e.g. DSS is only defined with SHA's
        160 bit output). In this case, the signature will be over HASH_I and
        HASH_R as above, except using the HMAC version of the hash algorithm
        associated with the signature method.  The negotiated prf and hash
        function would continue to be used for all other prescribed pseudo-
        random functions.

        Since the hash algorithm used is already known there is no need to
        encode its OID into the signature. In addition, there is no binding
        between the OIDs used for RSA signatures in PKCS #1 and those used in
        this document. Therefore, RSA signatures MUST be encoded as a private
        key encryption in PKCS #1 format and not as a signature in PKCS #1
        format (which includes the OID of the hash algorithm). DSS signatures
        MUST be encoded as r followed by s.

        One or more certificate payloads MAY be optionally passed.

      
        5.2 Phase 1 Authenticated With Public Key Encryption

        Using public key encryption to authenticate the exchange, the
        ancillary information exchanged is encrypted nonces. Each party's
        ability to reconstruct a hash (proving that the other party decrypted
        the nonce) authenticates the exchange.

        In order to perform the public key encryption, the initiator must
        already have the responder's public key. In the case where the
        responder has multiple public keys, a hash of the certificate the
        initiator is using to encrypt the ancillary information is passed as
        part of the third message. In this way the responder can determine
        which corresponding private key to use to decrypt the encrypted
        payloads and identity protection is retained.

        In addition to the nonce, the identities of the parties (IDii and
        IDir) are also encrypted with the other party's public key. If the
        authentication method is public key encryption, the nonce and
        identity payloads MUST be encrypted with the public key of the other
        party. Only the body of the payloads are encrypted, the payload
        headers are left in the clear.

        When using encryption for authentication, Main Mode is defined as
        follows.

        Initiator                        Responder
        -----------                      -----------
        HDR, SA                   -->
        <--    HDR, SA
        HDR, KE, [ HASH(1), ]
        <IDii_b>PubKey_r,
        <Ni_b>PubKey_r        -->
        HDR, KE, <IDir_b>PubKey_i,
        <--            <Nr_b>PubKey_i
        HDR*, HASH_I              -->
        <--    HDR*, HASH_R

        Aggressive Mode authenticated with encryption is described as
        follows:

        Initiator                        Responder
        -----------                      -----------
        HDR, SA, [ HASH(1),] KE,
        <IDii_b>Pubkey_r,
        <Ni_b>Pubkey_r         -->
        HDR, SA, KE, <IDir_b>PubKey_i,
        <--         <Nr_b>PubKey_i, HASH_R
        HDR, HASH_I               -->

        Where HASH(1) is a hash (using the negotiated hash function) of the
        certificate which the initiator is using to encrypt the nonce and
        identity.

        RSA encryption MUST be encoded in PKCS #1 format. While only the body
        of the ID and nonce payloads is encrypted, the encrypted data must be
        preceded by a valid ISAKMP generic header. The payload length is the
        length of the entire encrypted payload plus header. The PKCS #1
        encoding allows for determination of the actual length of the
        cleartext payload upon decryption.

        Using encryption for authentication provides for a plausably deniable
        exchange. There is no proof (as with a digital signature) that the
        conversation ever took place since each party can completely
        reconstruct both sides of the exchange. In addition, security is
        added to secret generation since an attacker would have to
        successfully break not only the Diffie-Hellman exchange but also both
        RSA encryptions. This exchange was motivated by [SKEME].

        Note that, unlike other authentication methods, authentication with
        public key encryption allows for identity protection with Aggressive
        Mode.

      
        5.3 Phase 1 Authenticated With a Revised Mode of Public Key Encryption

        Authentication with Public Key Encryption has significant advantages
        over authentication with signatures (see section 5.2 above).
        Unfortunately, this is at the cost of 4 public key operations-- two
        public key encryptions and two private key decryptions. This
        authentication mode retains the advantages of authentication using
        public key encryption but does so with half the public key
        operations.

        In this mode, the nonce is still encrypted using the public key of
        the peer, however the peer's identity (and the certificate if it is
        sent) is encrypted using the negotiated symmetric encryption
        algorithm (from the SA payload) with a key derived from the nonce.
        This solution adds minimal complexity and state yet saves two costly
        public key operations on each side. In addition, the Key Exchange
        payload is also encrypted using the same derived key. This provides
        additional protection against cryptanalysis of the Diffie-Hellman
        exchange.

        As with the public key encryption method of authentication (section
        5.2), a HASH payload may be sent to identify a certificate if the
        responder has multiple certificates which contain useable public keys
        (e.g. if the certificate is not for signatures only, either due to
        certificate restrictions or algorithmic restrictions). If the HASH
        payload is sent it MUST be the first payload of the second message
        exchange and MUST be followed by the encrypted nonce. If the HASH
        payload is not sent, the first payload of the second message exchange
        MUST be the encrypted nonce. In addition, the initiator my optionally
        send a certificate payload to provide the responder with a public key
        with which to respond.

        When using the revised encryption mode for authentication, Main Mode
        is defined as follows.

        Initiator                        Responder
        -----------                      -----------
        HDR, SA                   -->
        <--    HDR, SA
        HDR, [ HASH(1), ]
        <Ni_b>Pubkey_r,
        <KE_b>Ke_i,
        <IDii_b>Ke_i,
        [<<Cert-I_b>Ke_i]       -->
        HDR, <Nr_b>PubKey_i,
        <KE_b>Ke_r,
        <--         <IDir_b>Ke_r,
        HDR*, HASH_I              -->
        <--    HDR*, HASH_R

        Aggressive Mode authenticated with the revised encryption method is
        described as follows:

        Initiator                        Responder
        -----------                      -----------
        HDR, SA, [ HASH(1),]
        <Ni_b>Pubkey_r,
        <KE_b>Ke_i, <IDii_b>Ke_i
        [, <Cert-I_b>Ke_i ]     -->
        HDR, SA, <Nr_b>PubKey_i,
        <KE_b>Ke_r, <IDir_b>Ke_r,
        <--         HASH_R
        HDR, HASH_I               -->

        where HASH(1) is identical to section 5.2. Ke_i and Ke_r are keys to
        the symmetric encryption algorithm negotiated in the SA payload
        exchange. Only the body of the payloads are encrypted (in both public
        key and symmetric operations), the generic payload headers are left
        in the clear. The payload length includes that added to perform
        encryption.

        The symmetric cipher keys are derived from the decrypted nonces as
        follows.  First the values Ne_i and Ne_r are computed:

        Ne_i = prf(Ni_b, CKY-I)
        Ne_r = prf(Nr_b, CKY-R)

        The keys Ke_i and Ke_r are then taken from Ne_i and Ne_r respectively
        in the manner described in Appendix B used to derive symmetric keys
        for use with the negotiated encryption algorithm. If the length of
        the output of the negotiated prf is greater than or equal to the key
        length requirements of the cipher, Ke_i and Ke_r are derived from the
        most significant bits of Ne_i and Ne_r respectively. If the desired
        length of Ke_i and Ke_r exceed the length of the output of the prf
        the necessary number of bits is obtained by repeatedly feeding the
        results of the prf back into itself and concatenating the result
        until the necessary number has been achieved. For example, if the
        negotiated encryption algorithm requires 320 bits of key and the
        output of the prf is only 128 bits, Ke_i is the most significant 320
        bits of K, where

        K = K1 | K2 | K3 and
        K1 = prf(Ne_i, 0)
        K2 = prf(Ne_i, K1)
        K3 = prf(Ne_i, K2)

        For brevity, only derivation of Ke_i is shown; Ke_r is identical. The
        length of the value 0 in the computation of K1 is a single octet.
        Note that Ne_i, Ne_r, Ke_i, and Ke_r are all ephemeral and MUST be
        discarded after use.

        Save the requirements on the location of the optional HASH payload
        and the mandatory nonce payload there are no further payload
        requirements. All payloads-- in whatever order-- following the
        encrypted nonce MUST be encrypted with Ke_i or Ke_r depending on the
        direction.

        If CBC mode is used for the symmetric encryption then the
        initialization vectors (IVs) are set as follows. The IV for
        encrypting the first payload following the nonce is set to 0 (zero).
        The IV for subsequent payloads encrypted with the ephemeral symmetric
        cipher key, Ke_i, is the last ciphertext block of the previous
        payload. Encrypted payloads are padded up to the nearest block size.
        All padding bytes, except for the last one, contain 0x00. The last
        byte of the padding contains the number of the padding bytes used,
        excluding the last one. Note that this means there will always be
        padding.

      
        5.4 Phase 1 Authenticated With a Pre-Shared Key

        A key derived by some out-of-band mechanism may also be used to
        authenticate the exchange. The actual establishment of this key is
        out of the scope of this document.

        When doing a pre-shared key authentication, Main Mode is defined as
        follows:

        Initiator                        Responder
        ----------                       -----------
        HDR, SA             -->
        <--    HDR, SA
        HDR, KE, Ni         -->
        <--    HDR, KE, Nr
        HDR*, IDii, HASH_I  -->
        <--    HDR*, IDir, HASH_R

        Aggressive mode with a pre-shared key is described as follows:

        Initiator                        Responder
        -----------                      -----------
        HDR, SA, KE, Ni, IDii -->
        <--    HDR, SA, KE, Nr, IDir, HASH_R
        HDR, HASH_I           -->

        When using pre-shared key authentication with Main Mode the key can
        only be identified by the IP address of the peers since HASH_I must
        be computed before the initiator has processed IDir. Aggressive Mode
        allows for a wider range of identifiers of the pre-shared secret to
        be used. In addition, Aggressive Mode allows two parties to maintain
        multiple, different pre-shared keys and identify the correct one for
        a particular exchange.

      
        5.5 Phase 2 - Quick Mode

        Quick Mode is not a complete exchange itself (in that it is bound to
        a phase 1 exchange), but is used as part of the SA negotiation
        process (phase 2) to derive keying material and negotiate shared
        policy for non-ISAKMP SAs. The information exchanged along with Quick
        Mode MUST be protected by the ISAKMP SA-- i.e. all payloads except
        the ISAKMP header are encrypted. In Quick Mode, a HASH payload MUST
        immediately follow the ISAKMP header and a SA payload MUST
        immediately follow the HASH. This HASH authenticates the message and
        also provides liveliness proofs.

        The message ID in the ISAKMP header identifies a Quick Mode in
        progress for a particular ISAKMP SA which itself is identified by the
        cookies in the ISAKMP header. Since each instance of a Quick Mode
        uses a unique initialization vector (see Appendix B) it is possible
        to have multiple simultaneous Quick Modes, based off a single ISAKMP
        SA, in progress at any one time.

        Quick Mode is essentially a SA negotiation and an exchange of nonces
        that provides replay protection. The nonces are used to generate
        fresh key material and prevent replay attacks from generating bogus
        security associations.  An optional Key Exchange payload can be
        exchanged to allow for an additional Diffie-Hellman exchange and
        exponentiation per Quick Mode. While use of the key exchange payload
        with Quick Mode is optional it MUST be supported.

        Base Quick Mode (without the KE payload) refreshes the keying
        material derived from the exponentiation in phase 1. This does not
        provide PFS.  Using the optional KE payload, an additional
        exponentiation is performed and PFS is provided for the keying
        material.

        The identities of the SAs negotiated in Quick Mode are implicitly
        assumed to be the IP addresses of the ISAKMP peers, without any
        implied constraints on the protocol or port numbers allowed, unless
        client identifiers are specified in Quick Mode.  If ISAKMP is acting
        as a client negotiator on behalf of another party, the identities of
        the parties MUST be passed as IDci and then IDcr.  Local policy will
        dictate whether the proposals are acceptable for the identities
        specified.  If the client identities are not acceptable to the Quick
        Mode responder (due to policy or other reasons), a Notify payload
        with Notify Message Type INVALID-ID-INFORMATION (18) SHOULD be sent.

        The client identities are used to identify and direct traffic to the
        appropriate tunnel in cases where multiple tunnels exist between two
        peers and also to allow for unique and shared SAs with different
        granularities.

        All offers made during a Quick Mode are logically related and must be
        consistant. For example, if a KE payload is sent, the attribute
        describing the Diffie-Hellman group (see section 6.1 and [Pip97])
        MUST be included in every transform of every proposal of every SA
        being negotiated. Similarly, if client identities are used, they MUST
        apply to every SA in the negotiation.

        Quick Mode is defined as follows:

        Initiator                        Responder
        -----------                      -----------
        HDR*, HASH(1), SA, Ni
        [, KE ] [, IDci, IDcr ] -->
        <--    HDR*, HASH(2), SA, Nr
        [, KE ] [, IDci, IDcr ]
        HDR*, HASH(3)             -->

        Where:
        HASH(1) is the prf over the message id (M-ID) from the ISAKMP header
        concatenated with the entire message that follows the hash including
        all payload headers, but excluding any padding added for encryption.
        HASH(2) is identical to HASH(1) except the initiator's nonce-- Ni,
        minus the payload header-- is added after M-ID but before the
        complete message.  The addition of the nonce to HASH(2) is for a
        liveliness proof. HASH(3)-- for liveliness-- is the prf over the
        value zero represented as a single octet, followed by a concatenation
        of the message id and the two nonces-- the initiator's followed by
        the responder's-- minus the payload header. In other words, the
        hashes for the above exchange are:

        HASH(1) = prf(SKEYID_a, M-ID | SA | Ni [ | KE ] [ | IDci | IDcr )
        HASH(2) = prf(SKEYID_a, M-ID | Ni_b | SA | Nr [ | KE ] [ | IDci |
        IDcr )
        HASH(3) = prf(SKEYID_a, 0 | M-ID | Ni_b | Nr_b)

        With the exception of the HASH, SA, and the optional ID payloads,
        there are no payload ordering restrictions on Quick Mode. HASH(1) and
        HASH(2) may differ from the illustration above if the order of
        payloads in the message differs from the illustrative example or if
        any optional payloads, for example a notify payload, have been
        chained to the message.

        If PFS is not needed, and KE payloads are not exchanged, the new
        keying material is defined as

        KEYMAT = prf(SKEYID_d, protocol | SPI | Ni_b | Nr_b).

        If PFS is desired and KE payloads were exchanged, the new keying
        material is defined as

        KEYMAT = prf(SKEYID_d, g(qm)^xy | protocol | SPI | Ni_b | Nr_b)

        where g(qm)^xy is the shared secret from the ephemeral Diffie-Hellman
        exchange of this Quick Mode.

        In either case, "protocol" and "SPI" are from the ISAKMP Proposal
        Payload that contained the negotiated Transform.

        A single SA negotiation results in two security assocations-- one
        inbound and one outbound. Different SPIs for each SA (one chosen by
        the initiator, the other by the responder) guarantee a different key
        for each direction.  The SPI chosen by the destination of the SA is
        used to derive KEYMAT for that SA.

        For situations where the amount of keying material desired is greater
        than that supplied by the prf, KEYMAT is expanded by feeding the
        results of the prf back into itself and concatenating results until
        the required keying material has been reached. In other words,

        KEYMAT = K1 | K2 | K3 | ...
        where
        K1 = prf(SKEYID_d, [ g(qm)^xy | ] protocol | SPI | Ni_b | Nr_b)
        K2 = prf(SKEYID_d, K1 | [ g(qm)^xy | ] protocol | SPI | Ni_b |
        Nr_b)
        K3 = prf(SKEYID_d, K2 | [ g(qm)^xy | ] protocol | SPI | Ni_b |
        Nr_b)
        etc.

        This keying material (whether with PFS or without, and whether
        derived directly or through concatenation) MUST be used with the
        negotiated SA. It is up to the service to define how keys are derived
        from the keying material.

        In the case of an ephemeral Diffie-Hellman exchange in Quick Mode,
        the exponential (g(qm)^xy) is irretreivably removed from the current
        state and SKEYID_e and SKEYID_a (derived from phase 1 negotiation)
        continue to protect and authenticate the ISAKMP SA and SKEYID_d
        continues to be used to derive keys.

        Using Quick Mode, multiple SA's and keys can be negotiated with one
        exchange as follows:

        Initiator                        Responder
        -----------                      -----------
        HDR*, HASH(1), SA0, SA1, Ni,
        [, KE ] [, IDci, IDcr ] -->
        <--    HDR*, HASH(2), SA0, SA1, Nr,
        [, KE ] [, IDci, IDcr ]
        HDR*, HASH(3)             -->

        The keying material is derived identically as in the case of a single
        SA. In this case (negotiation of two SA payloads) the result would be
        four security associations-- two each way for both SAs.

      
        5.6 New Group Mode

        New Group Mode MUST NOT be used prior to establishment of an ISAKMP
        SA. The description of a new group MUST only follow phase 1
        negotiation.  (It is not a phase 2 exchange, though).

        Initiator                        Responder
        -----------                      -----------
        HDR*, HASH(1), SA        -->
        <--     HDR*, HASH(2), SA

        where HASH(1) is the prf output, using SKEYID_a as the key, and the
        message-ID from the ISAKMP header concatenated with the entire SA
        proposal, body and header, as the data; HASH(2) is the prf output,
        using SKEYID_a as the key, and the message-ID from the ISAKMP header
        concatenated with the reply as the data. In other words the hashes
        for the above exchange are:

        HASH(1) = prf(SKEYID_a, M-ID | SA)
        HASH(2) = prf(SKEYID_a, M-ID | SA)

        The proposal will specify the characteristics of the group (see
        appendix A, "Attribute Assigned Numbers"). Group descriptions for
        private Groups MUST be greater than or equal to 2^15.  If the group
        is not acceptable, the responder MUST reply with a Notify payload
        with the message type set to ATTRIBUTES-NOT-SUPPORTED (13).

        ISAKMP implementations MAY require private groups to expire with the
        SA under which they were established.

        Groups may be directly negotiated in the SA proposal with Main Mode.
        To do this the component parts-- for a MODP group, the type, prime
        and generator; for a EC2N group the type, the Irreducible Polynomial,
        Group Generator One, Group Generator Two, Group Curve A, Group Curve
        B and Group Order-- are passed as SA attributes (see Appendix A).
        Alternately, the nature of the group can be hidden using New Group
        Mode and only the group identifier is passed in the clear during
        phase 1 negotiation.

      
        5.7 ISAKMP Informational Exchanges

        This protocol protects ISAKMP Informational Exchanges when possible.
        Once the ISAKMP security association has been established (and
        SKEYID_e and SKEYID_a have been generated) ISAKMP Information
        Exchanges, when used with this protocol, are as follows:

        Initiator                        Responder
        -----------                      -----------
        HDR*, HASH(1), N/D      -->

        where N/D is either an ISAKMP Notify Payload or an ISAKMP Delete
        Payload and HASH(1) is the prf output, using SKEYID_a as the key, and
        a M-ID unique to this exchange concatenated with the entire
        informational payload (either a Notify or Delete) as the data. In
        other words, the hash for the above exchange is:

        HASH(1) = prf(SKEYID_a, M-ID | N/D)

        As noted the message ID in the ISAKMP header-- and used in the prf
        computation-- is unique to this exchange and MUST NOT be the same as
        the message ID of another phase 2 exchange which generated this
        informational exchange. The derivation of the initialization vector,
        used with SKEYID_e to encrypt this message, is described in Appendix
        B.

        If the ISAKMP security association has not yet been established at
        the time of the Informational Exchange, the exchange is done in the
        clear without an accompanying HASH payload.

      
        6 Oakley Groups

        With IKE, the group in which to do the Diffie-Hellman exchange is
        negotiated. Four groups-- values 1 through 4-- are defined below.
        These groups originated with the Oakley protocol and are therefore
        called "Oakley Groups". The attribute class for "Group" is defined in
        Appendix A. All values 2^15 and higher are used for private group
        identifiers. For a discussion on the strength of the default Oakley
        groups please see the Security Considerations section below.

        These groups were all generated by Richard Schroeppel at the
        University of Arizona. Properties of these groups are described in
        [Orm96].

      
        6.1 First Oakley Default Group

        Oakley implementations MUST support a MODP group with the following
        prime and generator. This group is assigned id 1 (one).

        The prime is: 2^768 - 2 ^704 - 1 + 2^64 * { [2^638 pi] + 149686 }
        Its hexadecimal value is

        FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
        29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
        EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
        E485B576 625E7EC6 F44C42E9 A63A3620 FFFFFFFF FFFFFFFF

        The generator is: 2.

      
        6.2 Second Oakley Group

        IKE implementations SHOULD support a MODP group with the following
        prime and generator. This group is assigned id 2 (two).

        The prime is 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }.
        Its hexadecimal value is

        FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1
        29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD
        EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245
        E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED
        EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE65381
        FFFFFFFF FFFFFFFF

        The generator is 2 (decimal)

      
        6.3 Third Oakley Group

        IKE implementations SHOULD support a EC2N group with the following
        characteristics. This group is assigned id 3 (three). The curve is
        based on the Galois Field GF[2^155]. The field size is 155. The
        irreducible polynomial for the field is:
        u^155 + u^62 + 1.
        The equation for the elliptic curve is:
        y^2 + xy = x^3 + ax^2 + b.

        Field Size:                         155
        Group Prime/Irreducible Polynomial:
        0x0800000000000000000000004000000000000001
        Group Generator One:                0x7b
        Group Curve A:                      0x0
        Group Curve B:                      0x07338f

        Group Order: 0X0800000000000000000057db5698537193aef944

        The data in the KE payload when using this group is the value x from
        the solution (x,y), the point on the curve chosen by taking the
        randomly chosen secret Ka and computing Ka*P, where * is the
        repetition of the group addition and double operations, P is the
        curve point with x coordinate equal to generator 1 and the y
        coordinate determined from the defining equation. The equation of
        curve is implicitly known by the Group Type and the A and B
        coefficients. There are two possible values for the y coordinate;
        either one can be used successfully (the two parties need not agree
        on the selection).

      
        6.4 Fourth Oakley Group

        IKE implementations SHOULD support a EC2N group with the following
        characteristics. This group is assigned id 4 (four). The curve is
        based on the Galois Field GF[2^185]. The field size is 185. The
        irreducible polynomial for the field is:
        u^185 + u^69 + 1. The
        equation for the elliptic curve is:
        y^2 + xy = x^3 + ax^2 + b.

        Field Size:                         185
        Group Prime/Irreducible Polynomial:
        0x020000000000000000000000000000200000000000000001
        Group Generator One:                0x18
        Group Curve A:                      0x0
        Group Curve B:                      0x1ee9

        Group Order: 0X01ffffffffffffffffffffffdbf2f889b73e484175f94ebc

        The data in the KE payload when using this group will be identical to
        that as when using Oakley Group 3 (three).

        Other groups can be defined using New Group Mode. These default
        groups were generated by Richard Schroeppel at the University of
        Arizona.  Properties of these primes are described in [Orm96].

      
        7. Payload Explosion for a Complete IKE Exchange

        This section illustrates how the IKE protocol is used to:

        - establish a secure and authenticated channel between ISAKMP
        processes (phase 1); and

        - generate key material for, and negotiate, an IPsec SA (phase 2).

      
        7.1 Phase 1 using Main Mode

        The following diagram illustrates the payloads exchanged between the
        two parties in the first round trip exchange. The initiator MAY
        propose several proposals; the responder MUST reply with one.

        0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~             ISAKMP Header with XCHG of Main Mode,             ~
        ~                  and Next Payload of ISA_SA                   ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !                  Domain of Interpretation                     !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !                          Situation                            !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !  Proposal #1  ! PROTO_ISAKMP  ! SPI size = 0  | # Transforms  !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !    ISA_TRANS  !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !  Transform #1 !  KEY_OAKLEY   |          RESERVED2            !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~                   prefered SA attributes                      ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !  Transform #2 !  KEY_OAKLEY   |          RESERVED2            !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~                   alternate SA attributes                     ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

        The responder replies in kind but selects, and returns, one transform
        proposal (the ISAKMP SA attributes).

        The second exchange consists of the following payloads:

        0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~             ISAKMP Header with XCHG of Main Mode,             ~
        ~                  and Next Payload of ISA_KE                   ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !    ISA_NONCE  !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~   D-H Public Value  (g^xi from initiator g^xr from responder) ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~         Ni (from initiator) or  Nr (from responder)           ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

        The shared keys, SKEYID_e and SKEYID_a, are now used to protect and
        authenticate all further communication. Note that both SKEYID_e and
        SKEYID_a are unauthenticated.

        0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~            ISAKMP Header with XCHG of Main Mode,              ~
        ~     and Next Payload of ISA_ID and the encryption bit set     ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !    ISA_SIG    !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~        Identification Data of the ISAKMP negotiator           ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~       signature verified by the public key of the ID above    ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

        The key exchange is authenticated over a signed hash as described in
        section 5.1. Once the signature has been verified using the
        authentication algorithm negotiated as part of the ISAKMP SA, the
        shared keys, SKEYID_e and SKEYID_a can be marked as authenticated.
        (For brevity, certificate payloads were not exchanged).

      
        7.2 Phase 2 using Quick Mode

        The following payloads are exchanged in the first round of Quick Mode
        with ISAKMP SA negotiation. In this hypothetical exchange, the ISAKMP
        negotiators are proxies for other parties which have requested
        authentication.

        0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~            ISAKMP Header with XCHG of Quick Mode,             ~
        ~   Next Payload of ISA_HASH and the encryption bit set         ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !     ISA_SA    !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~                 keyed hash of message                         ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !   ISA_NONCE   !    RESERVED   !         Payload Length        !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !                 Domain Of Interpretation                      !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !                          Situation                            !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !  Proposal #1  ! PROTO_IPSEC_AH! SPI size = 4  | # Transforms  !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~                        SPI (4 octets)                         ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !    ISA_TRANS  !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !  Transform #1 !     AH_SHA    |          RESERVED2            !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !                       other SA attributes                     !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !  Transform #2 !     AH_MD5    |          RESERVED2            !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !                       other SA attributes                     !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !    ISA_ID     !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~                            nonce                              ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !    ISA_ID     !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~              ID of source for which ISAKMP is a client        ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !      0        !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~           ID of destination for which ISAKMP is a client      ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

        where the contents of the hash are described in 5.5 above. The
        responder replies with a similar message which only contains one
        transform-- the selected AH transform. Upon receipt, the initiator
        can provide the key engine with the negotiated security association
        and the keying material.  As a check against replay attacks, the
        responder waits until receipt of the next message.

        0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~          ISAKMP Header with XCHG of Quick Mode,               ~
        ~   Next Payload of ISA_HASH and the encryption bit set         ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        !       0       !    RESERVED   !        Payload Length         !
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
        ~                         hash data                             ~
        +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+

        where the contents of the hash are described in 5.5 above.

      
        8. Perfect Forward Secrecy Example

        This protocol can provide PFS of both keys and identities. The
        identies of both the ISAKMP negotiating peer and, if applicable, the
        identities for whom the peers are negotiating can be protected with
        PFS.

        To provide Perfect Forward Secrecy of both keys and all identities,
        two parties would perform the following:

        o A Main Mode Exchange to protect the identities of the ISAKMP
        peers.
        This establishes an ISAKMP SA.
        o A Quick Mode Exchange to negotiate other security protocol
        protection.
        This establishes a SA on each end for this protocol.
        o Delete the ISAKMP SA and its associated state.

        Since the key for use in the non-ISAKMP SA was derived from the
        single ephemeral Diffie-Hellman exchange PFS is preserved.

        To provide Perfect Forward Secrecy of merely the keys of a non-ISAKMP
        security association, it in not necessary to do a phase 1 exchange if
        an ISAKMP SA exists between the two peers. A single Quick Mode in
        which the optional KE payload is passed, and an additional Diffie-
        Hellman exchange is performed, is all that is required. At this point
        the state derived from this Quick Mode must be deleted from the
        ISAKMP SA as described in section 5.5.

      
        9. Implementation Hints

        Using a single ISAKMP Phase 1 negotiation makes subsequent Phase 2
        negotiations extremely quick.  As long as the Phase 1 state remains
        cached, and PFS is not needed, Phase 2 can proceed without any
        exponentiation. How many Phase 2 negotiations can be performed for a
        single Phase 1 is a local policy issue. The decision will depend on
        the strength of the algorithms being used and level of trust in the
        peer system.

        An implementation may wish to negotiate a range of SAs when
        performing Quick Mode.  By doing this they can speed up the "re-
        keying". Quick Mode defines how KEYMAT is defined for a range of SAs.
        When one peer feels it is time to change SAs they simply use the next
        one within the stated range. A range of SAs can be established by
        negotiating multiple SAs (identical attributes, different SPIs) with
        one Quick Mode.

        An optimization that is often useful is to establish Security
        Associations with peers before they are needed so that when they
        become needed they are already in place. This ensures there would be
        no delays due to key management before initial data transmission.
        This optimization is easily implemented by setting up more than one
        Security Association with a peer for each requested Security
        Association and caching those not immediately used.

        Also, if an ISAKMP implementation is alerted that a SA will soon be
        needed (e.g. to replace an existing SA that will expire in the near
        future), then it can establish the new SA before that new SA is
        needed.

        The base ISAKMP specification describes conditions in which one party
        of the protocol may inform the other party of some activity-- either
        deletion of a security association or in response to some error in
        the protocol such as a signature verification failed or a payload
        failed to decrypt. It is strongly suggested that these Informational
        exchanges not be responded to under any circumstances. Such a
        condition may result in a "notify war" in which failure to understand
        a message results in a notify to the peer who cannot understand it
        and sends his own notify back which is also not understood.

      
        10. Security Considerations

        This entire memo discusses a hybrid protocol, combining parts of
        Oakley and parts of SKEME with ISAKMP, to negotiate, and derive
        keying material for, security associations in a secure and
        authenticated manner.

        Confidentiality is assured by the use of a negotiated encryption
        algorithm.  Authentication is assured by the use of a negotiated
        method: a digital signature algorithm; a public key algorithm which
        supports encryption; or, a pre-shared key. The confidentiality and
        authentication of this exchange is only as good as the attributes
        negotiated as part of the ISAKMP security association.

        Repeated re-keying using Quick Mode can consume the entropy of the
        Diffie-Hellman shared secret. Implementors should take note of this
        fact and set a limit on Quick Mode Exchanges between exponentiations.
        This memo does not prescribe such a limit.

        Perfect Forward Secrecy (PFS) of both keying material and identities
        is possible with this protocol. By specifying a Diffie-Hellman group,
        and passing public values in KE payloads, ISAKMP peers can establish
        PFS of keys-- the identities would be protected by SKEYID_e from the
        ISAKMP SA and would therefore not be protected by PFS. If PFS of both
        keying material and identities is desired, an ISAKMP peer MUST
        establish only one non-ISAKMP security association (e.g. IPsec
        Security Association) per ISAKMP SA. PFS for keys and identities is
        accomplished by deleting the ISAKMP SA (and optionally issuing a
        DELETE message) upon establishment of the single non-ISAKMP SA. In
        this way a phase one negotiation is uniquely tied to a single phase
        two negotiation, and the ISAKMP SA established during phase one
        negotiation is never used again.

        The strength of a key derived from a Diffie-Hellman exchange using
        any of the groups defined here depends on the inherent strength of
        the group, the size of the exponent used, and the entropy provided by
        the random number generator used. Due to these inputs it is difficult
        to determine the strength of a key for any of the defined groups. The
        default Diffie-Hellman group (number one) when used with a strong
        random number generator and an exponent no less than 160 bits is
        sufficient to use for DES.  Groups two through four provide greater
        security. Implementations should make note of these conservative
        estimates when establishing policy and negotiating security
        parameters.

        Note that these limitations are on the Diffie-Hellman groups
        themselves.  There is nothing in IKE which prohibits using stronger
        groups nor is there anything which will dilute the strength obtained
        from stronger groups. In fact, the extensible framework of IKE
        encourages the definition of more groups; use of elliptical curve
        groups will greatly increase strength using much smaller numbers.

        For situations where defined groups provide insufficient strength New
        Group Mode can be used to exchange a Diffie-Hellman group which
        provides the necessary strength. In is incumbent upon implementations
        to check the primality in groups being offered and independently
        arrive at strength estimates.

        It is assumed that the Diffie-Hellman exponents in this exchange are
        erased from memory after use. In particular, these exponents must not
        be derived from long-lived secrets like the seed to a pseudo-random
        generator.

        IKE exchanges maintain running initialization vectors (IV) where the
        last ciphertext block of the last message is the IV for the next
        message. To prevent retransmissions (or forged messages with valid
        cookies) from causing exchanges to get out of sync IKE
        implementations SHOULD NOT update their running IV until the
        decrypted message has passed a basic sanity check and has been
        determined to actually advance the IKE state machine-- i.e. it is not
        a retransmission.

        While the last roundtrip of Main Mode (and optionally the last
        message of Aggressive Mode) is encrypted it is not, strictly
        speaking, authenticated.  An active substitution attack on the
        ciphertext could result in payload corruption. If such an attack
        corrupts mandatory payloads it would be detected by an authentication
        failure, but if it corrupts any optional payloads (e.g. notify
        payloads chained onto the last message of a Main Mode exchange) it
        might not be detectable.

      
        11. IANA Considerations

        This document contains many "magic numbers" to be maintained by the
        IANA.  This section explains the criteria to be used by the IANA to
        assign additional numbers in each of these lists.

      
        11.1 Attribute Classes

        Attributes negotiated in this protocol are identified by their class.
        Requests for assignment of new classes must be accompanied by a
        standards-track RFC which describes the use of this attribute.

      
        11.2 Encryption Algorithm Class

        Values of the Encryption Algorithm Class define an encryption
        algorithm to use when called for in this document. Requests for
        assignment of new encryption algorithm values must be accompanied by
        a reference to a standards-track or Informational RFC or a reference
        to published cryptographic literature which describes this algorithm.

      
        11.3 Hash Algorithm

        Values of the Hash Algorithm Class define a hash algorithm to use
        when called for in this document. Requests for assignment of new hash
        algorithm values must be accompanied by a reference to a standards-
        track or Informational RFC or a reference to published cryptographic
        literature which describes this algorithm. Due to the key derivation
        and key expansion uses of HMAC forms of hash algorithms in IKE,
        requests for assignment of new hash algorithm values must take into
        account the cryptographic properties-- e.g it's resistance to
        collision-- of the hash algorithm itself.

      
        11.4 Group Description and Group Type

        Values of the Group Description Class identify a group to use in a
        Diffie-Hellman exchange. Values of the Group Type Class define the
        type of group. Requests for assignment of new groups must be
        accompanied by a reference to a standards-track or Informational RFC
        which describes this group. Requests for assignment of new group
        types must be accompanied by a reference to a standards-track or
        Informational RFC or by a reference to published cryptographic or
        mathmatical literature which describes the new type.

      
        11.5 Life Type

        Values of the Life Type Class define a type of lifetime to which the
        ISAKMP Security Association applies. Requests for assignment of new
        life types must be accompanied by a detailed description of the units
        of this type and its expiry.

      
        12. Acknowledgements

        This document is the result of close consultation with Hugo Krawczyk,
        Douglas Maughan, Hilarie Orman, Mark Schertler, Mark Schneider, and
        Jeff Turner. It relies on protocols which were written by them.
        Without their interest and dedication, this would not have been
        written.

        Special thanks Rob Adams, Cheryl Madson, Derrell Piper, Harry Varnis,
        and Elfed Weaver for technical input, encouragement, and various
        sanity checks along the way.

        We would also like to thank the many members of the IPSec working
        group that contributed to the development of this protocol over the
        past year.

      
        13. References

        [CAST]   Adams, C., "The CAST-128 Encryption Algorithm", RFC 2144,
        May 1997.

        [BLOW]   Schneier, B., "The Blowfish Encryption Algorithm", Dr.
        Dobb's Journal, v. 19, n. 4, April 1994.

        [Bra97]  Bradner, S., "Key Words for use in RFCs to indicate
        Requirement Levels", BCP 14, RFC 2119, March 1997.

        [DES]    ANSI X3.106, "American National Standard for Information
        Systems-Data Link Encryption", American National Standards
        Institute, 1983.

        [DH]     Diffie, W., and Hellman M., "New Directions in
        Cryptography", IEEE Transactions on Information Theory, V.
        IT-22, n. 6, June 1977.

        [DSS]    NIST, "Digital Signature Standard", FIPS 186, National
        Institute of Standards and Technology, U.S. Department of
        Commerce, May, 1994.

        [IDEA]   Lai, X., "On the Design and Security of Block Ciphers," ETH
        Series in Information Processing, v. 1, Konstanz: Hartung-
        Gorre Verlag, 1992

        [KBC96]  Krawczyk, H., Bellare, M., and R. Canetti, "HMAC: Keyed-
        Hashing for Message Authentication", RFC 2104, February
        1997.

        [SKEME]  Krawczyk, H., "SKEME: A Versatile Secure Key Exchange
        Mechanism for Internet", from IEEE Proceedings of the 1996
        Symposium on Network and Distributed Systems Security.

        [MD5]    Rivest, R., "The MD5 Message Digest Algorithm", RFC 1321,
        April 1992.

        [MSST98] Maughhan, D., Schertler, M., Schneider, M., and J. Turner,
        "Internet Security Association and Key Management Protocol
        (ISAKMP)", RFC 2408, November 1998.

        [Orm96]  Orman, H., "The Oakley Key Determination Protocol", RFC
        2412, November 1998.

        [PKCS1]  RSA Laboratories, "PKCS #1: RSA Encryption Standard",
        November 1993.

        [Pip98]  Piper, D., "The Internet IP Security Domain Of
        Interpretation for ISAKMP", RFC 2407, November 1998.

        [RC5]    Rivest, R., "The RC5 Encryption Algorithm", Dr. Dobb's
        Journal, v. 20, n. 1, January 1995.

        [RSA]    Rivest, R., Shamir, A., and Adleman, L., "A Method for
        Obtaining Digital Signatures and Public-Key Cryptosystems",
        Communications of the ACM, v. 21, n. 2, February 1978.

        [Sch96]  Schneier, B., "Applied Cryptography, Protocols, Algorithms,
        and Source Code in C", 2nd edition.

        [SHA]    NIST, "Secure Hash Standard", FIPS 180-1, National Institue
        of Standards and Technology, U.S. Department of Commerce,
        May 1994.

        [TIGER]  Anderson, R., and Biham, E., "Fast Software Encryption",
        Springer LNCS v. 1039, 1996.

      
        Appendix A

        This is a list of DES Weak and Semi-Weak keys.  The keys come from
        [Sch96].  All keys are listed in hexidecimal.

        DES Weak Keys
        0101 0101 0101 0101
        1F1F 1F1F E0E0 E0E0
        E0E0 E0E0 1F1F 1F1F
        FEFE FEFE FEFE FEFE

        DES Semi-Weak Keys
        01FE 01FE 01FE 01FE
        1FE0 1FE0 0EF1 0EF1
        01E0 01E0 01F1 01F1
        1FFE 1FFE 0EFE 0EFE
        011F 011F 010E 010E
        E0FE E0FE F1FE F1FE

        FE01 FE01 FE01 FE01
        E01F E01F F10E F10E
        E001 E001 F101 F101
        FE1F FE1F FE0E FE0E
        1F01 1F01 0E01 0E01
        FEE0 FEE0 FEF1 FEF1

        Attribute Assigned Numbers

        Attributes negotiated during phase one use the following definitions.
        Phase two attributes are defined in the applicable DOI specification
        (for example, IPsec attributes are defined in the IPsec DOI), with
        the exception of a group description when Quick Mode includes an
        ephemeral Diffie-Hellman exchange.  Attribute types can be either
        Basic (B) or Variable-length (V). Encoding of these attributes is
        defined in the base ISAKMP specification as Type/Value (Basic) and
        Type/Length/Value (Variable).

        Attributes described as basic MUST NOT be encoded as variable.
        Variable length  attributes MAY be encoded as basic attributes if
        their value can fit into two octets. If this is the case, an
        attribute offered as variable (or basic) by the initiator of this
        protocol MAY be returned to the initiator as a basic (or variable).

        Attribute Classes

        class                         value              type
        -------------------------------------------------------------------
        Encryption Algorithm                1                 B
        Hash Algorithm                      2                 B
        Authentication Method               3                 B
        Group Description                   4                 B
        Group Type                          5                 B
        Group Prime/Irreducible Polynomial  6                 V
        Group Generator One                 7                 V
        Group Generator Two                 8                 V
        Group Curve A                       9                 V
        Group Curve B                      10                 V
        Life Type                          11                 B
        Life Duration                      12                 V
        PRF                                13                 B
        Key Length                         14                 B
        Field Size                         15                 B
        Group Order                        16                 V

        values 17-16383 are reserved to IANA. Values 16384-32767 are for
        private use among mutually consenting parties.

        Class Values

        - Encryption Algorithm                       Defined In
        DES-CBC                             1     RFC 2405
        IDEA-CBC                            2
        Blowfish-CBC                        3
        RC5-R16-B64-CBC                     4
        3DES-CBC                            5
        CAST-CBC                            6

        values 7-65000 are reserved to IANA. Values 65001-65535 are for
        private use among mutually consenting parties.

        - Hash Algorithm                             Defined In
        MD5                                 1     RFC 1321
        SHA                                 2     FIPS 180-1
        Tiger                               3     See Reference [TIGER]

        values 4-65000 are reserved to IANA. Values 65001-65535 are for
        private use among mutually consenting parties.

        - Authentication Method
        pre-shared key                      1
        DSS signatures                      2
        RSA signatures                      3
        Encryption with RSA                 4
        Revised encryption with RSA         5

        values 6-65000 are reserved to IANA. Values 65001-65535 are for
        private use among mutually consenting parties.

        - Group Description
        default 768-bit MODP group (section 6.1)      1

        alternate 1024-bit MODP group (section 6.2)   2

        EC2N group on GP[2^155] (section 6.3)         3

        EC2N group on GP[2^185] (section 6.4)         4

        values 5-32767 are reserved to IANA. Values 32768-65535 are for
        private use among mutually consenting parties.

        - Group Type
        MODP (modular exponentiation group)            1
        ECP  (elliptic curve group over GF[P])         2
        EC2N (elliptic curve group over GF[2^N])       3

        values 4-65000 are reserved to IANA. Values 65001-65535 are for
        private use among mutually consenting parties.

        - Life Type
        seconds                             1
        kilobytes                           2

        values 3-65000 are reserved to IANA. Values 65001-65535 are for
        private use among mutually consenting parties. For a given "Life
        Type" the value of the "Life Duration" attribute defines the actual
        length of the SA life-- either a number of seconds, or a number of
        kbytes protected.

        - PRF
        There are currently no pseudo-random functions defined.

        values 1-65000 are reserved to IANA. Values 65001-65535 are for
        private use among mutually consenting parties.

        - Key Length

        When using an Encryption Algorithm that has a variable length key,
        this attribute specifies the key length in bits. (MUST use network
        byte order). This attribute MUST NOT be used when the specified
        Encryption Algorithm uses a fixed length key.

        - Field Size

        The field size, in bits, of a Diffie-Hellman group.

        - Group Order

        The group order of an elliptical curve group. Note the length of
        this attribute depends on the field size.

        Additional Exchanges Defined-- XCHG values
        Quick Mode                         32
        New Group Mode                     33

      
        Appendix B

        This appendix describes encryption details to be used ONLY when
        encrypting ISAKMP messages.  When a service (such as an IPSEC
        transform) utilizes ISAKMP to generate keying material, all
        encryption algorithm specific details (such as key and IV generation,
        padding, etc...) MUST be defined by that service.  ISAKMP does not
        purport to ever produce keys that are suitable for any encryption
        algorithm.  ISAKMP produces the requested amount of keying material
        from which the service MUST generate a suitable key.  Details, such
        as weak key checks, are the responsibility of the service.

        Use of negotiated PRFs may require the PRF output to be expanded due
        to the PRF feedback mechanism employed by this document. For example,
        if the (ficticious) DOORAK-MAC requires 24 bytes of key but produces
        only 8 bytes of output, the output must be expanded three times
        before being used as the key for another instance of itself. The
        output of a PRF is expanded by feeding back the results of the PRF
        into itself to generate successive blocks. These blocks are
        concatenated until the requisite number of bytes has been acheived.
        For example, for pre-shared key authentication with DOORAK-MAC as the
        negotiated PRF:

        BLOCK1-8 = prf(pre-shared-key, Ni_b | Nr_b)
        BLOCK9-16 = prf(pre-shared-key, BLOCK1-8 | Ni_b | Nr_b)
        BLOCK17-24 = prf(pre-shared-key, BLOCK9-16 | Ni_b | Nr_b)
        and
        SKEYID = BLOCK1-8 | BLOCK9-16 | BLOCK17-24

        so therefore to derive SKEYID_d:

        BLOCK1-8 = prf(SKEYID, g^xy | CKY-I | CKY-R | 0)
        BLOCK9-16 = prf(SKEYID, BLOCK1-8 | g^xy | CKY-I | CKY-R | 0)
        BLOCK17-24 = prf(SKEYID, BLOCK9-16 | g^xy | CKY-I | CKY-R | 0)
        and
        SKEYID_d = BLOCK1-8 | BLOCK9-16 | BLOCK17-24

        Subsequent PRF derivations are done similarly.

        Encryption keys used to protect the ISAKMP SA are derived from
        SKEYID_e in an algorithm-specific manner. When SKEYID_e is not long
        enough to supply all the necessary keying material an algorithm
        requires, the key is derived from feeding the results of a pseudo-
        random function into itself, concatenating the results, and taking
        the highest necessary bits.

        For example, if (ficticious) algorithm AKULA requires 320-bits of key
        (and has no weak key check) and the prf used to generate SKEYID_e
        only generates 120 bits of material, the key for AKULA, would be the
        first 320-bits of Ka, where:

        Ka = K1 | K2 | K3
        and
        K1 = prf(SKEYID_e, 0)
        K2 = prf(SKEYID_e, K1)
        K3 = prf(SKEYID_e, K2)

        where prf is the negotiated prf or the HMAC version of the negotiated
        hash function (if no prf was negotiated) and 0 is represented by a
        single octet. Each result of the prf provides 120 bits of material
        for a total of 360 bits. AKULA would use the first 320 bits of that
        360 bit string.

        In phase 1, material for the initialization vector (IV material) for
        CBC mode encryption algorithms is derived from a hash of a
        concatenation of the initiator's public Diffie-Hellman value and the
        responder's public Diffie-Hellman value using the negotiated hash
        algorithm. This is used for the first message only. Each message
        should be padded up to the nearest block size using bytes containing
        0x00. The message length in the header MUST include the length of the
        pad since this reflects the size of the ciphertext. Subsequent
        messages MUST use the last CBC encryption block from the previous
        message as their initialization vector.

        In phase 2, material for the initialization vector for CBC mode
        encryption of the first message of a Quick Mode exchange is derived
        from a hash of a concatenation of the last phase 1 CBC output block
        and the phase 2 message id using the negotiated hash algorithm. The
        IV for subsequent messages within a Quick Mode exchange is the CBC
        output block from the previous message. Padding and IVs for
        subsequent messages are done as in phase 1.

        After the ISAKMP SA has been authenticated all Informational
        Exchanges are encrypted using SKEYID_e. The initiaization vector for
        these exchanges is derived in exactly the same fashion as that for a
        Quick Mode-- i.e. it is derived from a hash of a concatenation of the
        last phase 1 CBC output block and the message id from the ISAKMP
        header of the Informational Exchange (not the message id from the
        message that may have prompted the Informational Exchange).

        Note that the final phase 1 CBC output block, the result of
        encryption/decryption of the last phase 1 message, must be retained
        in the ISAKMP SA state to allow for generation of unique IVs for each
        Quick Mode. Each post- phase 1 exchange (Quick Modes and
        Informational Exchanges) generates IVs independantly to prevent IVs
        from getting out of sync when two different exchanges are started
        simultaneously.

        In all cases, there is a single bidirectional cipher/IV context.
        Having each Quick Mode and Informational Exchange maintain a unique
        context prevents IVs from getting out of sync.

        The key for DES-CBC is derived from the first eight (8) non-weak and
        non-semi-weak (see Appendix A) bytes of SKEYID_e. The IV is the first
        8 bytes of the IV material derived above.

        The key for IDEA-CBC is derived from the first sixteen (16) bytes of
        SKEYID_e.  The IV is the first eight (8) bytes of the IV material
        derived above.

        The key for Blowfish-CBC is either the negotiated key size, or the
        first fifty-six (56) bytes of a key (if no key size is negotiated)
        derived in the aforementioned pseudo-random function feedback method.
        The IV is the first eight (8) bytes of the IV material derived above.

        The key for RC5-R16-B64-CBC is the negotiated key size, or the first
        sixteen (16) bytes of a key (if no key size is negotiated) derived
        from the aforementioned pseudo-random function feedback method if
        necessary. The IV is the first eight (8) bytes of the IV material
        derived above. The number of rounds MUST be 16 and the block size
        MUST be 64.

        The key for 3DES-CBC is the first twenty-four (24) bytes of a key
        derived in the aforementioned pseudo-random function feedback method.
        3DES-CBC is an encrypt-decrypt-encrypt operation using the first,
        middle, and last eight (8) bytes of the entire 3DES-CBC key.  The IV
        is the first eight (8) bytes of the IV material derived above.

        The key for CAST-CBC is either the negotiated key size, or the first
        sixteen (16) bytes of a key derived in the aforementioned pseudo-
        random function feedback method.  The IV is the first eight (8) bytes
        of the IV material derived above.

        Support for algorithms other than DES-CBC is purely optional. Some
        optional algorithms may be subject to intellectual property claims.

        Authors' Addresses

        Dan Harkins
        cisco Systems
        170 W. Tasman Dr.
        San Jose, California, 95134-1706
        United States of America

        Phone: +1 408 526 4000
        EMail: dharkins@cisco.com

        Dave Carrel
        76 Lippard Ave.
        San Francisco, CA 94131-2947
        United States of America

        Phone: +1 415 337 8469
        EMail: carrel@ipsec.org

      
        Authors' Note

        The authors encourage independent implementation, and
        interoperability testing, of this hybrid protocol.

      
        Full Copyright Statement

        Copyright (C) The Internet Society (1998).  All Rights Reserved.

        This document and translations of it may be copied and furnished to
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