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Versions: 00 01 02 03 04 05 06 07 08 09 10 11 12 RFC 4492

TLS Working Group                                               V. Gupta
Internet-Draft                                                  Sun Labs
Expires: May 1, 2004                                     S. Blake-Wilson
                                                                     BCI
                                                              B. Moeller
                                                                     TBD
                                                                 C. Hawk
                                                  Independent Consultant
                                                              N. Bolyard
                                                                Netscape
                                                               Nov. 2003


                       ECC Cipher Suites for TLS
                      <draft-ietf-tls-ecc-04.txt>

Status of this Memo

   This document is an Internet-Draft and is in full conformance with
   all provisions of Section 10 of RFC2026.

   Internet-Drafts are working documents of the Internet Engineering
   Task Force (IETF), its areas, and its working groups.  Note that
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   Drafts.

   Internet-Drafts are draft documents valid for a maximum of six months
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   The list of current Internet-Drafts can be accessed at http://
   www.ietf.org/ietf/1id-abstracts.txt.

   The list of Internet-Draft Shadow Directories can be accessed at
   http://www.ietf.org/shadow.html.

   This Internet-Draft will expire on May 1, 2004.

Copyright Notice

   Copyright (C) The Internet Society (2003).  All Rights Reserved.

Abstract

   This document describes new key exchange algorithms based on Elliptic
   Curve Cryptography (ECC) for the TLS (Transport Layer Security)
   protocol.  In particular, it specifies the use of Elliptic Curve
   Diffie-Hellman (ECDH) key agreement in a TLS handshake and the use of



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   Elliptic Curve Digital Signature Algorithm (ECDSA) as a new
   authentication mechanism.

   The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT",
   "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this
   document are to be interpreted as described in RFC 2119 [1].

   Please send comments on this document to the TLS mailing list.

Table of Contents

   1.   Introduction . . . . . . . . . . . . . . . . . . . . . . . .   3
   2.   Key Exchange Algorithms  . . . . . . . . . . . . . . . . . .   5
   2.1  ECDH_ECDSA . . . . . . . . . . . . . . . . . . . . . . . . .   6
   2.2  ECDHE_ECDSA  . . . . . . . . . . . . . . . . . . . . . . . .   7
   2.3  ECDH_RSA . . . . . . . . . . . . . . . . . . . . . . . . . .   7
   2.4  ECDHE_RSA  . . . . . . . . . . . . . . . . . . . . . . . . .   7
   2.5  ECDH_anon  . . . . . . . . . . . . . . . . . . . . . . . . .   7
   3.   Client Authentication  . . . . . . . . . . . . . . . . . . .   9
   3.1  ECDSA_sign . . . . . . . . . . . . . . . . . . . . . . . . .   9
   3.2  ECDSA_fixed_ECDH . . . . . . . . . . . . . . . . . . . . . .  10
   3.3  RSA_fixed_ECDH . . . . . . . . . . . . . . . . . . . . . . .  10
   4.   TLS Extensions for ECC . . . . . . . . . . . . . . . . . . .  11
   5.   Data Structures and Computations . . . . . . . . . . . . . .  12
   5.1  Client Hello Extensions  . . . . . . . . . . . . . . . . . .  12
   5.2  Server Hello Extensions  . . . . . . . . . . . . . . . . . .  14
   5.3  Server Certificate . . . . . . . . . . . . . . . . . . . . .  15
   5.4  Server Key Exchange  . . . . . . . . . . . . . . . . . . . .  16
   5.5  Certificate Request  . . . . . . . . . . . . . . . . . . . .  20
   5.6  Client Certificate . . . . . . . . . . . . . . . . . . . . .  21
   5.7  Client Key Exchange  . . . . . . . . . . . . . . . . . . . .  22
   5.8  Certificate Verify . . . . . . . . . . . . . . . . . . . . .  24
   5.9  Elliptic Curve Certificates  . . . . . . . . . . . . . . . .  25
   5.10 ECDH, ECDSA and RSA Computations . . . . . . . . . . . . . .  25
   6.   Cipher Suites  . . . . . . . . . . . . . . . . . . . . . . .  27
   7.   Security Considerations  . . . . . . . . . . . . . . . . . .  29
   8.   Intellectual Property Rights . . . . . . . . . . . . . . . .  30
   9.   Acknowledgments  . . . . . . . . . . . . . . . . . . . . . .  31
        Normative References . . . . . . . . . . . . . . . . . . . .  32
        Informative References . . . . . . . . . . . . . . . . . . .  33
        Authors' Addresses . . . . . . . . . . . . . . . . . . . . .  33
        Full Copyright Statement . . . . . . . . . . . . . . . . . .  35









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1. Introduction

   Elliptic Curve Cryptography (ECC) is emerging as an attractive
   public-key cryptosystem for mobile/wireless environments.  Compared
   to currently prevalent cryptosystems such as RSA, ECC offers
   equivalent security with smaller key sizes.  This is illustrated in
   the following table, based on [12], which gives approximate
   comparable key sizes for symmetric- and asymmetric-key cryptosystems
   based on the best-known algorithms for attacking them.

                   Symmetric    |  ECC    |  DH/DSA/RSA
                   -------------+---------+------------
                      80        |  163    |  1024
                     112        |  233    |  2048
                     128        |  283    |  3072
                     192        |  409    |  7680
                     256        |  571    |  15360

                  Table 1: Comparable key sizes (in bits)


   Smaller key sizes result in power, bandwidth and computational
   savings that make ECC especially attractive for constrained
   environments.

   This document describes additions to TLS to support ECC.  In
   particular, it defines

   o  the use of the Elliptic Curve Diffie-Hellman (ECDH) key agreement
      scheme with long-term or ephemeral keys to establish the TLS
      premaster secret, and

   o  the use of fixed-ECDH certificates and ECDSA for authentication of
      TLS peers.

   The remainder of this document is organized as follows.  Section 2
   provides an overview of ECC-based key exchange algorithms for TLS.
   Section 3 describes the use of ECC certificates for client
   authentication.  TLS extensions that allow a client to negotiate the
   use of specific curves and point formats are presented in Section 4.
   Section 5 specifies various data structures needed for an ECC-based
   handshake, their encoding in TLS messages and the processing of those
   messages.  Section 6 defines new ECC-based cipher suites and
   identifies a small subset of these as recommended for all
   implementations of this specification.  Section 7, Section 8 and
   Section 9 mention security considerations, intellectual property
   rights, and acknowledgments, respectively.  This is followed by a
   list of references cited in this document and the authors' contact



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   information.

   Implementation of this specification requires familiarity with TLS
   [2], TLS extensions [3] and ECC [4][5][6][8] .















































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2. Key Exchange Algorithms

   This document introduces five new ECC-based key exchange algorithms
   for TLS.  All of them use ECDH to compute the TLS premaster secret
   and differ only in the lifetime of ECDH keys (long-term or ephemeral)
   and the mechanism (if any) used to authenticate them.  The derivation
   of the TLS master secret from the premaster secret and the subsequent
   generation of bulk encryption/MAC keys and initialization vectors is
   independent of the key exchange algorithm and not impacted by the
   introduction of ECC.

    The table below summarizes the new key exchange algorithms which
   mimic DH_DSS, DH_RSA, DHE_DSS, DHE_RSA and DH_anon (see [2]),
   respectively.

          Key
          Exchange
          Algorithm           Description
          ---------           -----------

          ECDH_ECDSA          Fixed ECDH with ECDSA-signed certificates.

          ECDHE_ECDSA         Ephemeral ECDH with ECDSA signatures.

          ECDH_RSA            Fixed ECDH with RSA-signed certificates.

          ECDHE_RSA           Ephemeral ECDH with RSA signatures.

          ECDH_anon           Anonymous ECDH, no signatures.


                     Table 2: ECC key exchange algorithms


   Note that the anonymous key exchange algorithm does not provide
   authentication of the server or the client.  Like other anonymous TLS
   key exchanges, it is subject to man-in-the-middle attacks.
   Implementations of this algorithm SHOULD provide authentication by
   other means.

   Note that there is no structural difference between ECDH and ECDSA
   keys.  A certificate issuer may use X509.v3 keyUsage and
   extendedKeyUsage extensions to restrict the use of an ECC public key
   to certain computations.  This document refers to an ECC key as ECDH-
   capable if its use in ECDH is permitted.  ECDSA-capable is defined
   similarly.





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              Client                                        Server
              ------                                        ------

              ClientHello          -------->
                                                       ServerHello
                                                      Certificate*
                                                ServerKeyExchange*
                                              CertificateRequest*+
                                   <--------       ServerHelloDone
              Certificate*+
              ClientKeyExchange
              CertificateVerify*+
              [ChangeCipherSpec]
              Finished             -------->
                                                [ChangeCipherSpec]
                                   <--------              Finished

              Application Data     <------->      Application Data

                 Figure 1: Message flow in a full TLS handshake
                   * message is not sent under some conditions
                   + message is not sent unless the client is
                     authenticated


   Figure 1 shows all messages involved in the TLS key establishment
   protocol (aka full handshake).  The addition of ECC has direct impact
   only on the ClientHello, the ServerHello, the server's Certificate
   message, the ServerKeyExchange, the ClientKeyExchange, the
   CertificateRequest, the client's Certificate message, and the
   CertificateVerify.  Next, we describe each ECC key exchange algorithm
   in greater detail in terms of the content and processing of these
   messages.  For ease of exposition, we defer discussion of client
   authentication and associated messages (identified with a + in Figure
   1) until Section 3 and of the optional ECC-specific extensions (which
   impact the Hello messages) until Section 4.

2.1 ECDH_ECDSA

   In ECDH_ECDSA, the server's certificate MUST contain an ECDH-capable
   public key and be signed with ECDSA.

   A ServerKeyExchange MUST NOT be sent (the server's certificate
   contains all the necessary keying information required by the client
   to arrive at the premaster secret).

   The client MUST generate an ECDH key pair on the same curve as the
   server's long-term public key and send its public key in the



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   ClientKeyExchange message (except when using client authentication
   algorithm ECDSA_fixed_ECDH or RSA_fixed_ECDH, in which case the
   modifications from section Section 3.2 or Section 3.3 apply).

   Both client and server MUST perform an ECDH operation and use the
   resultant shared secret as the premaster secret.  All ECDH
   calculations are performed as specified in Section 5.10

2.2 ECDHE_ECDSA

   In ECDHE_ECDSA, the server's certificate MUST contain an ECDSA-
   capable public key and be signed with ECDSA.

   The server MUST send its ephemeral ECDH public key and a
   specification of the corresponding curve in the ServerKeyExchange
   message.  These parameters MUST be signed with ECDSA using the
   private key corresponding to the public key in the server's
   Certificate.

   The client MUST generate an ECDH key pair on the same curve as the
   server's ephemeral ECDH key and send its public key in the
   ClientKeyExchange message.

   Both client and server MUST perform an ECDH operation (Section 5.10)
   and use the resultant shared secret as the premaster secret.

2.3 ECDH_RSA

   This key exchange algorithm is the same as ECDH_ECDSA except the
   server's certificate MUST be signed with RSA rather than ECDSA.

2.4 ECDHE_RSA

   This key exchange algorithm is the same as ECDHE_ECDSA except the
   server's certificate MUST contain an RSA public key authorized for
   signing and the signature in the ServerKeyExchange message MUST be
   computed with the corresponding RSA private key.  The server
   certificate MUST be signed with RSA.

2.5 ECDH_anon

   In ECDH_anon, the server's Certificate, the CertificateRequest, the
   client's Certificate, and the CertificateVerify messages MUST NOT be
   sent.

   The server MUST send an ephemeral ECDH public key and a specification
   of the corresponding curve in the ServerKeyExchange message.  These
   parameters MUST NOT be signed.



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   The client MUST generate an ECDH key pair on the same curve as the
   server's ephemeral ECDH key and send its public key in the
   ClientKeyExchange message.

   Both client and server MUST perform an ECDH operation and use the
   resultant shared secret as the premaster secret.  All ECDH
   calculations are performed as specified in Section 5.10












































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3. Client Authentication

   This document defines three new client authentication mechanisms
   named after the type of client certificate involved: ECDSA_sign,
   ECDSA_fixed_ECDH and RSA_fixed_ECDH.  The ECDSA_sign mechanism is
   usable with any of the non-anonymous ECC key exchange algorithms
   described in Section 2 as well as other non-anonymous (non-ECC) key
   exchange algorithms defined in TLS [2].  The ECDSA_fixed_ECDH and
   RSA_fixed_ECDH mechanisms are usable with ECDH_ECDSA and ECDH_RSA.
   Their use with ECDHE_ECDSA and ECDHE_RSA is prohibited because the
   use of a long-term ECDH client key would jeopardize the forward
   secrecy property of these algorithms.

   The server can request ECC-based client authentication by including
   one or more of these certificate types in its CertificateRequest
   message.  The server MUST NOT include any certificate types that are
   prohibited for the negotiated key exchange algorithm.  The client
   must check if it possesses a certificate appropriate for any of the
   methods suggested by the server and is willing to use it for
   authentication.

   If these conditions are not met, the client should send a client
   Certificate message containing no certificates.  In this case, the
   ClientKeyExchange should be sent as described in Section 2 and the
   CertificateVerify should not be sent.  If the server requires client
   authentication, it may respond with a fatal handshake failure alert.

   If the client has an appropriate certificate and is willing to use it
   for authentication, it MUST send that certificate in the client's
   Certificate message (as per Section 5.6) and prove possession of the
   private key corresponding to the certified key.  The process of
   determining an appropriate certificate and proving possession is
   different for each authentication mechanism and described below.

   NOTE: It is permissible for a server to request (and the client to
   send) a client certificate of a different type than the server
   certificate.

3.1 ECDSA_sign

   To use this authentication mechanism, the client MUST possess a
   certificate containing an ECDSA-capable public key and signed with
   ECDSA.

   The client MUST prove possession of the private key corresponding to
   the certified key by including a signature in the CertificateVerify
   message as described in Section 5.8.




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3.2 ECDSA_fixed_ECDH

   To use this authentication mechanism, the client MUST possess a
   certificate containing an ECDH-capable public key and that
   certificate MUST be signed with ECDSA.  Furthermore, the client's
   ECDH key MUST be on the same elliptic curve as the server's long-term
   (certified) ECDH key.

   When using this authentication mechanism, the client MUST send an
   empty ClientKeyExchange as described in Section 5.7 and MUST NOT send
   the CertificateVerify message.  The ClientKeyExchange is empty since
   the client's ECDH public key required by the server to compute the
   premaster secret is available inside the client's certificate.  The
   client's ability to arrive at the same premaster secret as the server
   (demonstrated by a successful exchange of Finished messages) proves
   possession of the private key corresponding to the certified public
   key and the CertificateVerify message is unnecessary.

3.3 RSA_fixed_ECDH

   This authentication mechanism is identical to ECDSA_fixed_ECDH except
   the client's certificate MUST be signed with RSA.





























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4. TLS Extensions for ECC

   Two new TLS extensions --- (i) the Supported Elliptic Curves
   Extension, and (ii) the Supported Point Formats Extension --- allow a
   client to negotiate the use of specific curves and point formats
   (e.g.  compressed v/s uncompressed), respectively.  These extensions
   are especially relevant for constrained clients that may only support
   a limited number of curves or point formats.   They follow the
   general approach outlined in [3].  The client enumerates the curves
   and point formats it supports by including the appropriate extensions
   in its ClientHello message.  By echoing that extension in its
   ServerHello, the server agrees to restrict its key selection or
   encoding to the choices specified by the client.

   A TLS client that proposes ECC cipher suites in its ClientHello
   message SHOULD include these extensions.  Servers implementing ECC
   cipher suites MUST support these extensions and negotiate the use of
   an ECC cipher suite only if they can complete the handshake while
   limiting themselves to the curves and compression techniques
   enumerated by the client.  This eliminates the possibility that a
   negotiated ECC handshake will be subsequently aborted due to a
   client's inability to deal with the server's EC key.

   These extensions MUST NOT be included if the client does not propose
   any ECC cipher suites.  A client that proposes ECC cipher suites may
   choose not to include these extension.  In this case, the server is
   free to choose any one of the elliptic curves or point formats listed
   in Section 5.  That section also describes the structure and
   processing of these extensions in greater detail.






















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5. Data Structures and Computations

   This section specifies the data structures and computations used by
   ECC-based key mechanisms specified in Section 2, Section 3 and
   Section 4.  The presentation language used here is the same as that
   used in TLS [2].  Since this specification extends TLS, these
   descriptions should be merged with those in the TLS specification and
   any others that extend TLS.  This means that enum types may not
   specify all possible values and structures with multiple formats
   chosen with a select() clause may not indicate all possible cases.

5.1 Client Hello Extensions

   When this message is sent:

   The ECC extensions SHOULD be sent along with any ClientHello message
   that proposes ECC cipher suites.

   Meaning of this message:

   These extensions allow a constrained client to enumerate the elliptic
   curves and/or point formats it supports.

   Structure of this message:

   The general structure of TLS extensions is described in [3] and this
   specification adds two new types to ExtensionType.


        enum { ellptic_curves(6), ec_point_formats(7) } ExtensionType;

   elliptic_curves:  Indicates the set of elliptic curves supported by
      the client.  For this extension, the opaque extension_data field
      contains EllipticCurveList.

   ec_point_formats:  Indicates the set of point formats supported by
      the client.  For this extension, the opaque extension_data field
      contains ECPointFormatList.













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        enum {
            sect163k1 (1), sect163r1 (2), sect163r2 (3),
            sect193r1 (4), sect193r2 (5), sect233k1 (6),
            sect233r1 (7), sect239k1 (8), sect283k1 (9),
            sect283r1 (10), sect409k1 (11), sect409r1 (12),
            sect571k1 (13), sect571r1 (14), secp160k1 (15),
            secp160r1 (16), secp160r2 (17), secp192k1 (18),
            secp192r1 (19), secp224k1 (20), secp224r1 (21),
            secp256k1 (22), secp256r1 (23), secp384r1 (24),
            secp521r1 (25), reserved (240..247),
            arbitrary_explicit_prime_curves(253),
            arbitrary_explicit_char2_curves(254),
            (255)
        } NamedCurve;

   sect163k1, etc:  Indicates support of the corresponding named curve
      specified in SEC 2 [10].  Note that many of these curves are also
      recommended in ANSI X9.62 [6], and FIPS 186-2 [8].  Values 240
      through 247 are reserved for private use.  Values 253 and 254
      indicate that the client supports arbitrary prime and
      charactersitic two curves, respectively (the curve parameters must
      be encoded explicitly in ECParameters).


        struct {
            NamedCurve elliptic_curve_list<1..2^16-1>
        } EllipticCurveList;


   As an example, a client that only supports secp192r1 (aka NIST P-192)
   and secp192r1 (aka NIST P-224) would include an elliptic_curves
   extension with the following octets:

        00 06 00 02 13 14

    A client that supports arbitrary explicit binary polynomial curves
   would include an extension with the following octets:

        00 06 00 01 fe


        enum { uncompressed (0), ansiX963_compressed (1), ansiX963_hybrid (2) }
        ECPointFormat;

        struct {
            ECPointFormat ec_point_format_list<1..2^16-1>
        } ECPointFormatList;




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   A client that only supports the uncompressed point format includes an
   extension with the following octets:

        00 07 00 01 00

   A client that prefers the use of the ansiX963_compressed format over
   uncompressed may indicate that preference by including an extension
   with the following octets:

        00 07 00 02 01 00

   Actions of the sender:

   A client that proposes ECC cipher suites in its ClientHello appends
   these extensions (along with any others) enumerating the curves and
   point formats it supports.

   Actions of the receiver:

   A server that receives a ClientHello containing one or both of these
   extensions MUST use the client's enumerated capabilities to guide its
   selection of an appropriate cipher suite.  One of the proposed ECC
   cipher suites must be negotiated only if the server can successfully
   complete the handshake while using the curves and point formats
   supported by the client.

   NOTE: A server participating in an ECDHE-ECDSA key exchange may use
   different curves for (i) the ECDSA key in its certificate, and (ii)
   the ephemeral ECDH key in the ServerKeyExchange message.  The server
   must consider the "elliptic_curves" extension in selecting both of
   these curves.

   If a server does not understand the "elliptic_curves" extension or is
   unable to complete the ECC handshake while restricting itself to the
   enumerated curves, it MUST NOT negotiate the use of an ECC cipher
   suite.  Depending on what other cipher suites are proposed by the
   client and supported by the server, this may result in a fatal
   handshake failure alert due to the lack of common cipher suites.

5.2 Server Hello Extensions

   When this message is sent:

   The ServerHello ECC extensions are sent in response to a Client Hello
   message containing ECC extensions when negotiating an ECC cipher
   suite.

   Meaning of this message:



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   These extensions indicate the server's agreement to use only the
   elliptic curves and point formats supported by the client during the
   ECC-based key exchange.

   Structure of this message:

   The ECC extensions echoed by the server are the same as those in the
   ClientHello except the "extension_data" field is empty.

   For example, a server indicates its acceptance of the client's
   elliptic_curves extension by sending an extension with the following
   octets:

        00 06 00 00

   Actions of the sender:

   A server makes sure that it can complete a proposed ECC key exchange
   mechanism by restricting itself to the curves/point formats supported
   by the client before sending these extensions.

   Actions of the receiver:

   A client that receives a ServerHello with ECC extensions proceeds
   with an ECC key exchange assured that it will be able to handle the
   server's EC key(s).

5.3 Server Certificate

   When this message is sent:

   This message is sent in all non-anonymous ECC-based key exchange
   algorithms.

   Meaning of this message:

   This message is used to authentically convey the server's static
   public key to the client.  The following table shows the server
   certificate type appropriate for each key exchange algorithm.  ECC
   public keys must be encoded in certificates as described in Section
   5.9.

   NOTE: The server's Certificate message is capable of carrying a chain
   of certificates.  The restrictions mentioned in Table 3 apply only to
   the server's certificate (first in the chain).






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          Key Exchange Algorithm  Server Certificate Type
          ----------------------  -----------------------

          ECDH_ECDSA              Certificate must contain an
                                  ECDH-capable public key. It
                                  must be signed with ECDSA.

          ECDHE_ECDSA             Certificate must contain an
                                  ECDSA-capable public key. It
                                  must be signed with ECDSA.

          ECDH_RSA                Certificate must contain an
                                  ECDH-capable public key. It
                                  must be signed with RSA.

          ECDHE_RSA               Certificate must contain an
                                  RSA public key authorized for
                                  use in digital signatures. It
                                  must be signed with RSA.

                    Table 3: Server certificate types


   Structure of this message:

   Identical to the TLS Certificate format.

   Actions of the sender:

   The server constructs an appropriate certificate chain and conveys it
   to the client in the Certificate message.

   Actions of the receiver:

   The client validates the certificate chain, extracts the server's
   public key, and checks that the key type is appropriate for the
   negotiated key exchange algorithm.

5.4 Server Key Exchange

   When this message is sent:

   This message is sent when using the ECDHE_ECDSA, ECDHE_RSA and
   ECDH_anon key exchange algorithms.

   Meaning of this message:

   This message is used to convey the server's ephemeral ECDH public key



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   (and the corresponding elliptic curve domain parameters) to the
   client.

   Structure of this message:

        enum { explicit_prime (1), explicit_char2 (2),
               named_curve (3), (255) } ECCurveType;

   explicit_prime:  Indicates the elliptic curve domain parameters are
      conveyed verbosely, and the underlying finite field is a prime
      field.

   explicit_char2:  Indicates the elliptic curve domain parameters are
      conveyed verbosely, and the underlying finite field is a
      characteristic 2 field.

   named_curve:  Indicates that a named curve is used.  This option
      SHOULD be used when applicable.


        struct {
            opaque a <1..2^8-1>;
            opaque b <1..2^8-1>;
            opaque seed <0..2^8-1>;
        } ECCurve;

   a, b:  These parameters specify the coefficients of the elliptic
      curve.  Each value contains the byte string representation of a
      field element following the conversion routine in Section 4.3.3 of
      ANSI X9.62 [6].

   seed:  This is an optional parameter used to derive the coefficients
      of a randomly generated elliptic curve.


        struct {
            opaque point <1..2^8-1>;
        } ECPoint;

   point:  This is the byte string representation of an elliptic curve
      point following the conversion routine in Section 4.3.6 of ANSI
      X9.62 [6].  Note that this byte string may represent an elliptic
      curve point in compressed or uncompressed form.  Implementations
      of this specification MUST support the uncompressed form and MAY
      support the compressed form.






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        enum { ec_basis_trinomial, ec_basis_pentanomial } ECBasisType;

   ec_basis_trinomial:  Indicates representation of a characteristic two
      field using a trinomial basis.

   ec_basis_pentanomial:  Indicates representation of a characteristic
      two field using a pentanomial basis.


        struct {
            ECCurveType    curve_type;
            select (curve_type) {
                case explicit_prime:
                    opaque      prime_p <1..2^8-1>;
                    ECCurve     curve;
                    ECPoint     base;
                    opaque      order <1..2^8-1>;
                    opaque      cofactor <1..2^8-1>;
                case explicit_char2:
                    uint16      m;
                    ECBasisType basis;
                    select (basis) {
                        case ec_trinomial:
                            opaque  k <1..2^8-1>;
                        case ec_pentanomial:
                            opaque  k1 <1..2^8-1>;
                            opaque  k2 <1..2^8-1>;
                            opaque  k3 <1..2^8-1>;
                    };
                    ECCurve     curve;
                    ECPoint     base;
                    opaque      order <1..2^8-1>;
                    opaque      cofactor <1..2^8-1>;
                case named_curve:
                    NamedCurve namedcurve;
            };
        } ECParameters;

   curve_type:  This identifies the type of the elliptic curve domain
      parameters.

   prime_p:  This is the odd prime defining the field Fp.

   curve:  Specifies the coefficients a and b (and optional seed) of the
      elliptic curve E.

   base:  Specifies the base point G on the elliptic curve.




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   order:  Specifies the order n of the base point.

   cofactor:  Specifies the cofactor h = #E(Fq)/n, where #E(Fq)
      represents the number of points on the elliptic curve E defined
      over the field Fq.

   m:  This is the degree of the characteristic-two field F2^m.

   k:  The exponent k for the trinomial basis representation x^m + x^k
      +1.

   k1, k2, k3:  The exponents for the pentanomial representation x^m +
      x^k3 + x^k2 + x^k1 + 1 (such that k3 > k2 > k1).

   namedcurve:  Specifies a recommended set of elliptic curve domain
      parameters.  All enum values of NamedCurve are allowed except for
      arbitrary_explicit_prime_curves(253) and
      arbitrary_explicit_char2_curves(254).  These two values are only
      allowed in the ClientHello extension.


        struct {
            ECParameters    curve_params;
            ECPoint         public;
        } ServerECDHParams;

   curve_params:  Specifies the elliptic curve domain parameters
      associated with the ECDH public key.

   public:  The ephemeral ECDH public key.

   The ServerKeyExchange message is extended as follows.

        enum { ec_diffie_hellman } KeyExchangeAlgorithm;

   ec_diffie_hellman:  Indicates the ServerKeyExchange message contains
      an ECDH public key.


        select (KeyExchangeAlgorithm) {
            case ec_diffie_hellman:
                ServerECDHParams    params;
                Signature           signed_params;
        } ServerKeyExchange;

   params:  Specifies the ECDH public key and associated domain
      parameters.




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   signed_params:  A hash of the params, with the signature appropriate
      to that hash applied.  The private key corresponding to the
      certified public key in the server's Certificate message is used
      for signing.


          enum { ecdsa } SignatureAlgorithm;


          select (SignatureAlgorithm) {
              case ecdsa:
                  digitally-signed struct {
                      opaque sha_hash[sha_size];
                  };
          } Signature;

   NOTE: SignatureAlgorithm is 'rsa' for the ECDHE_RSA key exchange
   algorithm and 'anonymous' for ECDH_anon.  These cases are defined in
   TLS [2].  SignatureAlgorithm is 'ecdsa' for ECDHE_ECDSA.  ECDSA
   signatures are generated and verified as described in Section 5.10.
   As per ANSI X9.62, an ECDSA signature consists of a pair of integers
   r and s.  These integers are both converted into byte strings of the
   same length as the curve order n using the conversion routine
   specified in Section 4.3.1 of [6].  The two byte strings are
   concatenated, and the result is placed in the signature field.

   Actions of the sender:

   The server selects elliptic curve domain parameters and an ephemeral
   ECDH public key corresponding to these parameters according to the
   ECKAS-DH1 scheme from IEEE 1363 [5].  It conveys this information to
   the client in the ServerKeyExchange message using the format defined
   above.

   Actions of the recipient:

   The client verifies the signature (when present) and retrieves the
   server's elliptic curve domain parameters and ephemeral ECDH public
   key from the ServerKeyExchange message.

5.5 Certificate Request

   When this message is sent:

   This message is sent when requesting client authentication.

   Meaning of this message:




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   The server uses this message to suggest acceptable client
   authentication methods.

   Structure of this message:

   The TLS CertificateRequest message is extended as follows.

        enum {
            ecdsa_sign(?), rsa_fixed_ecdh(?),
            ecdsa_fixed_ecdh(?), (255)
        } ClientCertificateType;

   ecdsa_sign, etc Indicates that the server would like to use the
      corresponding client authentication method specified in Section 3.

      EDITOR: The values used for ecdsa_sign, rsa_fixed_ecdh, and
      ecdsa_fixed_ecdh have been left as ?.  These values will be
      assigned when this draft progresses to RFC.  Earlier versions of
      this draft used the values 5, 6, and 7 - however these values have
      been removed since they are used differently by SSL 3.0 [13] and
      their use by TLS is being deprecated.

   Actions of the sender:

   The server decides which client authentication methods it would like
   to use, and conveys this information to the client using the format
   defined above.

   Actions of the receiver:

   The client determines whether it has an appropriate certificate for
   use with any of the requested methods, and decides whether or not to
   proceed with client authentication.

5.6 Client Certificate

   When this message is sent:

   This message is sent in response to a CertificateRequest when a
   client has a suitable certificate.

   Meaning of this message:

   This message is used to authentically convey the client's static
   public key to the server.  The following table summarizes what client
   certificate types are appropriate for the ECC-based client
   authentication mechanisms described in Section 3.  ECC public keys
   must be encoded in certificates as described in Section 5.9.



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   NOTE: The client's Certificate message is capable of carrying a chain
   of certificates.  The restrictions mentioned in Table 4 apply only to
   the client's certificate (first in the chain).


          Client
          Authentication Method   Client Certificate Type
          ---------------------   -----------------------

          ECDSA_sign              Certificate must contain an
                                  ECDSA-capable public key and
                                  be signed with ECDSA.

          ECDSA_fixed_ECDH        Certificate must contain an
                                  ECDH-capable public key on the
                                  same elliptic curve as the server's
                                  long-term ECDH key. This certificate
                                  must be signed with ECDSA.

          RSA_fixed_ECDH          Certificate must contain an
                                  ECDH-capable public key on the
                                  same elliptic curve as the server's
                                  long-term ECDH key. This certificate
                                  must be signed with RSA.

                     Table 4: Client certificate types


   Structure of this message:

   Identical to the TLS client Certificate format.

   Actions of the sender:

   The client constructs an appropriate certificate chain, and conveys
   it to the server in the Certificate message.

   Actions of the receiver:

   The TLS server validates the certificate chain, extracts the client's
   public key, and checks that the key type is appropriate for the
   client authentication method.

5.7 Client Key Exchange

   When this message is sent:

   This message is sent in all key exchange algorithms.  If client



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   authentication with ECDSA_fixed_ECDH or RSA_fixed_ECDH is used, this
   message is empty.  Otherwise, it contains the client's ephemeral ECDH
   public key.

   Meaning of the message:

   This message is used to convey ephemeral data relating to the key
   exchange belonging to the client (such as its ephemeral ECDH public
   key).

   Structure of this message:

   The TLS ClientKeyExchange message is extended as follows.

        enum { yes, no } EphemeralPublicKey;

   yes, no:  Indicates whether or not the client is providing an
      ephemeral ECDH public key.  (In ECC ciphersuites, this is "yes"
      except when the client uses the ECDSA_fixed_ECDH or RSA_fixed_ECDH
      client authentication mechanism.)


        struct {
            select (EphemeralPublicKey) {
                case yes: ECPoint  ecdh_Yc;
                case no:  struct { };
            } ecdh_public;
        } ClientECDiffieHellmanPublic;

   ecdh_Yc:  Contains the client's ephemeral ECDH public key.


        struct {
            select (KeyExchangeAlgorithm) {
                case ec_diffie_hellman: ClientECDiffieHellmanPublic;
            } exchange_keys;
        } ClientKeyExchange;

   Actions of the sender:

   The client selects an ephemeral ECDH public key corresponding to the
   parameters it received from the server according to the ECKAS-DH1
   scheme from IEEE 1363 [5].  It conveys this information to the client
   in the ClientKeyExchange message using the format defined above.

   Actions of the recipient:

   The server retrieves the client's ephemeral ECDH public key from the



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   ClientKeyExchange message and checks that it is on the same elliptic
   curve as the server's ECDH key.

5.8 Certificate Verify

   When this message is sent:

   This message is sent when the client sends a client certificate
   containing a public key usable for digital signatures, e.g.  when the
   client is authenticated using the ECDSA_sign mechanism.

   Meaning of the message:

   This message contains a signature that proves possession of the
   private key corresponding to the public key in the client's
   Certificate message.

   Structure of this message:

   The TLS CertificateVerify message is extended as follows.

        enum { ecdsa } SignatureAlgorithm;

        select (SignatureAlgorithm) {
            case ecdsa:
                digitally-signed struct {
                    opaque sha_hash[sha_size];
                };
        } Signature;

   For the ecdsa case, the signature field in the CertificateVerify
   message contains an ECDSA signature computed over handshake messages
   exchanged so far.  ECDSA signatures are computed as described in
   Section 5.10.  As per ANSI X9.62, an ECDSA signature consists of a
   pair of integers r and s.  These integers are both converted into
   byte strings of the same length as the curve order n using the
   conversion routine specified in Section 4.3.1 of [6].  The two byte
   strings are concatenated, and the result is placed in the signature
   field.

   Actions of the sender:

   The client computes its signature over all handshake messages sent or
   received starting at client hello up to but not including this
   message.  It uses the private key corresponding to its certified
   public key to compute the signature which is conveyed in the format
   defined above.




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   Actions of the receiver:

   The server extracts the client's signature from the CertificateVerify
   message, and verifies the signature using the public key it received
   in the client's Certificate message.

5.9 Elliptic Curve Certificates

   X509 certificates containing ECC public keys or signed using ECDSA
   MUST comply with [11].  Clients SHOULD use the elliptic curve domain
   parameters recommended in ANSI X9.62 [6], FIPS 186-2 [8], and SEC 2
   [10].

5.10 ECDH, ECDSA and RSA Computations

   All ECDH calculations (including parameter and key generation as well
   as the shared secret calculation) MUST be performed according to [5]
   using

   o  the ECKAS-DH1 scheme with the ECSVDP-DH secret value derivation
      primitive, the KDF1 key derivation function using SHA-1 [7], and
      null key derivation parameters "P" for elliptic curve parameters
      where field elements are represented as octet strings of length 24
      or less (using the IEEE 1363 FE2OSP); in this case, the premaster
      secret is the output of the ECKAS-DH1 scheme, i.e.  the 20-byte
      SHA-1 output from the KDF.

   o  the ECKAS-DH1 scheme with the identity map as key derivation
      function for elliptic curve parameters where field elements are
      represented as octet strings of length more than 24; in this case,
      the premaster secret is the x-coordinate of the ECDH shared secret
      elliptic curve point, i.e.  the octet string Z in IEEE 1363
      terminology.

   Note that a new extension may be introduced in the future to allow
   the use of a different KDF during computation of the premaster
   secret.  In this event, the new KDF would be used in place of the
   process detailed above.  This may be desirable, for example, to
   support compatibility with the planned NIST key agreement standard.

   All ECDSA computations MUST be performed according to ANSI X9.62 [6]
   or its successors.  Data to be signed/verified is hashed and the
   result run directly through the ECDSA algorithm with no additional
   hashing.  The default hash function is SHA-1 [7] and sha_size (see
   Section 5.4 and Section 5.8) is 20.  However, an alternative hash
   function, such as one of the new SHA hash functions specified in FIPS
   180-2 [7], may be used instead if the certificate containing the EC
   public key explicitly requires use of another hash function.



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   All RSA signatures must be generated and verified according to PKCS#1
   [9].

















































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6. Cipher Suites

   The table below defines new ECC cipher suites that use the key
   exchange algorithms specified in Section 2.

   EDITOR: Most of the cipher suites below have been left as ??.  The
   values 47-4C correspond to cipher suites which are known to have been
   implemented and are therefore proposed here.  The final determination
   of cipher suite numbers will occur when this draft progresses to RFC.
   Implementers using the values 47-4C should therefore be wary that
   these values may change.

     CipherSuite TLS_ECDH_ECDSA_WITH_NULL_SHA           = { 0x00, 0x47 }
     CipherSuite TLS_ECDH_ECDSA_WITH_RC4_128_SHA        = { 0x00, 0x48 }
     CipherSuite TLS_ECDH_ECDSA_WITH_DES_CBC_SHA        = { 0x00, 0x49 }
     CipherSuite TLS_ECDH_ECDSA_WITH_3DES_EDE_CBC_SHA   = { 0x00, 0x4A }
     CipherSuite TLS_ECDH_ECDSA_WITH_AES_128_CBC_SHA    = { 0x00, 0x4B }
     CipherSuite TLS_ECDH_ECDSA_WITH_AES_256_CBC_SHA    = { 0x00, 0x4C }

     CipherSuite TLS_ECDHE_ECDSA_WITH_NULL_SHA          = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_ECDSA_WITH_RC4_128_SHA       = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_ECDSA_WITH_3DES_EDE_CBC_SHA  = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_ECDSA_WITH_AES_128_CBC_SHA   = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_ECDSA_WITH_AES_256_CBC_SHA   = { 0x00, 0x?? }

     CipherSuite TLS_ECDH_RSA_WITH_NULL_SHA             = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_RSA_WITH_RC4_128_SHA          = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_RSA_WITH_3DES_EDE_CBC_SHA     = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_RSA_WITH_AES_128_CBC_SHA      = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_RSA_WITH_AES_256_CBC_SHA      = { 0x00, 0x?? }

     CipherSuite TLS_ECDHE_RSA_WITH_NULL_SHA            = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_RSA_WITH_RC4_128_SHA         = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_RSA_WITH_3DES_EDE_CBC_SHA    = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_RSA_WITH_AES_128_CBC_SHA     = { 0x00, 0x?? }
     CipherSuite TLS_ECDHE_RSA_WITH_AES_256_CBC_SHA     = { 0x00, 0x?? }

     CipherSuite TLS_ECDH_anon_NULL_WITH_SHA            = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_anon_WITH_RC4_128_SHA         = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_anon_WITH_3DES_EDE_CBC_SHA    = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_anon_WITH_AES_128_CBC_SHA     = { 0x00, 0x?? }
     CipherSuite TLS_ECDH_anon_WITH_AES_256_CBC_SHA     = { 0x00, 0x?? }

                        Table 5: TLS ECC cipher suites


   The key exchange method, cipher, and hash algorithm for each of these
   cipher suites are easily determined by examining the name.  Ciphers



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   other than AES ciphers, and hash algorithms are defined in [2].  AES
   ciphers are defined in [14].

   Server implementations SHOULD support all of the following cipher
   suites, and client implementations SHOULD support at least one of
   them: TLS_ECDH_ECDSA_WITH_3DES_EDE_CBC_SHA,
   TLS_ECDH_ECDSA_WITH_AES_128_CBC_SHA,
   TLS_ECDHE_RSA_WITH_3DES_EDE_CBC_SHA, and
   TLS_ECDHE_RSA_WITH_AES_128_CBC_SHA.










































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7. Security Considerations

   This document is based on [2], [5], [6] and [14].  The appropriate
   security considerations of those documents apply.

   For ECDH (Section 5.10), this document specifies two different ways
   to compute the premaster secret.  The choice of the method is
   determined by the elliptic curve.  Earlier versions of this
   specification used the KDF1 key derivation function with SHA-1 in all
   cases; the current version keeps this key derivation function only
   for curves where field elements are represented as octet strings of
   length 24 or less (i.e.  up to 192 bits), but omits it for larger
   curves.

   Rationale: Using KDF1 with SHA-1 limits the security to at most 160
   bits, independently of the elliptic curve used for ECDH.  For large
   curves, this would result in worse security than expected.  Using a
   specific key derivation function for ECDH is not really necessary as
   TLS always uses its PRF to derive the master secret from the
   premaster secret.  For large curves, the current specification
   handles ECDH like the basic TLS specification [14] handles standard
   DH.  For smaller curves where the extra KDF1 step does not weaken
   security, the current specification keeps the KDF1 step to obtain
   compatibility with existing implementations of earlier versions of
   this specification.  Note that the threshold for switching between
   the two ECDH calculation methods is necessarily somewhat arbitrary;
   192-bit ECC corresponds to approximately 96 bits of security in the
   light of square root attacks, so the 160 bits provided by SHA-1 are
   comfortable at this limit.






















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8. Intellectual Property Rights

   The IETF has been notified of intellectual property rights claimed in
   regard to the specification contained in this document.  For more
   information, consult the online list of claimed rights (http://
   www.ietf.org/ipr.html).

   The IETF takes no position regarding the validity or scope of any
   intellectual property or other rights that might be claimed to
   pertain to the implementation or use of the technology described in
   this document or the extent to which any license under such rights
   might or might not be available; neither does it represent that it
   has made any effort to identify any such rights.  Information on the
   IETF's procedures with respect to rights in standards-track and
   standards-related documentation can be found in [15].  Copies of
   claims of rights made available for publication and any assurances of
   licenses to be made available, or the result of an attempt made to
   obtain a general license or permission for the use of such
   proprietary rights by implementers or users of this specification can
   be obtained from the IETF Secretariat.































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9. Acknowledgments

   The authors wish to thank Bill Anderson and Tim Dierks.
















































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Normative References

   [1]   Bradner, S., "Key Words for Use in RFCs to Indicate Requirement
         Levels", RFC 2119, March 1997.

   [2]   Dierks, T. and C. Allen, "The TLS Protocol Version 1.0", RFC
         2246, January 1999.

   [3]   Blake-Wilson, S., Nystrom, M., Hopwood, D., Mikkelsen, J. and
         T. Wright, "Transport Layer Security (TLS) Extensions", RFC
         3546, June 2003.

   [4]   SECG, "Elliptic Curve Cryptography", SEC 1, 2000, <http://
         www.secg.org/>.

   [5]   IEEE, "Standard Specifications for Public Key Cryptography",
         IEEE 1363, 2000.

   [6]   ANSI, "Public Key Cryptography For The Financial Services
         Industry: The Elliptic Curve Digital Signature Algorithm
         (ECDSA)", ANSI X9.62, 1998.

   [7]   NIST, "Secure Hash Standard", FIPS 180-2, 2002.

   [8]   NIST, "Digital Signature Standard", FIPS 186-2, 2000.

   [9]   RSA Laboratories, "PKCS#1: RSA Encryption Standard version
         1.5", PKCS 1, November 1993.

   [10]  SECG, "Recommended Elliptic Curve Domain Parameters", SEC 2,
         2000, <http://www.secg.org/>.

   [11]  Polk, T., Housley, R. and L. Bassham, "Algorithms and
         Identifiers for the Internet X.509 Public Key Infrastructure
         Certificate and Certificate Revocation List (CRL) Profile", RFC
         3279, April 2002.















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Informative References

   [12]  Lenstra, A. and E. Verheul, "Selecting Cryptographic Key
         Sizes", Journal of Cryptology 14 (2001) 255-293, <http://
         www.cryptosavvy.com/>.

   [13]  Freier, A., Karlton, P. and P. Kocher, "The SSL Protocol
         Version 3.0", November 1996, <http://wp.netscape.com/eng/ssl3/
         draft302.txt>.

   [14]  Chown, P., "Advanced Encryption Standard (AES) Ciphersuites for
         Transport Layer Security (TLS)", RFC 3268, June 2002.

   [15]  Hovey, R. and S. Bradner, "The Organizations Involved in the
         IETF Standards Process", RFC 2028, BCP 11, October 1996.


Authors' Addresses

   Vipul Gupta
   Sun Microsystems Laboratories
   2600 Casey Avenue
   MS UMTV29-235
   Mountain View, CA  94303
   USA

   Phone: +1 650 336 1681
   EMail: vipul.gupta@sun.com


   Simon Blake-Wilson
   Basic Commerce & Industries, Inc.
   96 Spandia Ave
   Unit 606
   Toronto, ON  M6G 2T6
   Canada

   Phone: +1 416 214 5961
   EMail: sblakewilson@bcisse.com


   Bodo Moeller
   TBD

   EMail: moeller@cdc.informatik.tu-darmstadt.de






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   Chris Hawk
   Independent Consultant

   EMail: chris@socialeng.com


   Nelson Bolyard
   Netscape

   EMail: misterssl@aol.com









































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Full Copyright Statement

   Copyright (C) The Internet Society (2003).  All Rights Reserved.

   This document and translations of it may be copied and furnished to
   others, and derivative works that comment on or otherwise explain it
   or assist in its implementation may be prepared, copied, published
   and distributed, in whole or in part, without restriction of any
   kind, provided that the above copyright notice and this paragraph are
   included on all such copies and derivative works.  However, this
   document itself may not be modified in any way, such as by removing
   the copyright notice or references to the Internet Society or other
   Internet organizations, except as needed for the purpose of
   developing Internet standards in which case the procedures for
   copyrights defined in the Internet Standards process must be
   followed, or as required to translate it into languages other than
   English.

   The limited permissions granted above are perpetual and will not be
   revoked by the Internet Society or its successors or assigns.

   This document and the information contained herein is provided on an
   "AS IS" basis and THE INTERNET SOCIETY AND THE INTERNET ENGINEERING
   TASK FORCE DISCLAIMS ALL WARRANTIES, EXPRESS OR IMPLIED, INCLUDING
   BUT NOT LIMITED TO ANY WARRANTY THAT THE USE OF THE INFORMATION
   HEREIN WILL NOT INFRINGE ANY RIGHTS OR ANY IMPLIED WARRANTIES OF
   MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.

Acknowledgement

   Funding for the RFC Editor function is currently provided by the
   Internet Society.



















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