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+Internet Engineering Task Force (IETF)                   D. Harkins, Ed.
+Request for Comments: 6932                                Aruba Networks
+Category: Informational                                         May 2013
+ISSN: 2070-1721
+
+
+                       Brainpool Elliptic Curves
+     for the Internet Key Exchange (IKE) Group Description Registry
+
+Abstract
+
+   This memo allocates code points for four new elliptic curve domain
+   parameter sets over finite prime fields into a registry that was
+   established by the Internet Key Exchange (IKE) but is used by other
+   protocols.
+
+Status of This Memo
+
+   This document is not an Internet Standards Track specification; it is
+   published for informational purposes.
+
+   This document is a product of the Internet Engineering Task Force
+   (IETF).  It represents the consensus of the IETF community.  It has
+   received public review and has been approved for publication by the
+   Internet Engineering Steering Group (IESG).  Not all documents
+   approved by the IESG are a candidate for any level of Internet
+   Standard; see Section 2 of RFC 5741.
+
+   Information about the current status of this document, any errata,
+   and how to provide feedback on it may be obtained at
+   http://www.rfc-editor.org/info/rfc6932.
+
+Copyright Notice
+
+   Copyright (c) 2013 IETF Trust and the persons identified as the
+   document authors.  All rights reserved.
+
+   This document is subject to BCP 78 and the IETF Trust's Legal
+   Provisions Relating to IETF Documents
+   (http://trustee.ietf.org/license-info) in effect on the date of
+   publication of this document.  Please review these documents
+   carefully, as they describe your rights and restrictions with respect
+   to this document.  Code Components extracted from this document must
+   include Simplified BSD License text as described in Section 4.e of
+   the Trust Legal Provisions and are provided without warranty as
+   described in the Simplified BSD License.
+
+
+
+
+
+Harkins                       Informational                     [Page 1]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+Table of Contents
+
+   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   2
+     1.1.  Requirements Language . . . . . . . . . . . . . . . . . .   2
+   2.  Brainpool Elliptic Curves . . . . . . . . . . . . . . . . . .   2
+     2.1.  Domain Parameters for the 224-Bit Curve . . . . . . . . .   4
+     2.2.  Domain Parameters for the 256-Bit Curve . . . . . . . . .   4
+     2.3.  Domain Parameters for the 384-Bit Curve . . . . . . . . .   5
+     2.4.  Domain Parameters for the 512-Bit Curve . . . . . . . . .   5
+   3.  IANA Considerations . . . . . . . . . . . . . . . . . . . . .   6
+   4.  Security Considerations . . . . . . . . . . . . . . . . . . .   6
+   5.  Use of Brainpool Curves . . . . . . . . . . . . . . . . . . .   7
+   6.  References  . . . . . . . . . . . . . . . . . . . . . . . . .   7
+     6.1.  Normative References  . . . . . . . . . . . . . . . . . .   7
+     6.2.  Informative References  . . . . . . . . . . . . . . . . .   7
+   Appendix A.  Test Data  . . . . . . . . . . . . . . . . . . . . .   9
+     A.1.  Test Vector for brainpoolP224r1 . . . . . . . . . . . . .   9
+     A.2.  Test Vector for brainpoolP256r1 . . . . . . . . . . . . .  10
+     A.3.  Test Vector for brainpoolP384r1 . . . . . . . . . . . . .  10
+     A.4.  Test Vector for brainpoolP512r1 . . . . . . . . . . . . .  11
+
+1.  Introduction
+
+   [RFC5639] defines new elliptic curve domain parameters for curves
+   over a number of different prime fields, each with a "twisted"
+   variant.  These curves have a number of interesting security
+   properties (as described in [EBP]) that make them desirable to use.
+
+   IANA maintains a registry for [RFC2409] to map complete domain
+   parameter sets into easily referenced numbers.  While [RFC2409] is
+   deprecated, other protocols, for example [IEEE802.11] and [RFC5931],
+   refer to this registry for its convenience.  Therefore, this memo
+   instructs IANA to allocate new code points for the Brainpool curves
+   defined in [RFC5639] to the registry established by [RFC2409] for use
+   by other protocols.
+
+1.1.  Requirements Language
+
+   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 [RFC2119].
+
+2.  Brainpool Elliptic Curves
+
+   [RFC5639] defines several elliptic curves over finite prime fields
+   (ECP, in the parlance of [RFC2409]).  The domain parameter sets for
+   each of the elliptic curves defined in [RFC5639] are copied here for
+   convenient reference.
+
+
+
+Harkins                       Informational                     [Page 2]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   The equation for all elliptic curves defined here is:
+
+      y^2 = x^3 + ax + b (mod p)
+
+   Domain parameter sets consist of:
+
+   o  p: the prime
+
+   o  a, b: parameters to the equation of the curve
+
+   o  x, y: the coordinates of the generator for the group, G
+
+   o  q: the order of the group formed by the generator G
+
+   o  h: the co-factor
+
+   o  z: the "twist" (for conversion into twisted curves)
+
+   [RFC5639] defines elliptic curves over seven (7) prime fields with a
+   random and a "twisted" variety for each, for a total of fourteen (14)
+   distinct curves.  However, some of those curves are not particularly
+   useful: the 160-bit curves provide only 80 bits of strength and that
+   is too small to be of use in current cryptographic applications, and
+   there is no standard hash function to use with the 196-bit and
+   320-bit curves -- it would make more sense to use the 224-bit and
+   384-bit curves, respectively, instead.  For this reason, the curves
+   defined over 160-bit, 192-bit, and 320-bit primes are not being added
+   to the registry created by [RFC2409].
+
+   The twisted curves in [RFC5639] are isomorphic to the random curves
+   of the same length.  The curve parameter "a" for the twisted curves
+   equals -3 mod p, and there are certain arithmetical advantages to
+   using such curves.  It is possible to convert a point from a random
+   curve (x,y) into a point on the twisted curve (x', y') and back again
+   using this equation:
+
+      (x',y') = (x*z^2, y*z^3)
+
+   This would allow an implementation to internally use the twisted
+   version of the curve, taking full advantage of the arithmetical
+   advantages, while exchanging points on the random versions of the
+   curve with peers.
+
+   Therefore, the twisted curves are not being added to the registry
+   created by [RFC2409].  Implementations that desire to use the twisted
+   curves internally MUST refer to [RFC5639] for the complete domain
+   parameter sets, only the "twist" is defined here.
+
+
+
+
+Harkins                       Informational                     [Page 3]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+2.1.  Domain Parameters for the 224-Bit Curve
+
+   Curve-ID: brainpoolP224r1
+
+   p = D7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF
+
+   A = 68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43
+
+   B = 2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B
+
+   x = 0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D
+
+   y = 58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD
+
+   q = D7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F
+
+   z = 2DF271E14427A346910CF7A2E6CFA7B3F484E5C2CCE1C8B730E28B3F
+
+   h = 1
+
+2.2.  Domain Parameters for the 256-Bit Curve
+
+   Curve-ID: brainpoolP256r1
+
+   p = A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377
+
+   A = 7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9
+
+   B = 26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6
+
+   x = 8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262
+
+   y = 547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997
+
+   q = A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7
+
+   z = 3E2D4BD9597B58639AE7AA669CAB9837CF5CF20A2C852D10F655668DFC150EF0
+
+   h = 1
+
+
+
+
+
+
+
+
+
+
+
+
+Harkins                       Informational                     [Page 4]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+2.3.  Domain Parameters for the 384-Bit Curve
+
+   Curve-ID: brainpoolP384r1
+
+   p = 8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB711
+       23ACD3A729901D1A71874700133107EC53
+
+   A = 7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F9
+       0F8AA5814A503AD4EB04A8C7DD22CE2826
+
+   B = 04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62
+       D57CB4390295DBC9943AB78696FA504C11
+
+   x = 1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10
+       E8E826E03436D646AAEF87B2E247D4AF1E
+
+   y = 8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129
+       280E4646217791811142820341263C5315
+
+   q = 8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425
+       A7CF3AB6AF6B7FC3103B883202E9046565
+
+   z = 41DFE8DD399331F7166A66076734A89CD0D2BCDB7D068E44E1F378F41ECBAE
+       97D2D63DBC87BCCDDCCC5DA39E8589291C
+
+   h = 1
+
+2.4.  Domain Parameters for the 512-Bit Curve
+
+   Curve-ID: brainpoolP512r1
+
+   p = AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308
+       717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A
+       48F3
+
+   A = 7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863
+       BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC
+       94CA
+
+   B = 3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117
+       A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016
+       F723
+
+   x = 81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D009
+       8EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9
+       F822
+
+
+
+
+
+Harkins                       Informational                     [Page 5]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   y = 7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F81
+       11B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD8
+       0892
+
+   q = AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308
+       70553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA9
+       0069
+
+   z = 12EE58E6764838B69782136F0F2D3BA06E27695716054092E60A80BEDB212B
+       64E585D90BCE13761F85C3F1D2A64E3BE8FEA2220F01EBA5EEB0F35DBD29D9
+       22AB
+
+   h = 1
+
+3.  IANA Considerations
+
+   IANA has assigned four values from the unassigned portion of the
+   "Group Description" component of the [IANA-IKE] registry and updated
+   the registry by appending Table 1 to the registry table.
+
+   +----------+-----------------------+-------------+------------------+
+   |  Value   |   Group Description   | Reference   |       Note       |
+   +----------+-----------------------+-------------+------------------+
+   |    27    | 224-bit Brainpool     | RFC 6932,   | Not for RFC 2409 |
+   |          |     ECP group         | Section 2.1 |                  |
+   |          |                       |             |                  |
+   |    28    | 256-bit Brainpool     | RFC 6932,   | Not for RFC 2409 |
+   |          |     ECP group         | Section 2.2 |                  |
+   |          |                       |             |                  |
+   |    29    | 384-bit Brainpool     | RFC 6932,   | Not for RFC 2409 |
+   |          |     ECP group         | Section 2.3 |                  |
+   |          |                       |             |                  |
+   |    30    | 512-bit Brainpool     | RFC 6932,   | Not for RFC 2409 |
+   |          |     ECP group         | Section 2.4 |                  |
+   +----------+-----------------------+-------------+------------------+
+
+                    Table 1: Group Description Updates
+
+4.  Security Considerations
+
+   [EBP] describes the security properties of the curves referenced
+   here.  The curves support security levels of 112 (Section 2.1), 128
+   (Section 2.2), 192 (Section 2.3), and 256 (Section 2.4).  These
+   security levels assume that when these elliptic curves are used with
+   discrete logarithm cryptography, for example elliptic curve Diffie-
+   Hellman, that the private key used is a uniformly random number in
+   the range [1..(q-1)], where q is the order from the curve's domain
+   parameter set.  In order to achieve system security commensurate with
+
+
+
+Harkins                       Informational                     [Page 6]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   the security level of a particular elliptic curve, it is incumbent
+   upon an implementation to choose key derivation functions, hash
+   functions, pseudo-random functions, and ciphers according to the
+   recommendations from [SP800-57].
+
+5.  Use of Brainpool Curves
+
+   The notes in Table 1 are an administrative prohibition, not a
+   technical one.  The notes are there because, although [RFC2409] has
+   been deprecated, it is still widely used.  There is a desire among
+   some in the IETF to not do anything that would prolong the use of
+   [RFC2409], and the addition of these curves was perceived as doing
+   just that.  The registry could not have been updated without
+   including notes to indicate that these curves are not for use with
+   [RFC2409] and not updating the [RFC2409] registry would have a
+   detrimental affect on the other protocols that use it.
+
+6.  References
+
+6.1.  Normative References
+
+   [IANA-IKE]   IANA, "Internet Key Exchange (IKE) Attributes", Registry
+                Name: Group Description (Value 4),
+                <http://www.iana.org/assignments/ipsec-registry>.
+
+   [RFC2119]    Bradner, S., "Key words for use in RFCs to Indicate
+                Requirement Levels", BCP 14, RFC 2119, March 1997.
+
+   [RFC5639]    Lochter, M. and J. Merkle, "Elliptic Curve Cryptography
+                (ECC) Brainpool Standard Curves and Curve Generation",
+                RFC 5639, March 2010.
+
+6.2.  Informative References
+
+   [EBP]        The Brainpool Workgroup, "ECC Brainpool Standard Curves
+                and Curve Generation", October 2005,
+                <http://www.ecc-brainpool.org/download/
+                Domain-parameters.pdf>.
+
+   [IEEE802.11] IEEE, "Telecommunications and information exchange
+                between systems Local and metropolitan area networks--
+                Part 11: Wireless LAN Medium Access Control (MAC) and
+                Physical Layer (PHY) Specifications", IEEE Std
+                802.11-2012, 2012.
+
+   [RFC2409]    Harkins, D. and D. Carrel, "The Internet Key Exchange
+                (IKE)", RFC 2409, November 1998.
+
+
+
+
+Harkins                       Informational                     [Page 7]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   [RFC5931]    Harkins, D. and G. Zorn, "Extensible Authentication
+                Protocol (EAP) Authentication Using Only a Password",
+                RFC 5931, August 2010.
+
+   [SP800-57]   National Institute of Standards and Technology,
+                "Recommendation for Key Management - Part 1: General
+                (Revised)", NIST Special Publication 800-57, March 2007.
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+
+
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+
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+
+
+
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+
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+
+
+
+Harkins                       Informational                     [Page 8]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+Appendix A.  Test Data
+
+   This section provides some test vectors for example Diffie-Hellman
+   key exchanges using each of the curves defined in Section 2.  The
+   following notation is used in subsequent sections:
+
+   o  dA: the secret key of party A
+
+   o  x_qA: the x-coordinate of the public key of party A
+
+   o  y_qA: the y-coordinate of the public key of party A
+
+   o  dB: the secret key of party B
+
+   o  x_qB: the x-coordinate of the public key of party B
+
+   o  y_qB: the y-coordinate of the public key of party B
+
+   o  x_Z: the x-coordinate of the shared secret that results from
+      completion of the Diffie-Hellman computation
+
+   o  y_Z: the y-coordinate of the shared secret that results from
+      completion of the Diffie-Hellman computation
+
+A.1.  Test Vector for brainpoolP224r1
+
+   dA =
+   7C4B7A2C 8A4BAD1F BB7D79CC 0955DB7C 6A4660CA 64CC4778
+   159B495E
+
+   x_qA =
+   B104A67A 6F6E85E1 4EC1825E 1539E8EC DBBF5849 22367DD8
+   8C6BDCF2
+   y_qA =
+   46D782E7 FDB5F60C D8404301 AC5949C5 8EDB26BC 68BA0769
+   5B750A94
+
+   dB =
+   63976D4A AE6CD0F6 DD18DEFE F55D9656 9D0507C0 3E74D648
+   6FFA28FB
+
+   x_qB =
+   2A97089A 9296147B 71B21A4B 574E1278 245B536F 14D8C2B9
+   D07A874E
+   y_qB =
+   9B900D7C 77A709A7 97276B8C A1BA61BB 95B546FC 29F862E4
+   4D59D25B
+
+
+
+
+Harkins                       Informational                     [Page 9]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   x_Z =
+   312DFD98 783F9FB7 7B970494 5A73BEB6 DCCBE3B6 5D0F967D
+   CAB574EB
+   y_Z =
+   6F800811 D64114B1 C48C621A B3357CF9 3F496E42 38696A2A
+   012B3C98
+
+A.2.  Test Vector for brainpoolP256r1
+
+   dA =
+   041EB8B1 E2BC681B CE8E3996 3B2E9FC4 15B05283 313DD1A8
+   BCC055F1 1AE49699
+
+   x_qA =
+   78028496 B5ECAAB3 C8B6C12E 45DB1E02 C9E4D26B 4113BC4F
+   015F60C5 CCC0D206
+   y_qA =
+   A2AE1762 A3831C1D 20F03F8D 1E3C0C39 AFE6F09B 4D44BBE8
+   0CD10098 7B05F92B
+
+   dB =
+   06F5240E ACDB9837 BC96D482 74C8AA83 4B6C87BA 9CC3EEDD
+   81F99A16 B8D804D3
+
+   x_qB =
+   8E07E219 BA588916 C5B06AA3 0A2F464C 2F2ACFC1 610A3BE2
+   FB240B63 5341F0DB
+   y_qB =
+   148EA1D7 D1E7E54B 9555B6C9 AC90629C 18B63BEE 5D7AA694
+   9EBBF47B 24FDE40D
+
+   x_Z =
+   05E94091 5549E9F6 A4A75693 716E3746 6ABA79B4 BF291987
+   7A16DD2C C2E23708
+   y_Z =
+   6BC23B67 02BC5A01 9438CEEA 107DAAD8 B94232FF BBC350F3
+   B137628F E6FD134C
+
+A.3.  Test Vector for brainpoolP384r1
+
+   dA =
+   014EC075 5B78594B A47FB0A5 6F617304 5B4331E7 4BA1A6F4
+   7322E70D 79D828D9 7E095884 CA72B73F DABD5910 DF0FA76A
+
+
+
+
+
+
+
+
+Harkins                       Informational                    [Page 10]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   x_qA =
+   45CB26E4 384DAF6F B7768853 07B9A38B 7AD1B5C6 92E0C32F
+   01253327 78F3B8D3 F50CA358 099B30DE B5EE69A9 5C058B4E
+   y_qA =
+   8173A1C5 4AFFA7E7 81D0E1E1 D12C0DC2 B74F4DF5 8E4A4E3A
+   F7026C5D 32DC530A 2CD89C85 9BB4B4B7 68497F49 AB8CC859
+
+   dB =
+   6B461CB7 9BD0EA51 9A87D682 8815D8CE 7CD9B3CA A0B5A826
+   2CBCD550 A015C900 95B976F3 52995750 6E1224A8 61711D54
+
+   x_qB =
+   01BF92A9 2EE4BE8D ED1A9111 25C209B0 3F99E316 1CFCC986
+   DC771138 3FC30AF9 CE28CA33 86D59E2C 8D72CE1E 7B4666E8
+   y_qB =
+   3289C4A3 A4FEE035 E39BDB88 5D509D22 4A142FF9 FBCC5CFE
+   5CCBB302 68EE4748 7ED80448 58D31D84 8F7A95C6 35A347AC
+
+   x_Z =
+   04CC4FF3 DCCCB07A F24E0ACC 529955B3 6D7C8077 72B92FCB
+   E48F3AFE 9A2F370A 1F98D3FA 73FD0C07 47C632E1 2F1423EC
+   y_Z =
+   7F465F90 BD69AFB8 F828A214 EB9716D6 6ABC59F1 7AF7C75E
+   E7F1DE22 AB5D0508 5F5A01A9 382D05BF 72D96698 FE3FF64E
+
+A.4.  Test Vector for brainpoolP512r1
+
+   dA =
+   636B6BE0 482A6C1C 41AA7AE7 B245E983 392DB94C ECEA2660
+   A379CFE1 59559E35 75818253 91175FC1 95D28BAC 0CF03A78
+   41A383B9 5C262B98 3782874C CE6FE333
+
+   x_qA =
+   0562E68B 9AF7CBFD 5565C6B1 6883B777 FF11C199 161ECC42
+   7A39D17E C2166499 389571D6 A994977C 56AD8252 658BA8A1
+   B72AE42F 4FB75321 51AFC3EF 0971CCDA
+   y_qA =
+   A7CA2D81 91E21776 A89860AF BC1F582F AA308D55 1C1DC613
+   3AF9F9C3 CAD59998 D7007954 8140B90B 1F311AFB 378AA81F
+   51B275B2 BE6B7DEE 978EFC73 43EA642E
+
+   dB =
+   0AF4E7F6 D52EDD52 907BB8DB AB3992A0 BB696EC1 0DF11892
+   FF205B66 D381ECE7 2314E6A6 EA079CEA 06961DBA 5AE6422E
+   F2E9EE80 3A1F236F B96A1799 B86E5C8B
+
+
+
+
+
+
+Harkins                       Informational                    [Page 11]
+
+RFC 6932          Brainpool ECC for IKE Group Registry          May 2013
+
+
+   x_qB =
+   5A7954E3 2663DFF1 1AE24712 D87419F2 6B708AC2 B92877D6
+   BFEE2BFC 43714D89 BBDB6D24 D807BBD3 AEB7F0C3 25F862E8
+   BADE4F74 636B97EA ACE739E1 1720D323
+   y_qB =
+   96D14621 A9283A1B ED84DE8D D64836B2 C0758B11 441179DC
+   0C54C0D4 9A47C038 07D171DD 544B72CA AEF7B7CE 01C7753E
+   2CAD1A86 1ECA55A7 1954EE1B A35E04BE
+
+   x_Z =
+   1EE8321A 4BBF93B9 CF8921AB 209850EC 9B7066D1 984EF08C
+   2BB72323 6208AC8F 1A483E79 461A00E0 D5F6921C E9D36050
+   2F85C812 BEDEE23A C5B210E5 811B191E
+   y_Z =
+   2632095B 7B936174 B41FD2FA F369B1D1 8DCADEED 7E410A7E
+   251F0831 097C50D0 2CFED026 07B6A2D5 ADB4C000 60085622
+   08631875 B58B54EC DA5A4F9F E9EAABA6
+
+Author's Address
+
+   Dan Harkins (editor)
+   Aruba Networks
+   1322 Crossman avenue
+   Sunnyvale , California   94089
+   United States of America
+
+   Phone: +1 408 227 4500
+   EMail: dharkins@arubanetworks.com
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+Harkins                       Informational                    [Page 12]
+