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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.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+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
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+
+
+
+
+Harkins Informational [Page 12]
+