Brainpool Elliptic Curves for the IKE Group Description Registry
draft-harkins-brainpool-ike-groups-00

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Internet Engineering Task Force                          D. Harkins, Ed.
Internet-Draft                                            Aruba Networks
Intended status: Informational                            August 8, 2012
Expires: February 9, 2013

    Brainpool Elliptic Curves for the IKE Group Description Registry
                 draft-harkins-brainpool-ike-groups-00

Abstract

   This memo allocates code points for fourteen new elliptic curve
   domain parameter sets over finite prime fields into a registry
   established by The Internet Key Exchange (IKE).

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   Copyright (c) 2012 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

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Harkins                 Expires February 9, 2013                [Page 1]
Internet-Draft     Brainpool EC for IKE Group Registry       August 2012

Table of Contents

   1.  Introduction . . . . . . . . . . . . . . . . . . . . . . . . .  3
     1.1.  Requirements Language  . . . . . . . . . . . . . . . . . .  3
   2.  Brainpool Elliptic Curves  . . . . . . . . . . . . . . . . . .  3
     2.1.  Domain Parameters for 160-bit Curves . . . . . . . . . . .  4
       2.1.1.  Curve-ID: brainpoolP160r1  . . . . . . . . . . . . . .  4
       2.1.2.  Twisted Curve-ID: brainpoolP160t1  . . . . . . . . . .  4
     2.2.  Domain Parameters for 192-bit Curves . . . . . . . . . . .  4
       2.2.1.  Curve-ID: brainpoolP192r1  . . . . . . . . . . . . . .  5
       2.2.2.  Twisted Curve-ID: brainpoolP192t1  . . . . . . . . . .  5
     2.3.  Domain Parameters for 224-bit Curves . . . . . . . . . . .  5
       2.3.1.  Curve-ID: brainpoolP224r1  . . . . . . . . . . . . . .  6
       2.3.2.  Twisted Curve-ID: brainpoolP224t1  . . . . . . . . . .  6
     2.4.  Domain Parameters for 256-bit Curves . . . . . . . . . . .  6
       2.4.1.  Curve-ID: brainpoolP256r1  . . . . . . . . . . . . . .  7
       2.4.2.  Twisted Curve-ID: brainpoolP256t1  . . . . . . . . . .  7
     2.5.  Domain Parameters for 320-bit Curves . . . . . . . . . . .  7
       2.5.1.  Curve-ID: brainpoolP320r1  . . . . . . . . . . . . . .  8
       2.5.2.  Twisted Curve-ID: brainpoolP320t1  . . . . . . . . . .  8
     2.6.  Domain Parameters for 384-bit Curves . . . . . . . . . . .  9
       2.6.1.  Curve-ID: brainpoolP384r1  . . . . . . . . . . . . . .  9
       2.6.2.  Twisted Curve-ID: brainpoolP384t1  . . . . . . . . . .  9
     2.7.  Domain Parameters for 512-bit Curves . . . . . . . . . . . 10
       2.7.1.  Curve-ID: brainpoolP512r1  . . . . . . . . . . . . . . 10
       2.7.2.  Twisted Curve-ID: brainpoolP512t1  . . . . . . . . . . 11
   3.  IANA Considerations  . . . . . . . . . . . . . . . . . . . . . 11
   4.  Security Considerations  . . . . . . . . . . . . . . . . . . . 12
   5.  Insecurity Considerations  . . . . . . . . . . . . . . . . . . 12
   6.  References . . . . . . . . . . . . . . . . . . . . . . . . . . 12
     6.1.  Normative References . . . . . . . . . . . . . . . . . . . 12
     6.2.  Informative References . . . . . . . . . . . . . . . . . . 13
   Appendix A.  Appendix A: Test Data . . . . . . . . . . . . . . . . 13
     A.1.  brainpoolP160r1  . . . . . . . . . . . . . . . . . . . . . 14
     A.2.  brainpoolP160t1  . . . . . . . . . . . . . . . . . . . . . 14
     A.3.  brainpoolP192r1  . . . . . . . . . . . . . . . . . . . . . 15
     A.4.  brainpoolP192t1  . . . . . . . . . . . . . . . . . . . . . 15
     A.5.  brainpoolP224r1  . . . . . . . . . . . . . . . . . . . . . 16
     A.6.  brainpoolP224t1  . . . . . . . . . . . . . . . . . . . . . 17
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