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Greetings, IPsec Working Group:

With respect to the IKE draft (draft-ietf-ipsec-isakmp-oakley-06.txt),
I wish to recommend the following changes.


(1) Replace the existing Section 6.3 with the following text.


6.3   Third Oakley Group

   IKE implementations SHOULD support a EC2N group with the following
   characteristics. The curve is based on the Galois Field GF[2^^163]
   of size 163.  The irreducible polynomial for the field is the following.
           u^^163 + u^^7 + u^^6 + u^^3 + 1.
   The equation for the elliptic curve is the following.
           y^^2 + xy = x^^3 + ax^^2 + b.
   The group parameters are the following.

   Field Size:             163
   Irreducible Polynomial: 800000000000000000000000000000000000000C9
   Group Generator:        x = 00BBB949D3D5B393DE4F5F02A9AC41EEF6501E43FA
                           y = 04DE2AD998E55B65000BA7C260D7F8E5D06F87048A
   Group Curve A:          023AA0F25B12388DE8A10FF9554F90AFBAA9A08B6F
   Group Curve B:          04DFA8D4FAE77C4A9CA2DEB14EAA8169DD9DA43647
   Cofactor:               2
   Point Order:            03FFFFFFFFFFFFFFFFFFFF48AAB689C29CA710279B



(2) Replace the existing Section 6.4 with the following text.


6.4   Fourth Oakley Group

   IKE implementations SHOULD support a EC2N group with the following
   characteristics. The curve is based on the Galois Field GF[2^^239]
   of size 239.  The irreducible polynomial for the field is the following.
           u^^239 + u^^158 + 1.
   The equation for the elliptic curve is the following.
           y^^2 + xy = x^^3 + ax + b.
   The group parameters are the following.

   Field Size:             239
   Irreducible Polynomial:
800000000000000000004000000000000000000000000000000000000001
   Group Generator:        x =
53986A165E814AD03D242D490933FE786FA6FBD40B8175B82C0ACC56132E
                           y =
68A7846741E0E093DCAD2B8D6FD3201E2450E9D8DDD3A844B3D473EEC11B
   Group Curve A:
4F0E193BE91357A5091FD679B55D9CAC6EE2BC27B83BD66F18446B10D567
   Group Curve B:
70755A7735113F34FA488C2510F22DC1E54BA8BFE0B33CB7A15B92B11701
   Cofactor:               4
   Point Order:
200000000000000000000000000000474F7E69F42FE430931D0B455AAE8B

[end]


The suggested new Group 3 has the cryptographic strength of RSA at 1024
bits and the suggested new Group 4 has the cryptographic strength of RSA at
2500 bits.

Thank you.
john o goyo