Well, no; step 2 of the check is unnecessary for the standard IKE groups (1, 2, 
5, 14-18), and it is extremely expensive as written; and while there are 
optimizations possible, it's still not cheap.

-----Original Message-----
From: Johannes Merkle [mailto:johannes.mer...@secunet.com] 
Sent: Friday, December 07, 2012 7:20 AM
To: Scott Fluhrer (sfluhrer)
Cc: Yaron Sheffer; Manfred Lochter; Yoav Nir; Dan Harkins; IPsecme WG; 
rfc-...@rfc-editor.org; Sean P. Turner
Subject: Re: [IPsec] I-D on Using the ECC Brainpool Curves for IKEv2 Key 
Exchange

For MODP groups, we can just refer to RFC 2631, Section 2.1.5


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