Re: [Cfrg] A big, big Elliptic Curve

Mike Hamburg <mike@shiftleft.org> Sun, 10 April 2016 17:12 UTC

Return-Path: <mike@shiftleft.org>
X-Original-To: cfrg@ietfa.amsl.com
Delivered-To: cfrg@ietfa.amsl.com
Received: from localhost (localhost [127.0.0.1]) by ietfa.amsl.com (Postfix) with ESMTP id 8D47A12B044 for <cfrg@ietfa.amsl.com>; Sun, 10 Apr 2016 10:12:41 -0700 (PDT)
X-Virus-Scanned: amavisd-new at amsl.com
X-Spam-Flag: NO
X-Spam-Score: -1.02
X-Spam-Level:
X-Spam-Status: No, score=-1.02 tagged_above=-999 required=5 tests=[BAYES_00=-1.9, DKIM_SIGNED=0.1, DKIM_VALID=-0.1, DKIM_VALID_AU=-0.1, RDNS_DYNAMIC=0.982, SPF_HELO_PASS=-0.001, SPF_PASS=-0.001] autolearn=no autolearn_force=no
Authentication-Results: ietfa.amsl.com (amavisd-new); dkim=pass (1024-bit key) header.d=shiftleft.org
Received: from mail.ietf.org ([4.31.198.44]) by localhost (ietfa.amsl.com [127.0.0.1]) (amavisd-new, port 10024) with ESMTP id kmWtCx6UK5kk for <cfrg@ietfa.amsl.com>; Sun, 10 Apr 2016 10:12:40 -0700 (PDT)
Received: from astral.shiftleft.org (192-195-80-246.PUBLIC.monkeybrains.net [192.195.80.246]) by ietfa.amsl.com (Postfix) with ESMTP id 5835112B041 for <cfrg@irtf.org>; Sun, 10 Apr 2016 10:12:40 -0700 (PDT)
Received: from [192.168.1.114] (unknown [192.168.1.1]) (Authenticated sender: mike) by astral.shiftleft.org (Postfix) with ESMTPSA id C5E509FFA8; Sun, 10 Apr 2016 10:12:39 -0700 (PDT)
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=shiftleft.org; s=sldo; t=1460308359; bh=LQE8aVsG59FCjGVmGTZkEh6o7xqS+aJzsD4Yy7x2D3I=; h=Subject:From:In-Reply-To:Date:Cc:References:To:From; b=AtuF6t+t/MtbpXrnba7a0x1STgUqhmyFNhJq+zstFmRPQYSRIcbC5ROwTdgRnIf/i It1F8htGafOrc/eDe9HbnGg4Wq7nFCBDV9N3fyTs5s31jJUYJGzJ3Rp+/pwddXhFTT R0g+OlvdF+uzQWK3bPYXAMfvP7IR1qTqudBT25FY=
Content-Type: multipart/signed; boundary="Apple-Mail-63EF8944-6F5F-4D0A-A34B-26BF88B48FA5"; protocol="application/pkcs7-signature"; micalg="sha1"
Mime-Version: 1.0 (1.0)
From: Mike Hamburg <mike@shiftleft.org>
X-Mailer: iPhone Mail (13E238)
In-Reply-To: <CAMm+LwgK6rxuwT23+OsBB1Z1=GEd2JmawrjVFDcAqgEQWcpNJg@mail.gmail.com>
Date: Sun, 10 Apr 2016 10:12:39 -0700
Content-Transfer-Encoding: 7bit
Message-Id: <858AE939-7119-49DA-A9C2-79B1DF5DC8BB@shiftleft.org>
References: <CAMm+LwgK6rxuwT23+OsBB1Z1=GEd2JmawrjVFDcAqgEQWcpNJg@mail.gmail.com>
To: Phillip Hallam-Baker <phill@hallambaker.com>
X-Virus-Scanned: clamav-milter 0.98.7 at astral
X-Virus-Status: Clean
Archived-At: <http://mailarchive.ietf.org/arch/msg/cfrg/moEDMablPpaP5DcaRpzs5bkcof0>
Cc: "cfrg@irtf.org" <cfrg@irtf.org>
Subject: Re: [Cfrg] A big, big Elliptic Curve
X-BeenThere: cfrg@irtf.org
X-Mailman-Version: 2.1.17
Precedence: list
List-Id: Crypto Forum Research Group <cfrg.irtf.org>
List-Unsubscribe: <https://www.irtf.org/mailman/options/cfrg>, <mailto:cfrg-request@irtf.org?subject=unsubscribe>
List-Archive: <https://mailarchive.ietf.org/arch/browse/cfrg/>
List-Post: <mailto:cfrg@irtf.org>
List-Help: <mailto:cfrg-request@irtf.org?subject=help>
List-Subscribe: <https://www.irtf.org/mailman/listinfo/cfrg>, <mailto:cfrg-request@irtf.org?subject=subscribe>
X-List-Received-Date: Sun, 10 Apr 2016 17:12:41 -0000

At that point, wouldn't the multiplicative group of a prime field be a better choice?

Sent from my phone.  Please excuse brevity and typos.

> On Apr 10, 2016, at 07:59, Phillip Hallam-Baker <phill@hallambaker.com> wrote:
> 
> Following our discussion on QC hardening. Among the range of
> responses, perhaps we should consider an Elliptic Curve with a QC
> difficulty comparable to that of RSA.
> 
> As mentioned in the meeting, QC attacks don't use the same algorithms
> as conventional attacks and so the difficulty of breaking Curve 25519
> is considerably less than breaking RSA2048.
> 
> Interpreting the NSA advice is error prone. But the straight reading
> would be 'we think it more likely that a quantum computer will be
> built that can break current ECC schemes before someone works out how
> to break RSA 3096.
> 
> So maybe what we need is Curve2048 or Curve3096, just to be sure. It
> would be slow of course. But it could be useful.
> 
> _______________________________________________
> Cfrg mailing list
> Cfrg@irtf.org
> https://www.irtf.org/mailman/listinfo/cfrg