Re: [Cfrg] ECC mod 8^91+5

Samuel Neves <samuel.c.p.neves@gmail.com> Wed, 02 August 2017 15:31 UTC

Return-Path: <samuel.c.p.neves@gmail.com>
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 97EF1132131 for <cfrg@ietfa.amsl.com>; Wed, 2 Aug 2017 08:31:08 -0700 (PDT)
X-Virus-Scanned: amavisd-new at amsl.com
X-Spam-Flag: NO
X-Spam-Score: -2.699
X-Spam-Level:
X-Spam-Status: No, score=-2.699 tagged_above=-999 required=5 tests=[BAYES_00=-1.9, DKIM_SIGNED=0.1, DKIM_VALID=-0.1, DKIM_VALID_AU=-0.1, FREEMAIL_FROM=0.001, RCVD_IN_DNSWL_LOW=-0.7, SPF_PASS=-0.001, URIBL_BLOCKED=0.001] autolearn=ham autolearn_force=no
Authentication-Results: ietfa.amsl.com (amavisd-new); dkim=pass (2048-bit key) header.d=gmail.com
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 0DYTXa9Xm5ZG for <cfrg@ietfa.amsl.com>; Wed, 2 Aug 2017 08:31:07 -0700 (PDT)
Received: from mail-wm0-x231.google.com (mail-wm0-x231.google.com [IPv6:2a00:1450:400c:c09::231]) (using TLSv1.2 with cipher ECDHE-RSA-AES128-GCM-SHA256 (128/128 bits)) (No client certificate requested) by ietfa.amsl.com (Postfix) with ESMTPS id DF36C132145 for <cfrg@irtf.org>; Wed, 2 Aug 2017 08:31:06 -0700 (PDT)
Received: by mail-wm0-x231.google.com with SMTP id t138so41654442wmt.1 for <cfrg@irtf.org>; Wed, 02 Aug 2017 08:31:06 -0700 (PDT)
DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20161025; h=mime-version:in-reply-to:references:from:date:message-id:subject:to :cc; bh=MyTrSmp/XnNFCrQs2h531iKvsJLw6JpnElQCShGYd4U=; b=lae8ZYbWrV11M82TTSirp4URQ7RaQfKU5mMwI4Fz673+h2CZXLEhQVHuj33oUbvSFz 6bmHMgYlSBf69NNOHJHhB5F27SZuHnsuQilDLqWrfNx+ZyNrCfQf+fzCbkW+uuN7xn1A P8MngqZ/FuPh36z+ijzYU9vnOAKzheVHB03/EYEEgfUEcyI/HgnIdjugITkEHpjKg4QJ wkCLW4wPLolXWYiI6RUc01vXenqhYc10zhmYDt3BKdnDfpLJQrtnsLpfJCr9LPkAZONn ONPDdDXKbEkRHzMIwKTD4tcWCKtHohOsBGvziFzArmRRYxAf/aSTyAs5nX667VJRxUJi DMyA==
X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20161025; h=x-gm-message-state:mime-version:in-reply-to:references:from:date :message-id:subject:to:cc; bh=MyTrSmp/XnNFCrQs2h531iKvsJLw6JpnElQCShGYd4U=; b=lA7CdyiRP3tgnXsDMf1AvXPNcGjcuyjBdoyS506/6jIjHzXSR7XLJF5YEjmaJPic2H Vr4fxSzFj6qDih7CqqPLXieeuDnUEx8U5ezZBX9id7OCgEUHwSKGj23THDCtBKT9Dlok yTjT5VCduciULY3J1kzCVDP93zlHtR6vYAHuzCBS9waAJMbdS6kx1z6XxL6fk+A/ukg2 fF35A3Bpis168LtdPfwtzbYRMbRBatKcTQkd4EjomLLMI38LbDfzMv2KzvgZGR+D7Y3D O3tIW6sppxsU5wu4NxsfHU+1U0xS2bcdnXYSJdSBsIHguEHWB2oZsVEyyj4XoQNB8qG7 8tTQ==
X-Gm-Message-State: AIVw112l/ilEQ2lZau1k+nXYbwzoouIJXJ/TLM1kvsMbmzVunQkjt37O KzBnFmHWFOryhZv/2Hu4bLjXPuDfZw==
X-Received: by 10.80.149.2 with SMTP id u2mr21557332eda.126.1501687865447; Wed, 02 Aug 2017 08:31:05 -0700 (PDT)
MIME-Version: 1.0
Received: by 10.80.179.79 with HTTP; Wed, 2 Aug 2017 08:30:25 -0700 (PDT)
In-Reply-To: <810C31990B57ED40B2062BA10D43FBF501B79953@XMB116CNC.rim.net>
References: <810C31990B57ED40B2062BA10D43FBF501B181DA@XMB116CNC.rim.net> <810C31990B57ED40B2062BA10D43FBF501B7969D@XMB116CNC.rim.net> <20170802081237.k6pcmldfso4dkgeq@LK-Perkele-VII> <810C31990B57ED40B2062BA10D43FBF501B79953@XMB116CNC.rim.net>
From: Samuel Neves <samuel.c.p.neves@gmail.com>
Date: Wed, 02 Aug 2017 16:30:25 +0100
Message-ID: <CAEX_ruGT52-A5m_Cj59HZ4hPQ6y4z-84MSCOmZH4GbTyOjpStQ@mail.gmail.com>
To: Dan Brown <danibrown@blackberry.com>
Cc: "cfrg@irtf.org" <cfrg@irtf.org>
Content-Type: text/plain; charset="UTF-8"
Archived-At: <https://mailarchive.ietf.org/arch/msg/cfrg/vvOOqlI0BUJiaNcgFgkaIWxhjFw>
Subject: Re: [Cfrg] ECC mod 8^91+5
X-BeenThere: cfrg@irtf.org
X-Mailman-Version: 2.1.22
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: Wed, 02 Aug 2017 15:31:08 -0000

On Wed, Aug 2, 2017 at 3:11 PM, Dan Brown <danibrown@blackberry.com> wrote:
> (I had mistakenly thought complete formulas for NIST had been found, albeit slower - maybe they were only unified, so my understanding of what "complete" means is off.)

These formulas do exist, cf. [1] or [2], but they require curves of
_odd_ order, which is not the case here.

[1] https://doi.org/10.1006/jnth.1995.1088
[2] https://eprint.iacr.org/2015/1060

Best regards,
Samuel Neves