From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: from smtp1.linuxfoundation.org (smtp1.linux-foundation.org [172.17.192.35]) by mail.linuxfoundation.org (Postfix) with ESMTPS id 56A60DCA for ; Mon, 6 Aug 2018 14:02:31 +0000 (UTC) X-Greylist: whitelisted by SQLgrey-1.7.6 Received: from mail-it0-f54.google.com (mail-it0-f54.google.com [209.85.214.54]) by smtp1.linuxfoundation.org (Postfix) with ESMTPS id 2B6E11A0 for ; Mon, 6 Aug 2018 14:02:30 +0000 (UTC) Received: by mail-it0-f54.google.com with SMTP id s7-v6so17534794itb.4 for ; Mon, 06 Aug 2018 07:02:30 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=blockstream.io; s=google; h=mime-version:in-reply-to:references:from:date:message-id:subject:to :cc; bh=yr7w69mOjAwCAV2Hf1azX+iFNkuQMoMeU5NRV2po1Mo=; b=W6jZQWwa3PYUFEUQh+UIbE5UpqcIhoeWi7TPVKzlZR/rT0lFEG8FQPUfn76iT8UNnQ ShpfITbSbViuh0areZvkydOuSyKLHeKX3c7UhgE6nuwMIq0wMhQiKsyGzDG3jj9fD/vU Ly9NDI7GtbmWlowLaIGumVNpiaiGJW8hfFLrE= 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=yr7w69mOjAwCAV2Hf1azX+iFNkuQMoMeU5NRV2po1Mo=; b=VnL58EhWcFTHTTFwagx10hEwCklal9bYs/gjcUy9NX0QWLy7SpXRwGQEWpAKfb/gG3 pMGVgA6vQD9oXyhTnPNzd3LhvpQcPJiXGovK2lK08mfWYM75f4S2asnDSY3vyM9+4EPr Hyr0V8FCZIwJVKWQk90BiQMcu/3SehIrJB5p7q4GmJCXVPQFeGuZJHXXcyqnlooTl4de 63hinRcmC6ckFvysRlFN+SyUysjR1dMU3UtOx6iRO11KKNa6p9DhQCnnfx4sIgxJZX1X h27CVgdlr8qwE1FZHGC4+3aQdmRxgdShZCTpI62w+Wxawc7TbZNyiyzMMHur9knuodey 09Qg== X-Gm-Message-State: AOUpUlGe5/GfX963H0tkdUmH7eT9xfS08zwKdeRWuHjL75T8We+XIJYp cAVJF3q7N/E4z3B27q6VJ2MfUAExCiqgGW6+M1VFYw== X-Google-Smtp-Source: AAOMgpfDi6nbt6g07CXmZPBxvtdrlswWBhh90y8MwyLNZVLVvX+Mgv2gRlFpQ41vOZ8zn6i7IEM+XZTZ3xzjqMQ5liw= X-Received: by 2002:a24:5004:: with SMTP id m4-v6mr15016415itb.38.1533564082426; Mon, 06 Aug 2018 07:01:22 -0700 (PDT) MIME-Version: 1.0 Received: by 2002:a02:6949:0:0:0:0:0 with HTTP; Mon, 6 Aug 2018 07:00:59 -0700 (PDT) In-Reply-To: <20180806083925.kg5px476bzhec44b@erisian.com.au> References: <20180806083925.kg5px476bzhec44b@erisian.com.au> From: "Russell O'Connor" Date: Mon, 6 Aug 2018 10:00:59 -0400 Message-ID: To: Anthony Towns Content-Type: multipart/alternative; boundary="00000000000072d2910572c4b672" X-Spam-Status: No, score=-2.0 required=5.0 tests=BAYES_00,DKIM_SIGNED, DKIM_VALID, DKIM_VALID_AU, HTML_MESSAGE, RCVD_IN_DNSWL_NONE autolearn=ham version=3.3.1 X-Spam-Checker-Version: SpamAssassin 3.3.1 (2010-03-16) on smtp1.linux-foundation.org Cc: Bitcoin Protocol Discussion Subject: Re: [bitcoin-dev] Schnorr signatures BIP X-BeenThere: bitcoin-dev@lists.linuxfoundation.org X-Mailman-Version: 2.1.12 Precedence: list List-Id: Bitcoin Protocol Discussion List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Mon, 06 Aug 2018 14:02:31 -0000 --00000000000072d2910572c4b672 Content-Type: text/plain; charset="UTF-8" On Mon, Aug 6, 2018 at 4:39 AM, Anthony Towns wrote: > On Sun, Aug 05, 2018 at 10:33:52AM -0400, Russell O'Connor via bitcoin-dev > wrote: > > In light of this, I revise my proposed change to make the verification > > equation > > > > R + sG + eP = 0. > > Isn't the verification equation "R + s(-G) + eP = 0" equally good, then, > since -G is a constant? (ie, at worst it's a matter of optimising the > verifier for -G as well as G) > Yes you are right. Thanks, I withdraw my proposal. --00000000000072d2910572c4b672 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable


On Mon, Aug 6, 2018 at 4:39 AM, Anthony Towns <aj@erisian.com.au&g= t; wrote:
On Sun,= Aug 05, 2018 at 10:33:52AM -0400, Russell O'Connor via bitcoin-dev wro= te:
> In light of this, I revise my proposed change to make the verification=
> equation
>
> R + sG + eP =3D 0.

Isn't the verification equation "R + s(-G) + eP =3D 0"= equally good, then,
since -G is a constant? (ie, at worst it's a matter of optimising the verifier for -G as well as G)

Yes you are right.

Thanks, I withd= raw my proposal.
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