From mboxrd@z Thu Jan 1 00:00:00 1970 Received: from sog-mx-4.v43.ch3.sourceforge.com ([172.29.43.194] helo=mx.sourceforge.net) by sfs-ml-2.v29.ch3.sourceforge.com with esmtp (Exim 4.76) (envelope-from ) id 1WNmg0-0005dF-5G for bitcoin-development@lists.sourceforge.net; Wed, 12 Mar 2014 17:10:44 +0000 Received-SPF: pass (sog-mx-4.v43.ch3.sourceforge.com: domain of bitpay.com designates 209.85.216.49 as permitted sender) client-ip=209.85.216.49; envelope-from=ryan@bitpay.com; helo=mail-qa0-f49.google.com; Received: from mail-qa0-f49.google.com ([209.85.216.49]) by sog-mx-4.v43.ch3.sourceforge.com with esmtps (TLSv1:RC4-SHA:128) (Exim 4.76) id 1WNmfz-0006SS-FD for bitcoin-development@lists.sourceforge.net; Wed, 12 Mar 2014 17:10:44 +0000 Received: by mail-qa0-f49.google.com with SMTP id j7so2763793qaq.8 for ; Wed, 12 Mar 2014 10:10:37 -0700 (PDT) X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20130820; h=x-gm-message-state:message-id:date:from:user-agent:mime-version:to :subject:content-type; bh=bV5/pe/hD43QGw9QLXvPNdszbcAzOkCvFbRvpf02M2o=; b=DWDX3hsgkXCPckCfJVMhMKPuClNq6stOA9HlpPdNBzbrcu2lx4l4i7ac3Wsk2OHJv8 N8OMDQtNmY1xaNisqLlwHwBPBAusrpop36kB19dYVajHx3dZgy5hXZotGq/QTVqgkRuH mECoFN9b9I9BLgd0DBU6X4fkYduFA2qgbYiilys4sfrkC3bj6mJigOxbneDsFNSUXV7q rmQPbDs17mv9Gfd9WitZb9dXYgSfhDUDEJIBZUCHP88pcyWX/vo6K+MjTBU1XtVeOR8Z Na96bcWFib6NIYkQjNup/gDiq0jXxKRe+n6o3fcxNnTVuwFrbfylRKtl0D9TbhYAcG8g dPyA== X-Gm-Message-State: ALoCoQn6Lu51ekWpkNQ/TLWCnJErUhd/YUm+8f9ADmP9pWeO/iQAkqPmRggKE24bgj85e5SHYNAO X-Received: by 10.140.39.212 with SMTP id v78mr53353697qgv.77.1394644237366; Wed, 12 Mar 2014 10:10:37 -0700 (PDT) Received: from rxc-h.local ([72.16.218.22]) by mx.google.com with ESMTPSA id w5sm79822877qat.16.2014.03.12.10.10.36 for (version=TLSv1 cipher=ECDHE-RSA-RC4-SHA bits=128/128); Wed, 12 Mar 2014 10:10:36 -0700 (PDT) Message-ID: <5320950C.5050107@bitpay.com> Date: Wed, 12 Mar 2014 13:10:36 -0400 From: "Ryan X. Charles" User-Agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10.9; rv:24.0) Gecko/20100101 Thunderbird/24.3.0 MIME-Version: 1.0 To: bitcoin-development@lists.sourceforge.net X-Enigmail-Version: 1.6 Content-Type: multipart/mixed; boundary="------------040807090208060101050100" X-Spam-Score: -1.6 (-) X-Spam-Report: Spam Filtering performed by mx.sourceforge.net. See http://spamassassin.org/tag/ for more details. -1.5 SPF_CHECK_PASS SPF reports sender host as permitted sender for sender-domain -0.0 SPF_PASS SPF: sender matches SPF record -0.1 DKIM_VALID_AU Message has a valid DKIM or DK signature from author's domain 0.1 DKIM_SIGNED Message has a DKIM or DK signature, not necessarily valid -0.1 DKIM_VALID Message has at least one valid DKIM or DK signature X-Headers-End: 1WNmfz-0006SS-FD Subject: [Bitcoin-development] sorting public keys for p2sh multisig transactions X-BeenThere: bitcoin-development@lists.sourceforge.net X-Mailman-Version: 2.1.9 Precedence: list List-Id: List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Wed, 12 Mar 2014 17:10:44 -0000 This is a multi-part message in MIME format. --------------040807090208060101050100 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit For a p2sh multisig transaction, the serialized script looks like this: m [pubkey] ... [pubkey] n OP_CHECKMULTISIG The p2sh address is the hash of this script. The public keys can come in any order, but the hash depends on the order. If you have a list of public keys, to which address do you send your money? We need a standard way of sorting the public keys so that the address generated is always the same for the same public keys and m. There are two kinds of public keys: compressed and uncompressed. Uncompressed are longer than compressed. There are a few obvious ways we could sort the public keys: as strings, as big endian numbers, as little endian numbers. The difference is this. Suppose one public key is 59234 (uncompressed), and the other is 6903 (compressed). If we sort these as strings, then 6903 > 59234. But if we sort them as big endian numbers, then 6903 is really 06903, and then 06903 < 59234. So it makes a critical difference. Sorting as little endian is yet another option that is not the same as the other two. I noticed Alan Reiner's comment in an earlier message: "Just like Jean-Pierre mentioned, we'll be using parallel trees to generate P2SH addresses after sorting the keys lexicographically." It sounds like "lexicographically" probably means sorting as strings. I have made an implementation of public key sorting in javascript where I sort them as big endian numbers and fill in the 0s. IMO, the simpler method is to sort them as strings, which has a simpler implementation since it doesn't require filling in 0s first. However, I don't actually care what method we use so long as everyone in the bitcoin world uses the same standard. Which is the best way to sort public keys? -- Ryan X. Charles Software Engineer, BitPay --------------040807090208060101050100 Content-Type: application/pgp-keys; name="0xA11B4DDE.asc" Content-Transfer-Encoding: quoted-printable Content-Disposition: attachment; filename="0xA11B4DDE.asc" -----BEGIN PGP PUBLIC KEY BLOCK----- Version: GnuPG v1 mQINBE3TEX0BEAC9RBUQXyHkqa7vZeRdKJp055NrQf90WMwYPSkVid+070kbGUDG u1enIhRvTK/N89YFMQmReeDoWlYbnNA3/c1ohpOF7xbHt/+zI/EsyhRLO8FdRQY8 Z99+O8lgSMhBKSPa2zKXe7k4D80blrlkVLSsWDyHxpUaI8chzc3oOi8DucJyhjv5 VM6yvwxVcdG/YZAclgl+2H4pp6q6aa0VWygzbOVjbGnrzIBJ+yt8k14n44tOpH2m My4xRAwa5XI5yqcH8ausSbE8Vyu4IUX04+U3q94TeLCBOneONFYZ1nfXmiY8/A9h raDwmaZiHUppW/kBrqT6JkD2VXK43K+wlHW+XgCYcpec83PgNrotIXophoPaCyBi pHBhIp17WOeIJt06d5isuTy09darvyPPNkkMX1RqH9U2/qvTjTP4cRgzTqQXvTae YqIP96gnjQgMZNqKdBkVv/fN3KyuJJ7FYBNvdqyUpHf3xwV8uz/0XuUY3DcmpSRy wb5DUa981xNnd/1rcAfO9arLq7jBl0qRpEe36ooJjfvZvS+WGiglBbtyOdK4O5N6 7c7kJxcJbowcatcCBdzZKK9DiuIc6w9lmuH1/QLwBqhSpyYdtI8wI/XssK3JLAGn 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