Return-Path: Received: from smtp2.osuosl.org (smtp2.osuosl.org [140.211.166.133]) by lists.linuxfoundation.org (Postfix) with ESMTP id 6BC98C0001 for ; Sat, 15 May 2021 20:25:32 +0000 (UTC) Received: from localhost (localhost [127.0.0.1]) by smtp2.osuosl.org (Postfix) with ESMTP id 53115401AE for ; Sat, 15 May 2021 20:25:32 +0000 (UTC) X-Virus-Scanned: amavisd-new at osuosl.org X-Spam-Flag: NO X-Spam-Score: -2.801 X-Spam-Level: X-Spam-Status: No, score=-2.801 tagged_above=-999 required=5 tests=[BAYES_00=-1.9, DKIM_SIGNED=0.1, DKIM_VALID=-0.1, DKIM_VALID_AU=-0.1, DKIM_VALID_EF=-0.1, RCVD_IN_DNSWL_LOW=-0.7, SPF_PASS=-0.001] autolearn=ham autolearn_force=no Authentication-Results: smtp2.osuosl.org (amavisd-new); dkim=pass (2048-bit key) header.d=timruffing.de Received: from smtp2.osuosl.org ([127.0.0.1]) by localhost (smtp2.osuosl.org [127.0.0.1]) (amavisd-new, port 10024) with ESMTP id 1nysXyWLTPj7 for ; Sat, 15 May 2021 20:25:30 +0000 (UTC) X-Greylist: from auto-whitelisted by SQLgrey-1.8.0 Received: from mout-p-201.mailbox.org (mout-p-201.mailbox.org [IPv6:2001:67c:2050::465:201]) by smtp2.osuosl.org (Postfix) with ESMTPS id 6472B40192 for ; Sat, 15 May 2021 20:25:30 +0000 (UTC) Received: from smtp2.mailbox.org (smtp2.mailbox.org [IPv6:2001:67c:2050:105:465:1:2:0]) (using TLSv1.3 with cipher TLS_AES_256_GCM_SHA384 (256/256 bits) key-exchange ECDHE (P-384) server-signature RSA-PSS (4096 bits) server-digest SHA256) (No client certificate requested) by mout-p-201.mailbox.org (Postfix) with ESMTPS id 4FjH2b6T8CzQj4Y; Sat, 15 May 2021 22:25:27 +0200 (CEST) X-Virus-Scanned: amavisd-new at heinlein-support.de DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=timruffing.de; s=MBO0001; t=1621110326; h=from:from:reply-to:subject:subject:date:date:message-id:message-id: to:to:cc:mime-version:mime-version:content-type:content-type: content-transfer-encoding:content-transfer-encoding: in-reply-to:in-reply-to:references:references; bh=ouLtHaec4zg5RcAJg6rmamJ9oDXa4lxHqA1FzfUN0vs=; b=f50MGJLWa5nhzszoC84oZQlz4sFG/0nrq2ktARsdKIDtk08WCaSkWO3l5Udj/DY4h0zx3A JIr6PiTFvfkE/wHm7BrcyZi9OuzPzeqDrDYlW4LM6J17Xvl0qQlHaHgFKfX7WycT7DtWAo LXwA//jjGC9s8ayJRUZ+G8vd23t2yMgAAr43Mqtzq9HyfaawYVtG4lUrNHpYG1fFMHC/r5 HbDKNPVASs32muXS9x5HxhpaSsz+8aWeCs5mPXoHzo5PBctyMmg1iLRCrwF7JgQndTJSH0 6LZUYGQtzwYSakr6Ar2zeDwYUqymZB34y86qbV111+eBbGTpYGrqdbvWIkMngw== Received: from smtp2.mailbox.org ([80.241.60.241]) by spamfilter05.heinlein-hosting.de (spamfilter05.heinlein-hosting.de [80.241.56.123]) (amavisd-new, port 10030) with ESMTP id hLHGju01GFFt; Sat, 15 May 2021 22:25:24 +0200 (CEST) Message-ID: <13a8be987fc22ecc6284de4b84ef5310f2cd420c.camel@timruffing.de> From: Tim Ruffing To: vjudeu , Bitcoin Protocol Discussion Date: Sat, 15 May 2021 22:25:23 +0200 In-Reply-To: <131606955-6366ea10aec2eec765339d72e7c936ab@pmq5v.m5r2.onet> References: <131606955-6366ea10aec2eec765339d72e7c936ab@pmq5v.m5r2.onet> Content-Type: text/plain; charset="UTF-8" MIME-Version: 1.0 Content-Transfer-Encoding: 8bit X-MBO-SPAM-Probability: X-Rspamd-Score: -3.71 / 15.00 / 15.00 X-Rspamd-Queue-Id: BEF871800 X-Rspamd-UID: 441fbd X-Mailman-Approved-At: Sat, 15 May 2021 20:31:54 +0000 Subject: Re: [bitcoin-dev] Sum of the keys attack on taproot X-BeenThere: bitcoin-dev@lists.linuxfoundation.org X-Mailman-Version: 2.1.15 Precedence: list List-Id: Bitcoin Protocol Discussion List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , X-List-Received-Date: Sat, 15 May 2021 20:25:32 -0000 On Sat, 2021-05-15 at 12:21 +0200, vjudeu via bitcoin-dev wrote: > All that is needed is producing a signature matching the sum of the > public keys used in taproot, which is "(a+b-a)*G",  This is simply not true. Taproot does not enable this, or any other form of "cross-input aggregation", i.e., spending multiple UTXOs with a single signature.  Tim