Return-Path: Received: from smtp2.osuosl.org (smtp2.osuosl.org [IPv6:2605:bc80:3010::133]) by lists.linuxfoundation.org (Postfix) with ESMTP id 67DC1C002D for ; Thu, 28 Apr 2022 03:54:13 +0000 (UTC) Received: from localhost (localhost [127.0.0.1]) by smtp2.osuosl.org (Postfix) with ESMTP id 5597F40159 for ; Thu, 28 Apr 2022 03:54:13 +0000 (UTC) X-Virus-Scanned: amavisd-new at osuosl.org X-Spam-Flag: NO X-Spam-Score: -1.848 X-Spam-Level: X-Spam-Status: No, score=-1.848 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, FREEMAIL_ENVFROM_END_DIGIT=0.25, FREEMAIL_FROM=0.001, HTML_MESSAGE=0.001, RCVD_IN_DNSWL_NONE=-0.0001, SPF_HELO_NONE=0.001, SPF_PASS=-0.001] autolearn=ham autolearn_force=no Authentication-Results: smtp2.osuosl.org (amavisd-new); dkim=pass (2048-bit key) header.d=gmail.com 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 Ncpoeux0s_8R for ; Thu, 28 Apr 2022 03:54:12 +0000 (UTC) X-Greylist: whitelisted by SQLgrey-1.8.0 Received: from mail-wm1-x32f.google.com (mail-wm1-x32f.google.com [IPv6:2a00:1450:4864:20::32f]) by smtp2.osuosl.org (Postfix) with ESMTPS id 9290E4010D for ; Thu, 28 Apr 2022 03:54:12 +0000 (UTC) Received: by mail-wm1-x32f.google.com with SMTP id q20so2188330wmq.1 for ; Wed, 27 Apr 2022 20:54:12 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20210112; h=mime-version:references:in-reply-to:from:date:message-id:subject:to; bh=6bZDhNyIDD4yKFiIAOW/O9KEf3KVZl6iBI1zNoFSD00=; b=SfBy4OY0Wi8Ybpbnb7x1MYPNzI5wBP2vQMlQWjsH0aspJH/6px7rwGYToV8zR5uFkd ooOtV6uZS8MX8PQdVW9rNm+Qd52gqiv05PVYRajGMuW9r14iGpMk4PYN+EOtrKn35rnk gOVqh/eK8HH76ayk1g9KSAJI8adTG1D5cencxxVtkQ8yNVVmKrLARHq1n8fNX3+mSMla aFLUogrKYksHViy66ePKvjPenny6c5y+amhovykeTGoQmBJvmKEfoZYW1S+ZI0BAq1bc ye+BvN1y9ZpYhIo0VyQ2A8bP+GOSTbbI0zCDoPIs+kjnPXRoKdVFjrW991qCXBPh+UnI NASg== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20210112; h=x-gm-message-state:mime-version:references:in-reply-to:from:date :message-id:subject:to; bh=6bZDhNyIDD4yKFiIAOW/O9KEf3KVZl6iBI1zNoFSD00=; b=mk7sOXOD5UdjHRHvwnzk88gB3DX8eEK8r8Zp73W4IFYmuX6Pz4B7941x7p2YJQHyRE RI0lKTJMuCwN8+t0hi5LdgHPrQCf+Y1xsgXqlgSCw/aYshG2h5Y+8cEIXshNvlG02Jmy KSvWF5EjjxR4wqej43qQTf3OKfHN7FQqE5buk26jE2/qp8b9bVYbsi6Adf7ZniOwjL92 Qu/chsMtmQP8QrGvvvPNJ40tsan0/+0LvklmXGl2zAinoNF9Qrtxc42ohYWkqhZaYU/L QF+KZ3Z2W+d8UZOyVyXZB1gvTfouYgmAyYdEfDUTY+sq0wYtKgImtul7MlVNWfRpJb4j QD6g== X-Gm-Message-State: AOAM531XKsOv1Tw8ScvwNOaQ5SAEZdUyiL8lSKpNUGOGk3qM7XldNJ6g mdzYuKbyQPs+jC7axRh02NQ9yc6anNKykUYBAOY= X-Google-Smtp-Source: ABdhPJwa76Ag2ta+Nu4mYfFudksPsHrr1E9RWpm9tdvMiMTuM+XEn/IDYoJ6AoIVS94rTNP/4dpJ+xttN/NLi8Tjvjs= X-Received: by 2002:a05:600c:35c9:b0:393:f039:d10a with SMTP id r9-20020a05600c35c900b00393f039d10amr13548005wmq.95.1651118050535; Wed, 27 Apr 2022 20:54:10 -0700 (PDT) MIME-Version: 1.0 References: <46175970-d2ab-a58e-7010-f29820849604@gmail.com> In-Reply-To: From: Olaoluwa Osuntokun Date: Wed, 27 Apr 2022 20:53:59 -0700 Message-ID: To: Jonas Nick , Bitcoin Protocol Discussion Content-Type: multipart/alternative; boundary="000000000000e2706b05ddaee028" Subject: Re: [bitcoin-dev] MuSig2 BIP 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: Thu, 28 Apr 2022 03:54:13 -0000 --000000000000e2706b05ddaee028 Content-Type: text/plain; charset="UTF-8" Stating the taproot interaction more plainly: the taproot tweak is defined as a function of the internal key itself h_tapTeak(internalKey || rootHash), which means that the full tweak can't be known ahead of time. Instead, one must aggregate the keys to obtain the internal key _then_ apply the tweaks as normal. -- Laolu --000000000000e2706b05ddaee028 Content-Type: text/html; charset="UTF-8" Content-Transfer-Encoding: quoted-printable
Stating the taproot interaction more plainly: the taproot = tweak is defined
as a function of the internal key itself h_tapTeak(inte= rnalKey || rootHash),
which means that the full tweak can't be known= ahead of time. Instead, one
must aggregate=C2=A0the keys to obtain the = internal key _then_ apply the tweaks
as normal.=C2=A0

-- Laolu
--000000000000e2706b05ddaee028--