From mboxrd@z Thu Jan 1 00:00:00 1970 Delivery-date: Fri, 25 Apr 2025 09:44:25 -0700 Received: from mail-ot1-f56.google.com ([209.85.210.56]) by mail.fairlystable.org with esmtps (TLS1.3) tls TLS_ECDHE_RSA_WITH_AES_128_GCM_SHA256 (Exim 4.94.2) (envelope-from ) id 1u8MA4-0003Iu-RM for bitcoindev@gnusha.org; Fri, 25 Apr 2025 09:44:25 -0700 Received: by mail-ot1-f56.google.com with SMTP id 46e09a7af769-72b8ee50fbesf2233879a34.0 for ; Fri, 25 Apr 2025 09:44:24 -0700 (PDT) ARC-Seal: i=2; a=rsa-sha256; t=1745599459; cv=pass; d=google.com; s=arc-20240605; b=lE9QG3tNqY8iRl4idVqVJ2A0SGD2CWXk/Mro20nxd7M0+cFFVXTCOWUx+wspn9Hiq4 yJk4cE9EcFvlxzzTaFEjg5apiiVtt+pUteYjbnir7hmho4eyRdzqsKQ/CypE7VjbddSP SRgC9GxWrTYdi0lTPJocfFi6+5FTgb58SBWhnTxT9iBXjBE4e47uJwe76gsCsXn5QbCr ybNclkQsqYd8J5nhZPPI/Ux+xMkdewZOj50lB9RAa3+fSK2MzGDppEgr07yyxM6wuZk9 SITHbJ8g+LBhB2U66Y37K8nNZN6XozBXqfR8nwPtEhJ4vd2K2+0uLGzGGJjZEo8VoCAQ ThTA== ARC-Message-Signature: i=2; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20240605; h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post :list-id:mailing-list:precedence:in-reply-to:from:content-language :references:to:subject:user-agent:mime-version:date:message-id :sender:dkim-signature; bh=ju/csyNrK4QTgVImHkd98hVjA7YMzaGLG5EWlH5HT1Y=; fh=OiquNfZPXR/q8aVKXSsMeDxeeqJAalwjOA8qckxQyeU=; b=EU9fDVlNTiPAabpsSOqwn3THCI62rj5/NE4iXS85UUHjZdxhKxoJf9vaw6c0NGK9YJ zjx+9Wi2OgXMsqCB2E4soQuoJzMff6YGp7UySulsXW7YoOVlYiZvc6y6to3vAIxZm5qM AAFRVNLUcj/XE+Ga5ELWOUA2mcq8MjL6RCg8tdFNmtGVk4P2ejFJZdlYYYVa35t+hfnf /rrwYbm5vZeLIJIeTtMiSH2zazKXqQSMOIu7igaPmaR+3k7BjeRx/CamDpHgJUDORyqS dbvoou0xjcb555peVojOhAGgct2P/rDDZKbRISqQQUo4vR0WtzZAClwcl6Tos86U79Rq cb7g==; darn=gnusha.org ARC-Authentication-Results: i=2; gmr-mx.google.com; dkim=pass header.i=@gmail.com header.s=20230601 header.b=e0fWTdhp; spf=pass (google.com: domain of jonasd.nick@gmail.com designates 2a00:1450:4864:20::629 as permitted sender) smtp.mailfrom=jonasd.nick@gmail.com; dmarc=pass (p=NONE sp=QUARANTINE dis=NONE) header.from=gmail.com; dara=pass header.i=@googlegroups.com DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20230601; t=1745599459; x=1746204259; darn=gnusha.org; h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post :list-id:mailing-list:precedence:x-original-authentication-results :x-original-sender:in-reply-to:from:content-language:references:to :subject:user-agent:mime-version:date:message-id:sender:from:to:cc :subject:date:message-id:reply-to; bh=ju/csyNrK4QTgVImHkd98hVjA7YMzaGLG5EWlH5HT1Y=; b=mu7b42ebWFiFgUI3gSz8IE8D90QDdySeYKnV0hrtSMCPapoNMlk/4lmfl6bbrGapvf jxM1P67S2Tv+F3d2fSbhqBqBL0oAjyOMbILRUGUg74MDHDYnsmlZ2SlLQOMnMsoguMhP TfTS5p+DShpmQg0pA1da6bIoGWo0T+yr9mt7+kO/IQ2937PZQgU4p/7iZgCt8xYjiCaW jyW1c9fqEpEIPHChJJuEhUiPajdTPcWqIHIVYLYaQ2ephCiAGIpkrODr5AHSa9YO+cew RSf8NR5zebR0o/lXdte9s/L6BhrcjvILbHSG1/nNLanhDnJcizOl0OGqVDKWsBmiYH4O JqLA== X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20230601; t=1745599459; x=1746204259; h=list-unsubscribe:list-subscribe:list-archive:list-help:list-post :list-id:mailing-list:precedence:x-original-authentication-results :x-original-sender:in-reply-to:from:content-language:references:to :subject:user-agent:mime-version:date:message-id:sender:x-beenthere :x-gm-message-state:from:to:cc:subject:date:message-id:reply-to; bh=ju/csyNrK4QTgVImHkd98hVjA7YMzaGLG5EWlH5HT1Y=; b=pfbZ1SNKG4laZxSf6CtPfrmcyFZ3Yux8yibFfw07vD/A4wbxp9GPON9hYHHiuFAwo6 tWbAJdzE0Mxg5m4xefIz7YvgzDT5YhKMyzAEO64WWi79MN9pPlplQpn/DR5NT8gdnLiL OgJZL88E7rfiyaDGAOwWJckcPIaJp5oeDuPn3k0x6Nm3dAuLAZTSwKU2ZOMr3ZK/2Oy+ yEHGWmxVrDsycoQedCBltk1Mn7Upi758Zbg/rSeZw4+bdsK+JURb56O03SyHhvTFVfob Nkr2vv3k6cpNUxifOTbQxz9odV3FAVA5eWb7U0gP7wcdzi4KpMrOn6AqjQPAJNvmduBB i4Iw== X-Forwarded-Encrypted: i=2; AJvYcCU8/pVhCCREW9BHBrGnpM7wL/6xG3EI1pMiI8ReFx1H0dwDWIWILUjJwj7fZNacMLdN4a3sr3rQcBEj@gnusha.org X-Gm-Message-State: AOJu0YwNfkKlN2oMvf0iA9HKoVJpudekUiEoXQUEfpTTZa+0jcOtK8iC 5NKqD3AFL/MMUXjpwM//k79IBoFBB8rtQtlt1VBwVml4swBUWxsk X-Google-Smtp-Source: AGHT+IE1PKPq/4PTBZN97R3afwo9nyukYDHLcBh9bbcJJ0xyeuCVnarqOLfMsXV2yEBYlhLzCrsJ1g== X-Received: by 2002:a05:6871:68f:b0:2d4:d820:6d82 with SMTP id 586e51a60fabf-2d9a34f2f89mr1655610fac.26.1745599458797; Fri, 25 Apr 2025 09:44:18 -0700 (PDT) X-BeenThere: bitcoindev@googlegroups.com; h=AVT/gBG2Et1+qnFFO3dv/gp3v8CNnMo5J/cYT43Qv0OJYzj/gA== Received: by 2002:a05:6870:f228:b0:2c2:586d:6480 with SMTP id 586e51a60fabf-2d96633d14cls1288683fac.2.-pod-prod-01-us; Fri, 25 Apr 2025 09:44:15 -0700 (PDT) X-Received: by 2002:a05:6808:1b90:b0:3fe:ee31:f7b4 with SMTP id 5614622812f47-401f286f8b3mr2096290b6e.8.1745599455679; Fri, 25 Apr 2025 09:44:15 -0700 (PDT) Received: by 2002:a7b:cd93:0:b0:43c:fe31:d01d with SMTP id 5b1f17b1804b1-440a675d0dcms5e9; Fri, 25 Apr 2025 09:41:18 -0700 (PDT) X-Received: by 2002:a5d:5986:0:b0:391:1923:5a91 with SMTP id ffacd0b85a97d-3a074f7f5b7mr2797278f8f.55.1745599276047; Fri, 25 Apr 2025 09:41:16 -0700 (PDT) ARC-Seal: i=1; a=rsa-sha256; t=1745599276; cv=none; d=google.com; s=arc-20240605; b=ODeiXrjlvTro6W5U5FUqlxIANl2zltVGMwf5tH1AUFZEDcv3W7LfElqN98w6GOwkSF CC5JTsG9ck4oCBfuZf/yuktnf92ltz5GfBQJkACsm6LEMxxRrRTzrcL8rBQP+srtp1S4 /MOHOSlvfvf3oGZ9QFQUYY2BlAgVV0dwngxRKah9kYeO+cK7vjcwA+ViNapLkdPSvjBe OwFQHzP5V4DxsbrEARWzSlUCWLgLqEjYXN+xBLIHtcVouug3DNj5UkFdoDZ2RPrqUWC6 4+w+l8UjcNlY4168brJ2wnJ7ELQedLUMq6zuhlAoh+/hHrT/YUuLLNH9NWHE8UuOTQrf tkig== ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20240605; h=content-transfer-encoding:in-reply-to:from:content-language :references:to:subject:user-agent:mime-version:date:message-id :sender:dkim-signature; bh=+bcRy3ZytKNmluOkkysiaEkJuJiek3y7Auw7Qfv4FXs=; fh=VcGcg+Zjs9gw1uDcHbxsAILhBAcecnbJzZRdxgKVDIc=; b=C8sVNz/X/xdN7bwjB+o9QPf/zOYd3qeomlEkQpXekDn2DwJqt85pMLTc4eXVpph1SO 2CNHDrLyqcnJijLLbCdq4OnU7hdtzGbnaigajag50MhLBmZrI0Q5RKlh0s7/giyFQ5yV gX95gW6WvTGjaOa0xm+C2yCIbfw4udUZuMn9OMHCMsChLdnNT8ZFmPfBBiUwcgYN86xd IlzMu/clAg8S2U5chMch3IyvGqhXrwZMyjUPtmhGZ4UiRa8pPt+3+vKvO6ZV4OGSt45b E45tcaZeoEooCM6gnzE/tITBEOZKWrXE+kkyhjbMi1itA6FQ4r5z2sD5otBwObkNY4lh qQJw==; dara=google.com ARC-Authentication-Results: i=1; gmr-mx.google.com; dkim=pass header.i=@gmail.com header.s=20230601 header.b=e0fWTdhp; spf=pass (google.com: domain of jonasd.nick@gmail.com designates 2a00:1450:4864:20::629 as permitted sender) smtp.mailfrom=jonasd.nick@gmail.com; dmarc=pass (p=NONE sp=QUARANTINE dis=NONE) header.from=gmail.com; dara=pass header.i=@googlegroups.com Received: from mail-ej1-x629.google.com (mail-ej1-x629.google.com. [2a00:1450:4864:20::629]) by gmr-mx.google.com with ESMTPS id ffacd0b85a97d-3a073bbf5e8si23209f8f.0.2025.04.25.09.41.16 for (version=TLS1_3 cipher=TLS_AES_128_GCM_SHA256 bits=128/128); Fri, 25 Apr 2025 09:41:16 -0700 (PDT) Received-SPF: pass (google.com: domain of jonasd.nick@gmail.com designates 2a00:1450:4864:20::629 as permitted sender) client-ip=2a00:1450:4864:20::629; Received: by mail-ej1-x629.google.com with SMTP id a640c23a62f3a-ac29fd22163so355843066b.3 for ; Fri, 25 Apr 2025 09:41:16 -0700 (PDT) X-Gm-Gg: ASbGnctT8TkDkDGD90TbscSLRiJOW8afMcYdvfNWiQ3hAGDq3fBgNwZaPBz5w1jrpE9 9YAJnGK04BGUYUA/RnpeY/k7ktEp/WXRHrqZA/1WK6X2SA4pCrTDavk4RXSyUE9ybIlspkZYqiz n7+CcMCP1NPBZSdi9MDseOqfR/lVKHfEulx9vqbHtLSoPEFdWXDijOv67DBuzqAwNvRwyikGXcg YajiOc98RFr8B70U0G5h6MdLBKsm7HYT5xDK3YoF0HhcuJvVVL4mXe6+dSL4QAHL63r7S1FsdqV 3uvH57kk9mErtKm/WXsT9cVSZERZr9TSlr5zm2JIqFJiflQg+UHZzLm0uDCe0nRwBjWt5bfCt3A = X-Received: by 2002:a17:906:9fd1:b0:abf:742e:1fd7 with SMTP id a640c23a62f3a-ace713dee1amr312454566b.57.1745599275483; Fri, 25 Apr 2025 09:41:15 -0700 (PDT) Received: from [10.11.10.42] (p57b13477.dip0.t-ipconnect.de. [87.177.52.119]) by smtp.googlemail.com with ESMTPSA id a640c23a62f3a-ace6e4e6f2csm161570866b.45.2025.04.25.09.41.14 for (version=TLS1_3 cipher=TLS_AES_128_GCM_SHA256 bits=128/128); Fri, 25 Apr 2025 09:41:14 -0700 (PDT) Sender: Jonas Nick Message-ID: <71efbf8d-9251-492e-a98f-11b128af4214@gmail.com> Date: Fri, 25 Apr 2025 16:41:13 +0000 MIME-Version: 1.0 User-Agent: Mozilla Thunderbird Subject: Re: [bitcoindev] Re: DahLIAS: Discrete Logarithm-Based Interactive Aggregate Signatures To: bitcoindev@googlegroups.com References: Content-Language: en-US From: Jonas Nick In-Reply-To: Content-Type: text/plain; charset="UTF-8"; format=flowed X-Original-Sender: jonasdnick@gmail.com X-Original-Authentication-Results: gmr-mx.google.com; dkim=pass header.i=@gmail.com header.s=20230601 header.b=e0fWTdhp; spf=pass (google.com: domain of jonasd.nick@gmail.com designates 2a00:1450:4864:20::629 as permitted sender) smtp.mailfrom=jonasd.nick@gmail.com; dmarc=pass (p=NONE sp=QUARANTINE dis=NONE) header.from=gmail.com; dara=pass header.i=@googlegroups.com Precedence: list Mailing-list: list bitcoindev@googlegroups.com; contact bitcoindev+owners@googlegroups.com List-ID: X-Google-Group-Id: 786775582512 List-Post: , List-Help: , List-Archive: , List-Unsubscribe: , X-Spam-Score: -0.5 (/) Yes, just one is needed and this is an optimization. The signer does not require every individual R1 value as input, only the R2 values. This is different to MuSig2, where both R1 and R2 can be aggregated by the coordinator. -- You received this message because you are subscribed to the Google Groups "Bitcoin Development Mailing List" group. To unsubscribe from this group and stop receiving emails from it, send an email to bitcoindev+unsubscribe@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/bitcoindev/71efbf8d-9251-492e-a98f-11b128af4214%40gmail.com.