Received: by 2002:ac0:de83:0:0:0:0:0 with SMTP id b3csp1465633imk; Mon, 4 Jul 2022 03:45:45 -0700 (PDT) X-Google-Smtp-Source: AGRyM1tqfP5ptOI+9McYMGq4LtM8U0JN/MA4jm5y6/hTi9dgIMytV6mGx1Rew/LBw439wLQwUG8u X-Received: by 2002:a05:6a00:1688:b0:517:cf7b:9293 with SMTP id k8-20020a056a00168800b00517cf7b9293mr35042934pfc.7.1656931544925; Mon, 04 Jul 2022 03:45:44 -0700 (PDT) ARC-Seal: i=1; a=rsa-sha256; t=1656931544; cv=none; d=google.com; s=arc-20160816; b=AP8sfJjuvdWB4EJN/Jix2YnukJ99EIcNaBWAgchi4inACXSFY/102hC/X3PtNCEuNo 3kdoEitobPeSO2+a5BCff6W8yJYFOUlYPyJe7NrlV+fF3ox/sSy0bQKhIDSAZ8TG18Ue PfiGPeuK08OfEw3ZZhLbp07lpKcMAJTQT13i/pDCZubQ5Plo25DYjjHDF9LWsHLwPaNd WPNGwsUEcMxK0W2HN2EMP0x8khg8D5U97AZ8qRtRoRv+Iazm4eTZ7FgBqFs+1TYoosLu 5YaYkHZoR6UF+5AEuPxhc6p6uHyImv4ReTq7Acft12wVJ2VwsmTQ7uQICafCtzfyCIv3 rc9w== ARC-Message-Signature: i=1; a=rsa-sha256; c=relaxed/relaxed; d=google.com; s=arc-20160816; h=list-id:precedence:content-transfer-encoding:mime-version :message-id:date:subject:cc:to:from:dkim-signature; bh=xstXuQFEXFtnTOFjE454PlrhjyKfI8jJWfJjAgVhbFI=; b=rr8RTXdm5MWqzdvfkFsaR6f20QgCC0zz4VfRHASpwes68nuZ4hpvgkdsd1mJve8NU8 aRPzN4W+PsAQCy+8FILntihZ5S6bScQvriVLdkgdcwhbVWgQneZU2K/finseepgwYTJ8 sv2rnRkkbpzPKmHznEbZeGaeWAT7U5vbB1yoZlNS41PnRgNRbV1OInklS8NngjC5fS8i ucrBKSl69Ao0HZtupruLmx2K9ffDPTMbph9S4z5y4WofdXFpAxS7QXVpoBdaXhXIWjYT 7Od7Ky7eHJ2ofkDP5ZcpCBAywSCrFPsYNfJzmG15FJq0PIoqWPHdiIjHdA1bKkJtCmEV XpxQ== ARC-Authentication-Results: i=1; mx.google.com; dkim=pass header.i=@cloudflare.com header.s=google header.b=DyWP3RSj; spf=pass (google.com: domain of linux-crypto-owner@vger.kernel.org designates 2620:137:e000::1:20 as permitted sender) smtp.mailfrom=linux-crypto-owner@vger.kernel.org; dmarc=pass (p=REJECT sp=REJECT dis=NONE) header.from=cloudflare.com Return-Path: Received: from out1.vger.email (out1.vger.email. [2620:137:e000::1:20]) by mx.google.com with ESMTP id a8-20020a630b48000000b0040d33bb274bsi40514768pgl.321.2022.07.04.03.45.23; Mon, 04 Jul 2022 03:45:44 -0700 (PDT) Received-SPF: pass (google.com: domain of linux-crypto-owner@vger.kernel.org designates 2620:137:e000::1:20 as permitted sender) client-ip=2620:137:e000::1:20; Authentication-Results: mx.google.com; dkim=pass header.i=@cloudflare.com header.s=google header.b=DyWP3RSj; spf=pass (google.com: domain of linux-crypto-owner@vger.kernel.org designates 2620:137:e000::1:20 as permitted sender) smtp.mailfrom=linux-crypto-owner@vger.kernel.org; dmarc=pass (p=REJECT sp=REJECT dis=NONE) header.from=cloudflare.com Received: (majordomo@vger.kernel.org) by vger.kernel.org via listexpand id S234261AbiGDKjI (ORCPT + 99 others); Mon, 4 Jul 2022 06:39:08 -0400 Received: from lindbergh.monkeyblade.net ([23.128.96.19]:35120 "EHLO lindbergh.monkeyblade.net" rhost-flags-OK-OK-OK-OK) by vger.kernel.org with ESMTP id S233726AbiGDKjH (ORCPT ); Mon, 4 Jul 2022 06:39:07 -0400 Received: from mail-wr1-x42f.google.com (mail-wr1-x42f.google.com [IPv6:2a00:1450:4864:20::42f]) by lindbergh.monkeyblade.net (Postfix) with ESMTPS id CEF44DFF6 for ; Mon, 4 Jul 2022 03:39:05 -0700 (PDT) Received: by mail-wr1-x42f.google.com with SMTP id e28so12900965wra.0 for ; Mon, 04 Jul 2022 03:39:05 -0700 (PDT) DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=cloudflare.com; s=google; h=from:to:cc:subject:date:message-id:mime-version :content-transfer-encoding; bh=xstXuQFEXFtnTOFjE454PlrhjyKfI8jJWfJjAgVhbFI=; b=DyWP3RSjxzbq8OGsye4TKLFSMZXihhGGQVYmo4SnHvvS7Io2kF8xiYdAp35PNaWs8+ cKmt9huTwN4VIDzfVKCiNNhsLbZ5DVFKYR698NpImfsXi6Q3s7PH9GYs10Tx4c+cMz0G vs6E49VHaawXqJqkh4bvXuM45d7MxXd1M8/+o= X-Google-DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=1e100.net; s=20210112; h=x-gm-message-state:from:to:cc:subject:date:message-id:mime-version :content-transfer-encoding; bh=xstXuQFEXFtnTOFjE454PlrhjyKfI8jJWfJjAgVhbFI=; b=yIv2+SAHelt2AtgyNXBW1DcdGhCkuc+Vq3R+qqAnLwv8Rwq9raiFQYBcBeDxidCu4Q PI0wrhtarFM7c0Qa8sHnnnP35QLVu8tIeXzw2DSmVTGW1J7ZaOgQLQeBnlrYV5AQv8Zu FCU4CF22N7IHqR0EilSqUttnHAKRCCBvGU9DA34w1RDPwGXI0kZlaeVA9O8mcn5Tw2W1 iu+1+jNowtWj8N2l2CYYHbE3JxCpDg7rWct2hR5zgUnRaGPNMGjrz6n7zzvGxukEAYKj JtwkB/cY1OAdfYcAJVxCAl+T1ZCnLgzdDyWHedm991jeoRhUODoUDeI0mV+DMOZA4aGS NjDA== X-Gm-Message-State: AJIora8id3/RirhBziM+uOzh7DTKfuM38klMk5gmdezVvE/b1fuJuOsB ucCr9UUaNfuLsf69WDYy3ESujQ== X-Received: by 2002:adf:cf03:0:b0:21d:1864:314e with SMTP id o3-20020adfcf03000000b0021d1864314emr25993121wrj.459.1656931144190; Mon, 04 Jul 2022 03:39:04 -0700 (PDT) Received: from localhost.localdomain ([8.26.180.25]) by smtp.gmail.com with ESMTPSA id f4-20020adfe904000000b0021d639e3daasm5621407wrm.30.2022.07.04.03.39.03 (version=TLS1_3 cipher=TLS_AES_256_GCM_SHA384 bits=256/256); Mon, 04 Jul 2022 03:39:03 -0700 (PDT) From: Ignat Korchagin To: Herbert Xu , "David S . Miller" , linux-crypto@vger.kernel.org, linux-kernel@vger.kernel.org Cc: kernel-team@cloudflare.com, Eric Biggers , Giovanni Cabiddu , Ignat Korchagin , Tasmiya Nalatwad Subject: [PATCH v2] crypto: testmgr - populate RSA CRT parameters in RSA test vectors Date: Mon, 4 Jul 2022 11:38:40 +0100 Message-Id: <20220704103840.924-1-ignat@cloudflare.com> X-Mailer: git-send-email 2.30.2 MIME-Version: 1.0 Content-Transfer-Encoding: 8bit X-Spam-Status: No, score=-2.1 required=5.0 tests=BAYES_00,DKIMWL_WL_MED, DKIM_SIGNED,DKIM_VALID,DKIM_VALID_AU,DKIM_VALID_EF,RCVD_IN_DNSWL_NONE, SPF_HELO_NONE,SPF_NONE,T_SCC_BODY_TEXT_LINE autolearn=ham autolearn_force=no version=3.4.6 X-Spam-Checker-Version: SpamAssassin 3.4.6 (2021-04-09) on lindbergh.monkeyblade.net Precedence: bulk List-ID: X-Mailing-List: linux-crypto@vger.kernel.org Changes from v1: * replace some accidental spaces with tabs In commit f145d411a67e ("crypto: rsa - implement Chinese Remainder Theorem for faster private key operations") we have started to use the additional primes and coefficients for RSA private key operations. However, these additional parameters are not present (defined as 0 integers) in the RSA test vectors. Some parameters were borrowed from OpenSSL, so I was able to find the source. I could not find the public source for 1 vector though, so had to recover the parameters by implementing Appendix C from [1]. [1]: https://nvlpubs.nist.gov/nistpubs/SpecialPublications/NIST.SP.800-56Br1.pdf Fixes: f145d411a67e ("crypto: rsa - implement Chinese Remainder Theorem for faster private key operations") Reported-by: Tasmiya Nalatwad Signed-off-by: Ignat Korchagin --- crypto/testmgr.h | 121 +++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 100 insertions(+), 21 deletions(-) diff --git a/crypto/testmgr.h b/crypto/testmgr.h index 8e2dce86dd48..f1dffdace219 100644 --- a/crypto/testmgr.h +++ b/crypto/testmgr.h @@ -185,7 +185,7 @@ static const struct akcipher_testvec rsa_tv_template[] = { { #ifndef CONFIG_CRYPTO_FIPS .key = - "\x30\x81\x9A" /* sequence of 154 bytes */ + "\x30\x82\x01\x38" /* sequence of 312 bytes */ "\x02\x01\x00" /* version - integer of 1 byte */ "\x02\x41" /* modulus - integer of 65 bytes */ "\x00\xAA\x36\xAB\xCE\x88\xAC\xFD\xFF\x55\x52\x3C\x7F\xC4\x52\x3F" @@ -199,23 +199,36 @@ static const struct akcipher_testvec rsa_tv_template[] = { "\xC2\xCD\x2D\xFF\x43\x40\x98\xCD\x20\xD8\xA1\x38\xD0\x90\xBF\x64" "\x79\x7C\x3F\xA7\xA2\xCD\xCB\x3C\xD1\xE0\xBD\xBA\x26\x54\xB4\xF9" "\xDF\x8E\x8A\xE5\x9D\x73\x3D\x9F\x33\xB3\x01\x62\x4A\xFD\x1D\x51" - "\x02\x01\x00" /* prime1 - integer of 1 byte */ - "\x02\x01\x00" /* prime2 - integer of 1 byte */ - "\x02\x01\x00" /* exponent1 - integer of 1 byte */ - "\x02\x01\x00" /* exponent2 - integer of 1 byte */ - "\x02\x01\x00", /* coefficient - integer of 1 byte */ + "\x02\x21" /* prime1 - integer of 33 bytes */ + "\x00\xD8\x40\xB4\x16\x66\xB4\x2E\x92\xEA\x0D\xA3\xB4\x32\x04\xB5" + "\xCF\xCE\x33\x52\x52\x4D\x04\x16\xA5\xA4\x41\xE7\x00\xAF\x46\x12" + "\x0D" + "\x02\x21" /* prime2 - integer of 33 bytes */ + "\x00\xC9\x7F\xB1\xF0\x27\xF4\x53\xF6\x34\x12\x33\xEA\xAA\xD1\xD9" + "\x35\x3F\x6C\x42\xD0\x88\x66\xB1\xD0\x5A\x0F\x20\x35\x02\x8B\x9D" + "\x89" + "\x02\x20" /* exponent1 - integer of 32 bytes */ + "\x59\x0B\x95\x72\xA2\xC2\xA9\xC4\x06\x05\x9D\xC2\xAB\x2F\x1D\xAF" + "\xEB\x7E\x8B\x4F\x10\xA7\x54\x9E\x8E\xED\xF5\xB4\xFC\xE0\x9E\x05" + "\x02\x21" /* exponent2 - integer of 33 bytes */ + "\x00\x8E\x3C\x05\x21\xFE\x15\xE0\xEA\x06\xA3\x6F\xF0\xF1\x0C\x99" + "\x52\xC3\x5B\x7A\x75\x14\xFD\x32\x38\xB8\x0A\xAD\x52\x98\x62\x8D" + "\x51" + "\x02\x20" /* coefficient - integer of 32 bytes */ + "\x36\x3F\xF7\x18\x9D\xA8\xE9\x0B\x1D\x34\x1F\x71\xD0\x9B\x76\xA8" + "\xA9\x43\xE1\x1D\x10\xB2\x4D\x24\x9F\x2D\xEA\xFE\xF8\x0C\x18\x26", .m = "\x54\x85\x9b\x34\x2c\x49\xea\x2a", .c = "\x63\x1c\xcd\x7b\xe1\x7e\xe4\xde\xc9\xa8\x89\xa1\x74\xcb\x3c\x63" "\x7d\x24\xec\x83\xc3\x15\xe4\x7f\x73\x05\x34\xd1\xec\x22\xbb\x8a" "\x5e\x32\x39\x6d\xc1\x1d\x7d\x50\x3b\x9f\x7a\xad\xf0\x2e\x25\x53" "\x9f\x6e\xbd\x4c\x55\x84\x0c\x9b\xcf\x1a\x4b\x51\x1e\x9e\x0c\x06", - .key_len = 157, + .key_len = 316, .m_size = 8, .c_size = 64, }, { .key = - "\x30\x82\x01\x1D" /* sequence of 285 bytes */ + "\x30\x82\x02\x5B" /* sequence of 603 bytes */ "\x02\x01\x00" /* version - integer of 1 byte */ "\x02\x81\x81" /* modulus - integer of 129 bytes */ "\x00\xBB\xF8\x2F\x09\x06\x82\xCE\x9C\x23\x38\xAC\x2B\x9D\xA8\x71" @@ -238,12 +251,35 @@ static const struct akcipher_testvec rsa_tv_template[] = { "\x93\x99\x26\xED\x4F\x74\xA1\x3E\xDD\xFB\xE1\xA1\xCE\xCC\x48\x94" "\xAF\x94\x28\xC2\xB7\xB8\x88\x3F\xE4\x46\x3A\x4B\xC8\x5B\x1C\xB3" "\xC1" - "\x02\x01\x00" /* prime1 - integer of 1 byte */ - "\x02\x01\x00" /* prime2 - integer of 1 byte */ - "\x02\x01\x00" /* exponent1 - integer of 1 byte */ - "\x02\x01\x00" /* exponent2 - integer of 1 byte */ - "\x02\x01\x00", /* coefficient - integer of 1 byte */ - .key_len = 289, + "\x02\x41" /* prime1 - integer of 65 bytes */ + "\x00\xEE\xCF\xAE\x81\xB1\xB9\xB3\xC9\x08\x81\x0B\x10\xA1\xB5\x60" + "\x01\x99\xEB\x9F\x44\xAE\xF4\xFD\xA4\x93\xB8\x1A\x9E\x3D\x84\xF6" + "\x32\x12\x4E\xF0\x23\x6E\x5D\x1E\x3B\x7E\x28\xFA\xE7\xAA\x04\x0A" + "\x2D\x5B\x25\x21\x76\x45\x9D\x1F\x39\x75\x41\xBA\x2A\x58\xFB\x65" + "\x99" + "\x02\x41" /* prime2 - integer of 65 bytes */ + "\x00\xC9\x7F\xB1\xF0\x27\xF4\x53\xF6\x34\x12\x33\xEA\xAA\xD1\xD9" + "\x35\x3F\x6C\x42\xD0\x88\x66\xB1\xD0\x5A\x0F\x20\x35\x02\x8B\x9D" + "\x86\x98\x40\xB4\x16\x66\xB4\x2E\x92\xEA\x0D\xA3\xB4\x32\x04\xB5" + "\xCF\xCE\x33\x52\x52\x4D\x04\x16\xA5\xA4\x41\xE7\x00\xAF\x46\x15" + "\x03" + "\x02\x40" /* exponent1 - integer of 64 bytes */ + "\x54\x49\x4C\xA6\x3E\xBA\x03\x37\xE4\xE2\x40\x23\xFC\xD6\x9A\x5A" + "\xEB\x07\xDD\xDC\x01\x83\xA4\xD0\xAC\x9B\x54\xB0\x51\xF2\xB1\x3E" + "\xD9\x49\x09\x75\xEA\xB7\x74\x14\xFF\x59\xC1\xF7\x69\x2E\x9A\x2E" + "\x20\x2B\x38\xFC\x91\x0A\x47\x41\x74\xAD\xC9\x3C\x1F\x67\xC9\x81" + "\x02\x40" /* exponent2 - integer of 64 bytes */ + "\x47\x1E\x02\x90\xFF\x0A\xF0\x75\x03\x51\xB7\xF8\x78\x86\x4C\xA9" + "\x61\xAD\xBD\x3A\x8A\x7E\x99\x1C\x5C\x05\x56\xA9\x4C\x31\x46\xA7" + "\xF9\x80\x3F\x8F\x6F\x8A\xE3\x42\xE9\x31\xFD\x8A\xE4\x7A\x22\x0D" + "\x1B\x99\xA4\x95\x84\x98\x07\xFE\x39\xF9\x24\x5A\x98\x36\xDA\x3D" + "\x02\x41", /* coefficient - integer of 65 bytes */ + "\x00\xB0\x6C\x4F\xDA\xBB\x63\x01\x19\x8D\x26\x5B\xDB\xAE\x94\x23" + "\xB3\x80\xF2\x71\xF7\x34\x53\x88\x50\x93\x07\x7F\xCD\x39\xE2\x11" + "\x9F\xC9\x86\x32\x15\x4F\x58\x83\xB1\x67\xA9\x67\xBF\x40\x2B\x4E" + "\x9E\x2E\x0F\x96\x56\xE6\x98\xEA\x36\x66\xED\xFB\x25\x79\x80\x39" + "\xF7", + .key_len = 607, .m = "\x54\x85\x9b\x34\x2c\x49\xea\x2a", .c = "\x74\x1b\x55\xac\x47\xb5\x08\x0a\x6e\x2b\x2d\xf7\x94\xb8\x8a\x95" @@ -259,7 +295,7 @@ static const struct akcipher_testvec rsa_tv_template[] = { }, { #endif .key = - "\x30\x82\x02\x20" /* sequence of 544 bytes */ + "\x30\x82\x04\xA3" /* sequence of 1187 bytes */ "\x02\x01\x00" /* version - integer of 1 byte */ "\x02\x82\x01\x01\x00" /* modulus - integer of 256 bytes */ "\xDB\x10\x1A\xC2\xA3\xF1\xDC\xFF\x13\x6B\xED\x44\xDF\xF0\x02\x6D" @@ -296,12 +332,55 @@ static const struct akcipher_testvec rsa_tv_template[] = { "\x62\xFF\xE9\x46\xB8\xD8\x44\xDB\xA5\xCC\x31\x54\x34\xCE\x3E\x82" "\xD6\xBF\x7A\x0B\x64\x21\x6D\x88\x7E\x5B\x45\x12\x1E\x63\x8D\x49" "\xA7\x1D\xD9\x1E\x06\xCD\xE8\xBA\x2C\x8C\x69\x32\xEA\xBE\x60\x71" - "\x02\x01\x00" /* prime1 - integer of 1 byte */ - "\x02\x01\x00" /* prime2 - integer of 1 byte */ - "\x02\x01\x00" /* exponent1 - integer of 1 byte */ - "\x02\x01\x00" /* exponent2 - integer of 1 byte */ - "\x02\x01\x00", /* coefficient - integer of 1 byte */ - .key_len = 548, + "\x02\x81\x81" /* prime1 - integer of 129 bytes */ + "\x00\xFA\xAC\xE1\x37\x5E\x32\x11\x34\xC6\x72\x58\x2D\x91\x06\x3E" + "\x77\xE7\x11\x21\xCD\x4A\xF8\xA4\x3F\x0F\xEF\x31\xE3\xF3\x55\xA0" + "\xB9\xAC\xB6\xCB\xBB\x41\xD0\x32\x81\x9A\x8F\x7A\x99\x30\x77\x6C" + "\x68\x27\xE2\x96\xB5\x72\xC9\xC3\xD4\x42\xAA\xAA\xCA\x95\x8F\xFF" + "\xC9\x9B\x52\x34\x30\x1D\xCF\xFE\xCF\x3C\x56\x68\x6E\xEF\xE7\x6C" + "\xD7\xFB\x99\xF5\x4A\xA5\x21\x1F\x2B\xEA\x93\xE8\x98\x26\xC4\x6E" + "\x42\x21\x5E\xA0\xA1\x2A\x58\x35\xBB\x10\xE7\xBA\x27\x0A\x3B\xB3" + "\xAF\xE2\x75\x36\x04\xAC\x56\xA0\xAB\x52\xDE\xCE\xDD\x2C\x28\x77" + "\x03" + "\x02\x81\x81" /* prime2 - integer of 129 bytes */ + "\x00\xDF\xB7\x52\xB6\xD7\xC0\xE2\x96\xE7\xC9\xFE\x5D\x71\x5A\xC4" + "\x40\x96\x2F\xE5\x87\xEA\xF3\xA5\x77\x11\x67\x3C\x8D\x56\x08\xA7" + "\xB5\x67\xFA\x37\xA8\xB8\xCF\x61\xE8\x63\xD8\x38\x06\x21\x2B\x92" + "\x09\xA6\x39\x3A\xEA\xA8\xB4\x45\x4B\x36\x10\x4C\xE4\x00\x66\x71" + "\x65\xF8\x0B\x94\x59\x4F\x8C\xFD\xD5\x34\xA2\xE7\x62\x84\x0A\xA7" + "\xBB\xDB\xD9\x8A\xCD\x05\xE1\xCC\x57\x7B\xF1\xF1\x1F\x11\x9D\xBA" + "\x3E\x45\x18\x99\x1B\x41\x64\x43\xEE\x97\x5D\x77\x13\x5B\x74\x69" + "\x73\x87\x95\x05\x07\xBE\x45\x07\x17\x7E\x4A\x69\x22\xF3\xDB\x05" + "\x39" + "\x02\x81\x80" /* exponent1 - integer of 128 bytes */ + "\x5E\xD8\xDC\xDA\x53\x44\xC4\x67\xE0\x92\x51\x34\xE4\x83\xA5\x4D" + "\x3E\xDB\xA7\x9B\x82\xBB\x73\x81\xFC\xE8\x77\x4B\x15\xBE\x17\x73" + "\x49\x9B\x5C\x98\xBC\xBD\x26\xEF\x0C\xE9\x2E\xED\x19\x7E\x86\x41" + "\x1E\x9E\x48\x81\xDD\x2D\xE4\x6F\xC2\xCD\xCA\x93\x9E\x65\x7E\xD5" + "\xEC\x73\xFD\x15\x1B\xA2\xA0\x7A\x0F\x0D\x6E\xB4\x53\x07\x90\x92" + "\x64\x3B\x8B\xA9\x33\xB3\xC5\x94\x9B\x4C\x5D\x9C\x7C\x46\xA4\xA5" + "\x56\xF4\xF3\xF8\x27\x0A\x7B\x42\x0D\x92\x70\x47\xE7\x42\x51\xA9" + "\xC2\x18\xB1\x58\xB1\x50\x91\xB8\x61\x41\xB6\xA9\xCE\xD4\x7C\xBB" + "\x02\x81\x80" /* exponent2 - integer of 128 bytes */ + "\x54\x09\x1F\x0F\x03\xD8\xB6\xC5\x0C\xE8\xB9\x9E\x0C\x38\x96\x43" + "\xD4\xA6\xC5\x47\xDB\x20\x0E\xE5\xBD\x29\xD4\x7B\x1A\xF8\x41\x57" + "\x49\x69\x9A\x82\xCC\x79\x4A\x43\xEB\x4D\x8B\x2D\xF2\x43\xD5\xA5" + "\xBE\x44\xFD\x36\xAC\x8C\x9B\x02\xF7\x9A\x03\xE8\x19\xA6\x61\xAE" + "\x76\x10\x93\x77\x41\x04\xAB\x4C\xED\x6A\xCC\x14\x1B\x99\x8D\x0C" + "\x6A\x37\x3B\x86\x6C\x51\x37\x5B\x1D\x79\xF2\xA3\x43\x10\xC6\xA7" + "\x21\x79\x6D\xF9\xE9\x04\x6A\xE8\x32\xFF\xAE\xFD\x1C\x7B\x8C\x29" + "\x13\xA3\x0C\xB2\xAD\xEC\x6C\x0F\x8D\x27\x12\x7B\x48\xB2\xDB\x31" + "\x02\x81\x81", /* coefficient - integer of 129 bytes */ + "\x00\x8D\x1B\x05\xCA\x24\x1F\x0C\x53\x19\x52\x74\x63\x21\xFA\x78" + "\x46\x79\xAF\x5C\xDE\x30\xA4\x6C\x20\x38\xE6\x97\x39\xB8\x7A\x70" + "\x0D\x8B\x6C\x6D\x13\x74\xD5\x1C\xDE\xA9\xF4\x60\x37\xFE\x68\x77" + "\x5E\x0B\x4E\x5E\x03\x31\x30\xDF\xD6\xAE\x85\xD0\x81\xBB\x61\xC7" + "\xB1\x04\x5A\xC4\x6D\x56\x1C\xD9\x64\xE7\x85\x7F\x88\x91\xC9\x60" + "\x28\x05\xE2\xC6\x24\x8F\xDD\x61\x64\xD8\x09\xDE\x7E\xD3\x4A\x61" + "\x1A\xD3\x73\x58\x4B\xD8\xA0\x54\x25\x48\x83\x6F\x82\x6C\xAF\x36" + "\x51\x2A\x5D\x14\x2F\x41\x25\x00\xDD\xF8\xF3\x95\xFE\x31\x25\x50" + "\x12", + .key_len = 1191, .m = "\x54\x85\x9b\x34\x2c\x49\xea\x2a", .c = "\xb2\x97\x76\xb4\xae\x3e\x38\x3c\x7e\x64\x1f\xcc\xa2\x7f\xf6\xbe" -- 2.36.1