diff --git a/src/crypto/public_key/post_quantum/kem/kem.js b/src/crypto/public_key/post_quantum/kem/kem.js index da38db8b8..2c93542f8 100644 --- a/src/crypto/public_key/post_quantum/kem/kem.js +++ b/src/crypto/public_key/post_quantum/kem/kem.js @@ -3,6 +3,7 @@ import * as mlKem from './ml_kem'; import * as aesKW from '../../../aes_kw'; import util from '../../../../util'; import enums from '../../../../enums'; +import hash from '../../../hash'; export async function generate(algo) { const { eccPublicKey, eccSecretKey } = await eccKem.generate(algo); @@ -28,19 +29,21 @@ export async function decrypt(algo, eccCipherText, mlkemCipherText, eccSecretKey } async function multiKeyCombine(algo, ecdhKeyShare, ecdhCipherText, ecdhPublicKey, mlkemKeyShare, mlkemCipherText, mlkemPublicKey) { - const { kmac256 } = await import('@noble/hashes/sha3-addons'); - - const key = util.concatUint8Array([mlkemKeyShare, ecdhKeyShare]); + // LAMPS-aligned and NIST compatible combiner, proposed in: https://mailarchive.ietf.org/arch/msg/openpgp/NMTCy707LICtxIhP3Xt1U5C8MF0/ + // 2a. KDF(mlkemSS || tradSS || tradCT || tradPK || Domain) + // where Domain is "Domain" for LAMPS, and "mlkemCT || mlkemPK || algId" for OpenPGP const encData = util.concatUint8Array([ - mlkemCipherText, + mlkemKeyShare, + ecdhKeyShare, ecdhCipherText, - mlkemPublicKey, ecdhPublicKey, + // domSep + mlkemCipherText, + mlkemPublicKey, new Uint8Array([algo]) ]); - const domainSeparation = util.encodeUTF8('OpenPGPCompositeKDFv1'); - const kek = kmac256(key, encData, { personalization: domainSeparation }); // output length: 256 bits + const kek = await hash.digest(enums.hash.sha3_256, encData); return kek; } diff --git a/test/crypto/postQuantum.js b/test/crypto/postQuantum.js index a1c899dea..2f58ae0d5 100644 --- a/test/crypto/postQuantum.js +++ b/test/crypto/postQuantum.js @@ -18,47 +18,48 @@ export default () => describe('PQC', function () { it('ML-KEM + X25519 - private key is correctly serialized using the seed instead of the expanded secret key material', async function () { const armoredKey = `-----BEGIN PGP PRIVATE KEY BLOCK----- -xUsGUdDGgBsAAAAgoqT/71tSJR8iwTTL04KHMCQPkA/hzws9IS9XIOaDeCQADJT8 -QsDoLSnhKcdIiebWP4SjTjripGF8Ts4ToMFQEMfCrwYfGwoAAABABYJR0MaAAwsJ -BwMVCggCFgACmwMCHgkioQZvmMbg5VVdnVgHJHsuCi6TZqsB2ingw/HQ6kw4sTQz -8QUnCQIHAgAAAABTCCAcorV7OTWoI+oc6cJHH7sQwt58r/zl67/IGhs4IriTdJDo -zEDjgfDQ+xdUnlNDAH26XFsCpuZlViHCWx7d2+UHYSl5RoXSl7nUJZwXD+Q14pJe -+pXhruANfqpjih0JfA7NLlBRQyB1c2VyIChUZXN0IEtleSkgPHBxYy10ZXN0LWtl -eUBleGFtcGxlLmNvbT7CmwYTGwoAAAAsBYJR0MaAAhkBIqEGb5jG4OVVXZ1YByR7 -Lgouk2arAdop4MPx0OpMOLE0M/EAAAAAdU0gQGuJLou9irG3sTNROnX/x4zsskxb -kkpcBQAzEVrH9u/T8HsDJwodnFZSoPvvvrJ6L64wItfdB6t4zAzd0YL76vTn+V4r -zIADNDy4WyqTeysUzJDQQDvLpuOJ2uK2uoIAx8RrBlHQxoBpAAAEwLnXFoEjTQ/Z -ow5/AEqq8vXgv0Kkvz3m9FSpXip7+MsTAVhfO8fOLsy2grZ1BZl0q2rBaRfPv/jF -4Fpq4lpfUdlZ8QCZ6nB/zGtmYAcQQ3qWjCZS8VJB6oC7hHoGOUOkRxIhZ5kaa9sy -juwe97eLz3l/HFwJOVZCj5ROpkCUBgW+7mwnqxCOWkl1A/gd9moaIFZhcPKVkxEn -ErYrRmGs0tzKaoBfejetTWMlw8bLQGWq+hC+wQBfSzNs1bmt2xO08DxZFZFyxSkI -xDUy/doh8HlWbdg65zwbZgC9Xfq1RAgpj2AT38MarlElJYqqpdgsI8pz0Qyg9rUp -I1iJRaIToNBzpBWyKkGC+hwyrgTNXRhANQZK8pkKMXGQffo93jJiBquiF7t8QFIE -SiJhiCrByCyCagpLhfG3/uQ4aNAxMhspK6amFAONLGwFLIVJIYwJBgtJstJSAOO5 -F4eSdYOVTsc015bNVWHD6aBG6RdInvEalRYA2vo43kJPJpXOWbGxrSN29fc4D4KM -qBQ11zuHwxcoUxvLoGlHF5xNU7skSsG8VKBz4suqagqLoWgMJkxs17Mj+/YNt/Uo -6cMBmOC6Dkgz1dIAQPCS93VRy5RnZ/ksOwNvojZrISG2qjK4zdM3oSbF6OQNpLst -GGajRpcrOzWJgXZ1w3ddZwll2DuY9/k4SypuritMljCh8EVb8YK5T1SmrEx4MZcU -eFE5M4uLdwWrvOeOPNJWn2OimJYW25q9X3a7cocItKQUL6Rog9WYzIeuyleATUlG -9kQarVZ9vLLLBpfFXdmuS6nIx0NIPYqrsktYKWkbMYimRRwJp8OUbXu/E9TB0tG5 -48NVYNVeBQSrgGK9cnAJSPVd1yiXivCzUTRZytCUrFeA6FUVJyOF0gFR5BIkQhcj -6zao5TdhFoURG/VI2ok42xtvK2MIdUGSecCN8cqUUclNe8YFVZRGUwiAapJTzvpF -kzO6otd99eJbuPyagjG6BadalZkuntllEzF3LamcllsgGMZkfjm3Y+df6KiStNlG -jXXL7oEXeRgSnWWhccVu/jot4JGoFKMK/UHBapG7GDuVKrWcNRiSHdZ09yJDxqEY -ZkEmESdzX7AB6nKN1yi0e2NChGgh2Ag5TTSfmVFHrPUytMBD7+VLLgfCn9XMiezN -FzdKwCUMWybF1fpur7aG5JalAEaJCvMhw4l8ovJGfBEV4rMvVwgb88svQTc3hIWV -0VNCYfSWkvxXy4AXeFQ1p6sKP4pt9wphdTo+fYm5krMQK7HHsixxFpzA9UNy7jxp -y8Wt+rKPc1Rk4wkPDPlziHmCqyOQoBQIqywyYlB0SJpZ7qgY4miGkMu4BNujOcoI -+HuaV1uS6Ax0dko2ycvC4zODUrahkKg8ZRPNhLmq05h7uTGjsudQ5iWQ7JKzUvPC -IjyLVZFqA/af22t6m8oZ/ZefCkgAHRAdGZGZvbxEUYNG3+U8uNqNIpV3oGFefKGt -dtq8b5HEp9xUDOOOPfVP3OSicnpI0FZV7IaTSRemrsFLV9UPeKo8jeyDFJQCvnQm -M5ygZYmysEiTmKnNX3I7xjhOXtkHGdsF/eatr8BoVWPQqqslLuFQ7bvNDj+JrFhp -H7SnPRs8wf0APxvBELBWHS358MzYhgHl2qlB98eNlpYONMLC1OKwcdZtBaQLK1mS -0E3CFsyhm8aNsed5h3INCONDDB69NDnKcECHyEHEmi80B3PrTSvQEhu86Icku7kE -ci7WflvsjTyVwpsGGBsKAAAALAWCUdDGgAKbDCKhBm+YxuDlVV2dWAckey4KLpNm -qwHaKeDD8dDqTDixNDPxAAAAANrrIF2vwK+ev6toBw/VGv6eWcvSqr1cCaNXR+z2 -R7sK+lxrgTGbHvqDFrevkCwv1wtJ2AY6uTkFzMTRN8ZafNdUc8oeR3FbfVNO0Phv -BoWQifC9dbHD5JNv0/6CMXFZagQABA== +xUsGZzYLOBsAAAAgdj3cZ7ajWo2Rp9HW1FmO+uU+0bHI6WPphZsmeX6TmrEA +Ract0FOCtNL6DMtjoswPgVsD08iHevGwXdnr+VFblwzCnQYfGwgAAAA+BYJn +Ngs4AwsJBwUVCAoMDgQWAAIBApsDAh4BIqEGqdIuP97wZlJUTahOvUhduKcM +ldD1l7GjdwqXcS8KY0kAAAAAcVIQMOfv4n2TnvjR3ws2sdMfQfjZPKlIP71B +cFt+YAYL11akty2zTAVCYrgmjowKuVFlDQZ/cdl4ZoMwltWNSNl8ZP3mVYOY +cBYi8kpm0BlusAfNDTxwcWNAdGVzdC5pdD7CiwYTGwgAAAAsBYJnNgs4AhkB +IqEGqdIuP97wZlJUTahOvUhduKcMldD1l7GjdwqXcS8KY0kAAAAAJOwQAqSp +aDIiFoNU4Cbdy5N2KVmUnFsheWyvibWMuReTkGFYkQug55fAx0DcKD1VXZJZ +6G/92UZGrGai3fEWOge97qWBM4ERMWaNiSlCGdIjmQjHxGsGZzYLOGkAAATA +H1srKY3CT0N/PKm4W5pWndDCTSgc3Lb0gDN8+Xjx1E2opDYSiFpXnJUWXCAi +uJduS6Dru2GbK5ixUaUYU1UgcIkYSEVysIR81TlEakWho2UZSC7E5F2Rt7oZ +dgAE0BKRkZNKtx+GsHn5m4+KTDCJFSJl+w/w5EYDIseFOAnD9jf8uUp9KrBJ +dbYnJhn8aWi6Onoj0GdpC5Nl1B4Zcyi3kRXKZx58GoLZU0UNAThgYwiagTcX +snB1YZgVy0ROdHsQyJovBM6IaIrmFxPXIE51e8k0xA6I9UjbYs2aiIjsMqCp +sLby986fuiR7gqRpHBd8uQ2wJnK4JUQDU6nUah6nA61WGh+O12P0RcGsUU0s +JBg8lWXnJlpjULrvOnsrlJo/kzUHNlDlmLBpmVKH2yQlcqJmelsptibQNnnr +yi9q1wOb06kUdicCsjXlobAW5AkDM0pjC4xcFWi7ogbpGXFIqcry+noqAwEt +2hwT1hBcG6jwF7bVlF7Lob3oxlut9kprKJ4Dhzn66aVekMXseJvXmCF3uzaY +6crm4svJNrQ69g7z8YFmJQ/lzBr9eX1/y06dlK5KcJPPRS69C6lICoeTBwzm +uyeoUoBM+FwG1ZapA8C+MpVrwgQErMu8SxGzMIwoWm/LM39tkxMSi5vmjLzv +OCmISqJCsRgumbn+s2qvGm+WrKsF4VB67Mm/hICWg7y4SgLguSqbCkDE40su +6n3wMMUvqAdLIqE8kXuNa4rH6MKAM25iFy3uIL7FWK4b5JB32p2JwcAD0XqR +8AMpKFCYx84x63J9lp5VTLHF+WHQ1piWjCeH6oo9yRifxqEDHGpX8VGR21YR +Y8LVRMsHqy/960aUIpICm0DKF0Ce65590nPdPLKLgKoBJluuqAJgJABfYw5f +y8aP9rOiFSM41rqdmmwCmgtqewDUiVlNy2wZOY7rqF09QhaZuZdY8XWn1ncl +x8m95ofdi0X32J5rEMAs+HcEqKq+qKZxW410BTJWA7wJ8SSWZ8pMF59FxRDG +xwkscb90IHeKiH8RYpnOfIooIVfiI0GhBrin5xqzsiqxxwG080htZ8uYWhEu +rCQZeQgLAjA46ElRVJYprEoIugEhWFOaETcg8H2gOVvwUAG6OJPxFRL21lbW ++qxhgB58CHPqBZeEqkRLqJI8UaFwpE974iBtnK3q8r8LZ3yE8YWy6Dr3QsMx ++VaKZo+TgpwUIK3qsb15cRo7vIoZkiqX40fG8IoL8IPEMMoYsBAao2YOlS2w +KBcm1R51OsO9fHoaC6BxdQKBuETdFCKqeBoDqAxtEs1KeC8TzIaDscDxhGvw +6JvJBj9EigBYuX3SRHfZFHNntESOsqtT2R4y5hBaSjspG2/BmUaEIRrI+or/ +VksBR3rgJbKdnMk5inrvKZucMqcJ8ap2FqBId1NKSU8IYi/UTB77lVmyaWYL +qJP1wYx+YUH3ApjAhVz8ELMIYpF2p1Wj8l0+clEBKQ0MiAkw1RWZLGpkoHem +01U30yfRUwJaU5M69KWoMqrQ+TvcF5aNA7JUWUSZVaJgV6LrwEeuQ6FYiFO9 +TM1wsnseYTqF24YyI29xO6xCDNU3yKBEPaOndzgqVUNXDr30tw9QQCFJ3fPB +sACCK43Eqs7pm7gb84kx/wSFn32mDXcO81jgPdCHaurz8ew9B61PoI3sr8ZU +6vJG5jXXw9Iw1D/5j/m534T9qL0guvo1m0y0AA8xmUuW9ho7XbN7G1C3wDvm +C4KgbF/9xyrCiwYYGwgAAAAsBYJnNgs4ApsMIqEGqdIuP97wZlJUTahOvUhd +uKcMldD1l7GjdwqXcS8KY0kAAAAABaUQ0q/MS6px7ZvldWABduvZUkTRBy58 +jYqVoAGXCiUtdIr7NZFriM9fyV4kIgC/lknD7hkShiEoUghKuldzt7pWUu4s +zdmQk3zZBuwE/KAXTAY= -----END PGP PRIVATE KEY BLOCK-----`; const { data: expectedBinaryKey } = await openpgp.unarmor(armoredKey); @@ -70,82 +71,81 @@ BoWQifC9dbHD5JNv0/6CMXFZagQABA== it('ML-KEM + X25519 - Test vector', async function () { const armoredMessage = `-----BEGIN PGP MESSAGE----- -wcPtBiEGVrSmanmpRfWJ0fSGnhAPXuAkNJhxdH1utflntzaDWSJpKMYMwW51QMqU -ybrp5IxkE11EchQ+4CJX4GR82u38j1TkkMTI0Q+AWKlxREu4kujxt/1OiaeIfvZy -+sd5N07Ee86U1boyzCj5ypd5l1W61BE1d9iOc1VTfbVUDy6c21KO6Pki2Ls8R6gH -zGK2FT2F3RHyHIsF0ae5Ctg52E82moqzj9KCKghrgQe/2rNDzRDH4hc0G+rh6sbu -tb0eDnDIp0fvx/6Zroj9AQuUonJYAKLKD4RCFaO9+eXsqhIGVNLNdsBm5cDhyy65 -TKrG5FLaCbnDLoCzn6zvw9JrYwnnyN+XCQd4cMU4rs9bTdFti6f1gxksqkm3ChVs -fjsT5QspDB6RBALSA0+O101ONuh+r0Cssl5rZvSf1f8B/n4j4tds4hUlaCREoGpn -igJpo0TYPb0b37AgElVf9BmqCxo4SceoT1Go1QgyUL+1WPsCueCzzoMXxA02niAD -rFHkIbg/9600HD5yiAAsFGPMH/8rdmSCamtOKQoQmPQY7MJOOqOjkxPZWb0waAL8 -dCe6D/yt1z07EVxbF2kAirRCYu396JJ3U0vTilxPi/7OoETCp2wUkKuxLAce9ul1 -LYEPY+XN+faacpl9xwBLLTBZA8OV7vD3MChPcTwZsrlQBA0UALbVyzwMBlzh086M -OmezZ36KaiTSEXn5zPxFt9b4q3HBks655hAwJ2+rAV9rJy4trXWEDlz86oOf7MP8 -gXxmbEetvDDSdnEpnxR5GwsqljnO8UhTVXXFsp0LNCORmwA+n1t8UjQssj9uwO2T -9Y9UJOKQosuSwDvCR64zOGTPwn1w6FSZK34hzeOYYaFTsZjP5QtkrIvvlXdkp/6f -2bL9S4dEaSjWZMoR0NSKtvoY6Vjj342tPlwUhS28uP8w5/MZJgX/vJHSZAoi7vCy -fMOklznFInSs85vADxGVxGuaAVZcz8KlGXkTH0EfhKRhOaRrZALID6jF363cwcB/ -i1YH56Fc5f8wixPwTu9ntZ36q/FMisQZKbJxA3YQO4XCSBzunYUqOFdtg3fJntnH -dHx6nQS0JXCkjDc7gd6Yr7NbcRWUidE/oHSBBpBwiRQju8M8cXaeHMzFczUQjPx/ -k8Xtr7gwEcVdGBdSbS0RBwVy5eiIGYVUAVTg8773bdhXvD4yTVRuPGbYm474MtlE -bgkUch8PxInr8+muA1AcKg3uqwWbcpX/Q56RHIYNbU22Vcl3Nq6UwKqqHaeKjdL4 -aHauPmHOWxgK+lHvZS2Lhg8T1Su0qsO0xOIeZpfOEAr+aNrjpGr7Bj5eOJOBjJQT -1jEHhgIK37QaplKTBf3kc/TH7w1AIpVuJPzi4IXGRy6uwvdfQuOAeYv1c5LnOsKH -dmTZgsg6tSOV+3eSKoQmnTecOoEddtVfQsXRx+QGxsbvSM2B5qyCSo8fFgbeCajs -yRdjjPV7A+exaF/WgAszi+nD/Zka0xIE3g1nCCSRn27NAtrM4jaNHlKg4DZNAC9u -3dsfp/lAeSjDHjkLzOQep10o7Gg+1qFvNwGjOvHCX+LyVEcGIlH1dF+JjfZobWMr -0sBWAgkCDDhxVuabuQ83wJb46Gor24w4/x4ugBmr7KrjzM14lyjnB8uDnTpkfpoB -L5vCzO7FQfnbUWha456roBnRAOUhcqGhdqTPChnrt/ie/PUSfWZlZZh9aS+U50eK -WGIJER2n2A1WfEnYfy155ipf3z1D+ritS9p7hzlVOQpb/xdVHnga9gfrpWljyX0L -YRIL7wh5YjHL940kwgDtA9ZWZ8R3PLPkgOE7Jw/xUTz+QXqRK4R9SubGttmoQy7Y -liWLjUnl5sbm/rsSqmAHdOdz4WYdwWO5eJoJ3/rH0uGZQEHQq6U/iYidTHp+OS8h -Ww4/1zLtOw89HhwLpSN0vk87TV3ZgYVTZlVFwOOEKasNf9VhWIvFS48= +wcPUA7w9P/Y4tvvTaUZQqpafFZ6WRHDl5y8FJcqxWgQ8kK3P++vG3p2aW0Vb +BuxUbAzplFMVjybzf8n0qa/92R6IeFKWMilaM+iAf81VyTIBv12lfQy27RFx +itM0v/CAWrEvPf1RkB0ZnEX9lKhIfBp7QRSVEp2QOh3pWtYQ6AkS0JtOGeiI +befPigAVtmDlnYHYYEFbrKlE8pvLF2bMCJkHredQue7AmsGLpnXZpna19rvG +3kB38YiM6777jxW8yb7h77jOZgnclJXYkSHly7LKa6z6omOYqn6rA5izbE0e +s/yqucighBVnjiwNEwrPlQbogh6EtRsGXkYLPGRSVSM2MCSsigl2Xs2cgWJV +7outF2Qr8BauBRqHW5ScJF/yAmVP7NfQ9PfoUPMiHFJE8U6ffow6lnNWzhn2 +Wqp8GkBccTmzwD/6XXf23yKGO6AIc1xvNpE99QBzTkPslPuXDiocMHfAXpbW +HzVyOwXu/tQmRNe+ISNpQsMmQDUM05kq0diazBXOiZGRMRFndEpa1Qhhgj7V +4GgLyr/HdylNbzbiUGFjovN8/pUwO6APu1jU/CmFEUrjjOFpXaOLZ6svt5mW +iNlVNfWVq35CrJdWVFInLjD/GmsQNSiPe34LcDS3TVRzAhS5HehTVrkFDOD+ +e7wBnHFKDquYTzc3pqP3gHmzCLueUfo3Z6cTgXz6T3+RlRfZDNQzLZ7XHC3W +VWuwjViv0mQncau6bCnhhCK4VwAqXCvjy9m598cqKQZ5Sf3DAGY1+ZGqbID+ +0zCdVKC0v4eUEGg2D9K1f1XiTfaJv6AO0sS5RqjAZxBpw2/m5ruxMyJxqTE1 +h0GZLEY1ZQKxe9E0bDvTi0ogbYicLEokgRyKN/ojZE+hwpA7msjLVV7E0tDg +rz8jxp4AwQ8O/FXX/X0Dp04QsZgJhdwEYt4HPTogSff/NaC8KNSTzxEvJIMa +N+dPAp3Ypz7pGU6y73odwBCJ58nAPaI06f3Ev4gWJai8sUxeHe6amQX+SYqL +jbTP838PgbRbNCwBUiH2I5WX2bdIeRbEiQerVr7f76Kpdo2FC93A8VlW/wyK +VYWINPBfB/ktLAzmohR9wq+E+uMCOnyz6+vE1Bf2fbljGBSBjyUwED07tlDd +B9EvUlLgr7TAiideveSXHAx0G0qK5NBzfoY3Ca3WETiqkDTWpBSPDQUsbXrF +u2QUJKIcXcQptuiC+nKFFbDoFvCJzgcuRS/H1ZyOcI0dgmx9T1GGrID65R0z +FqdpenxdaHncrMmOlYI/cwyrfhHV0wZB6Y0XAv5Ujwsfg0fdCxJclkAI1k/x +N2xIhjwFdh62sKZqCJgfgKlrkSv4DDUVAooR/yHIIKpeJQgC2ZUfL3XLNycJ +eBf5V5ZmyRhIVgAThhb4cGVtNahP0IuIHk7eMdALC5Yhl+PTlSlhqVkbyi05 +Ae7dcaTW/KAEzZw2mqvVQX2MABaShv49reFhsCfI7EWbdI0CpTQbrCxp9mTI +Lw2nVxF5SGApCQtVJ+cajQ48p2MNwYMbsnMU9oEjy89nXZfU0G3CBRnAnhUP +Sw5WYSDSOgGTtzkIxvyRfaLftZRNfT/5XmvtpCqVWwBKHJ1/qcLEIRWfenqT +M/UQCkZrgB2Ry+4Oc1hgibIUzOM= +=8HM/ -----END PGP MESSAGE-----`; const privateKey = await openpgp.readKey({ armoredKey: `-----BEGIN PGP PRIVATE KEY BLOCK----- -xUsGUdDGgBsAAAAgoqT/71tSJR8iwTTL04KHMCQPkA/hzws9IS9XIOaDeCQADJT8 -QsDoLSnhKcdIiebWP4SjTjripGF8Ts4ToMFQEMfCrwYfGwoAAABABYJR0MaAAwsJ -BwMVCggCFgACmwMCHgkioQZvmMbg5VVdnVgHJHsuCi6TZqsB2ingw/HQ6kw4sTQz -8QUnCQIHAgAAAABTCCAcorV7OTWoI+oc6cJHH7sQwt58r/zl67/IGhs4IriTdJDo -zEDjgfDQ+xdUnlNDAH26XFsCpuZlViHCWx7d2+UHYSl5RoXSl7nUJZwXD+Q14pJe -+pXhruANfqpjih0JfA7NLlBRQyB1c2VyIChUZXN0IEtleSkgPHBxYy10ZXN0LWtl -eUBleGFtcGxlLmNvbT7CmwYTGwoAAAAsBYJR0MaAAhkBIqEGb5jG4OVVXZ1YByR7 -Lgouk2arAdop4MPx0OpMOLE0M/EAAAAAdU0gQGuJLou9irG3sTNROnX/x4zsskxb -kkpcBQAzEVrH9u/T8HsDJwodnFZSoPvvvrJ6L64wItfdB6t4zAzd0YL76vTn+V4r -zIADNDy4WyqTeysUzJDQQDvLpuOJ2uK2uoIAx8RrBlHQxoBpAAAEwLnXFoEjTQ/Z -ow5/AEqq8vXgv0Kkvz3m9FSpXip7+MsTAVhfO8fOLsy2grZ1BZl0q2rBaRfPv/jF -4Fpq4lpfUdlZ8QCZ6nB/zGtmYAcQQ3qWjCZS8VJB6oC7hHoGOUOkRxIhZ5kaa9sy -juwe97eLz3l/HFwJOVZCj5ROpkCUBgW+7mwnqxCOWkl1A/gd9moaIFZhcPKVkxEn -ErYrRmGs0tzKaoBfejetTWMlw8bLQGWq+hC+wQBfSzNs1bmt2xO08DxZFZFyxSkI -xDUy/doh8HlWbdg65zwbZgC9Xfq1RAgpj2AT38MarlElJYqqpdgsI8pz0Qyg9rUp -I1iJRaIToNBzpBWyKkGC+hwyrgTNXRhANQZK8pkKMXGQffo93jJiBquiF7t8QFIE -SiJhiCrByCyCagpLhfG3/uQ4aNAxMhspK6amFAONLGwFLIVJIYwJBgtJstJSAOO5 -F4eSdYOVTsc015bNVWHD6aBG6RdInvEalRYA2vo43kJPJpXOWbGxrSN29fc4D4KM -qBQ11zuHwxcoUxvLoGlHF5xNU7skSsG8VKBz4suqagqLoWgMJkxs17Mj+/YNt/Uo -6cMBmOC6Dkgz1dIAQPCS93VRy5RnZ/ksOwNvojZrISG2qjK4zdM3oSbF6OQNpLst -GGajRpcrOzWJgXZ1w3ddZwll2DuY9/k4SypuritMljCh8EVb8YK5T1SmrEx4MZcU -eFE5M4uLdwWrvOeOPNJWn2OimJYW25q9X3a7cocItKQUL6Rog9WYzIeuyleATUlG -9kQarVZ9vLLLBpfFXdmuS6nIx0NIPYqrsktYKWkbMYimRRwJp8OUbXu/E9TB0tG5 -48NVYNVeBQSrgGK9cnAJSPVd1yiXivCzUTRZytCUrFeA6FUVJyOF0gFR5BIkQhcj -6zao5TdhFoURG/VI2ok42xtvK2MIdUGSecCN8cqUUclNe8YFVZRGUwiAapJTzvpF -kzO6otd99eJbuPyagjG6BadalZkuntllEzF3LamcllsgGMZkfjm3Y+df6KiStNlG -jXXL7oEXeRgSnWWhccVu/jot4JGoFKMK/UHBapG7GDuVKrWcNRiSHdZ09yJDxqEY -ZkEmESdzX7AB6nKN1yi0e2NChGgh2Ag5TTSfmVFHrPUytMBD7+VLLgfCn9XMiezN -FzdKwCUMWybF1fpur7aG5JalAEaJCvMhw4l8ovJGfBEV4rMvVwgb88svQTc3hIWV -0VNCYfSWkvxXy4AXeFQ1p6sKP4pt9wphdTo+fYm5krMQK7HHsixxFpzA9UNy7jxp -y8Wt+rKPc1Rk4wkPDPlziHmCqyOQoBQIqywyYlB0SJpZ7qgY4miGkMu4BNujOcoI -+HuaV1uS6Ax0dko2ycvC4zODUrahkKg8ZRPNhLmq05h7uTGjsudQ5iWQ7JKzUvPC -IjyLVZFqA/af22t6m8oZ/ZefCkgAHRAdGZGZvbxEUYNG3+U8uNqNIpV3oGFefKGt -dtq8b5HEp9xUDOOOPfVP3OSicnpI0FZV7IaTSRemrsFLV9UPeKo8jeyDFJQCvnQm -M5ygZYmysEiTmKnNX3I7xjhOXtkHGdsF/eatr8BoVWPQqqslLuFQ7bvNDj+JrFhp -H7SnPRs8wf0APxvBELBWHS358MzYhgHl2qlB98eNlpYONMLC1OKwcdZtBaQLK1mS -0E3CFsyhm8aNsed5h3INCONDDB69NDnKcECHyEHEmi80B3PrTSvQEhu86Icku7kE -ci7WflvsjTyVwpsGGBsKAAAALAWCUdDGgAKbDCKhBm+YxuDlVV2dWAckey4KLpNm -qwHaKeDD8dDqTDixNDPxAAAAANrrIF2vwK+ev6toBw/VGv6eWcvSqr1cCaNXR+z2 -R7sK+lxrgTGbHvqDFrevkCwv1wtJ2AY6uTkFzMTRN8ZafNdUc8oeR3FbfVNO0Phv -BoWQifC9dbHD5JNv0/6CMXFZagQABA== +xUsGZzYLOBsAAAAgdj3cZ7ajWo2Rp9HW1FmO+uU+0bHI6WPphZsmeX6TmrEA +Ract0FOCtNL6DMtjoswPgVsD08iHevGwXdnr+VFblwzCnQYfGwgAAAA+BYJn +Ngs4AwsJBwUVCAoMDgQWAAIBApsDAh4BIqEGqdIuP97wZlJUTahOvUhduKcM +ldD1l7GjdwqXcS8KY0kAAAAAcVIQMOfv4n2TnvjR3ws2sdMfQfjZPKlIP71B +cFt+YAYL11akty2zTAVCYrgmjowKuVFlDQZ/cdl4ZoMwltWNSNl8ZP3mVYOY +cBYi8kpm0BlusAfNDTxwcWNAdGVzdC5pdD7CiwYTGwgAAAAsBYJnNgs4AhkB +IqEGqdIuP97wZlJUTahOvUhduKcMldD1l7GjdwqXcS8KY0kAAAAAJOwQAqSp +aDIiFoNU4Cbdy5N2KVmUnFsheWyvibWMuReTkGFYkQug55fAx0DcKD1VXZJZ +6G/92UZGrGai3fEWOge97qWBM4ERMWaNiSlCGdIjmQjHxGsGZzYLOGkAAATA +H1srKY3CT0N/PKm4W5pWndDCTSgc3Lb0gDN8+Xjx1E2opDYSiFpXnJUWXCAi +uJduS6Dru2GbK5ixUaUYU1UgcIkYSEVysIR81TlEakWho2UZSC7E5F2Rt7oZ +dgAE0BKRkZNKtx+GsHn5m4+KTDCJFSJl+w/w5EYDIseFOAnD9jf8uUp9KrBJ +dbYnJhn8aWi6Onoj0GdpC5Nl1B4Zcyi3kRXKZx58GoLZU0UNAThgYwiagTcX +snB1YZgVy0ROdHsQyJovBM6IaIrmFxPXIE51e8k0xA6I9UjbYs2aiIjsMqCp +sLby986fuiR7gqRpHBd8uQ2wJnK4JUQDU6nUah6nA61WGh+O12P0RcGsUU0s +JBg8lWXnJlpjULrvOnsrlJo/kzUHNlDlmLBpmVKH2yQlcqJmelsptibQNnnr +yi9q1wOb06kUdicCsjXlobAW5AkDM0pjC4xcFWi7ogbpGXFIqcry+noqAwEt +2hwT1hBcG6jwF7bVlF7Lob3oxlut9kprKJ4Dhzn66aVekMXseJvXmCF3uzaY +6crm4svJNrQ69g7z8YFmJQ/lzBr9eX1/y06dlK5KcJPPRS69C6lICoeTBwzm +uyeoUoBM+FwG1ZapA8C+MpVrwgQErMu8SxGzMIwoWm/LM39tkxMSi5vmjLzv +OCmISqJCsRgumbn+s2qvGm+WrKsF4VB67Mm/hICWg7y4SgLguSqbCkDE40su +6n3wMMUvqAdLIqE8kXuNa4rH6MKAM25iFy3uIL7FWK4b5JB32p2JwcAD0XqR +8AMpKFCYx84x63J9lp5VTLHF+WHQ1piWjCeH6oo9yRifxqEDHGpX8VGR21YR +Y8LVRMsHqy/960aUIpICm0DKF0Ce65590nPdPLKLgKoBJluuqAJgJABfYw5f +y8aP9rOiFSM41rqdmmwCmgtqewDUiVlNy2wZOY7rqF09QhaZuZdY8XWn1ncl +x8m95ofdi0X32J5rEMAs+HcEqKq+qKZxW410BTJWA7wJ8SSWZ8pMF59FxRDG +xwkscb90IHeKiH8RYpnOfIooIVfiI0GhBrin5xqzsiqxxwG080htZ8uYWhEu +rCQZeQgLAjA46ElRVJYprEoIugEhWFOaETcg8H2gOVvwUAG6OJPxFRL21lbW ++qxhgB58CHPqBZeEqkRLqJI8UaFwpE974iBtnK3q8r8LZ3yE8YWy6Dr3QsMx ++VaKZo+TgpwUIK3qsb15cRo7vIoZkiqX40fG8IoL8IPEMMoYsBAao2YOlS2w +KBcm1R51OsO9fHoaC6BxdQKBuETdFCKqeBoDqAxtEs1KeC8TzIaDscDxhGvw +6JvJBj9EigBYuX3SRHfZFHNntESOsqtT2R4y5hBaSjspG2/BmUaEIRrI+or/ +VksBR3rgJbKdnMk5inrvKZucMqcJ8ap2FqBId1NKSU8IYi/UTB77lVmyaWYL +qJP1wYx+YUH3ApjAhVz8ELMIYpF2p1Wj8l0+clEBKQ0MiAkw1RWZLGpkoHem +01U30yfRUwJaU5M69KWoMqrQ+TvcF5aNA7JUWUSZVaJgV6LrwEeuQ6FYiFO9 +TM1wsnseYTqF24YyI29xO6xCDNU3yKBEPaOndzgqVUNXDr30tw9QQCFJ3fPB +sACCK43Eqs7pm7gb84kx/wSFn32mDXcO81jgPdCHaurz8ew9B61PoI3sr8ZU +6vJG5jXXw9Iw1D/5j/m534T9qL0guvo1m0y0AA8xmUuW9ho7XbN7G1C3wDvm +C4KgbF/9xyrCiwYYGwgAAAAsBYJnNgs4ApsMIqEGqdIuP97wZlJUTahOvUhd +uKcMldD1l7GjdwqXcS8KY0kAAAAABaUQ0q/MS6px7ZvldWABduvZUkTRBy58 +jYqVoAGXCiUtdIr7NZFriM9fyV4kIgC/lknD7hkShiEoUghKuldzt7pWUu4s +zdmQk3zZBuwE/KAXTAY= -----END PGP PRIVATE KEY BLOCK-----` });