x25519_test.json (234805B)
1 { 2 "algorithm" : "XDH", 3 "generatorVersion" : "0.8r12", 4 "numberOfTests" : 518, 5 "header" : [ 6 "Test vectors of type XdhComp are intended for tests that verify the", 7 "computation of and Xdh key exchange." 8 ], 9 "notes" : { 10 "LowOrderPublic" : "The curves and its twists contain some points of low order. This test vector contains a public key with such a point. While many libraries reject such public keys, doing so is not a strict requirement according to RFC 7748.", 11 "NonCanonicalPublic" : "The public key is in non-canonical form. RFC 7749, section 5 defines the value that this public key represents. Section 7 of the same RFC recommends accepting such keys. If a non-canonical key is accepted then it must follow the RFC.", 12 "SmallPublicKey" : "The public key is insecure and does not belong to a valid private key. Some libraries reject such keys.", 13 "Twist" : "Public keys are either points on a given curve or points on its twist. The functions X25519 and X448 are defined for points on a twist with the goal that the output of computations do not leak private keys. Implementations may accept or reject points on a twist. If a point multiplication is performed then it is important that the result is correct, since otherwise attacks with invalid keys are possible.", 14 "ZeroSharedSecret" : "Some libraries include a check that the shared secret is not all-zero. This check is described in Section 6.1 of RFC 7748. " 15 }, 16 "schema" : "xdh_comp_schema.json", 17 "testGroups" : [ 18 { 19 "curve" : "curve25519", 20 "type" : "XdhComp", 21 "tests" : [ 22 { 23 "tcId" : 1, 24 "comment" : "normal case", 25 "public" : "504a36999f489cd2fdbc08baff3d88fa00569ba986cba22548ffde80f9806829", 26 "private" : "c8a9d5a91091ad851c668b0736c1c9a02936c0d3ad62670858088047ba057475", 27 "shared" : "436a2c040cf45fea9b29a0cb81b1f41458f863d0d61b453d0a982720d6d61320", 28 "result" : "valid", 29 "flags" : [] 30 }, 31 { 32 "tcId" : 2, 33 "comment" : "public key on twist", 34 "public" : "63aa40c6e38346c5caf23a6df0a5e6c80889a08647e551b3563449befcfc9733", 35 "private" : "d85d8c061a50804ac488ad774ac716c3f5ba714b2712e048491379a500211958", 36 "shared" : "279df67a7c4611db4708a0e8282b195e5ac0ed6f4b2f292c6fbd0acac30d1332", 37 "result" : "acceptable", 38 "flags" : [ 39 "Twist" 40 ] 41 }, 42 { 43 "tcId" : 3, 44 "comment" : "public key on twist", 45 "public" : "0f83c36fded9d32fadf4efa3ae93a90bb5cfa66893bc412c43fa7287dbb99779", 46 "private" : "c8b45bfd32e55325d9fd648cb302848039000b390e44d521e58aab3b29a6964b", 47 "shared" : "4bc7e01e7d83d6cf67632bf90033487a5fc29eba5328890ea7b1026d23b9a45f", 48 "result" : "acceptable", 49 "flags" : [ 50 "Twist" 51 ] 52 }, 53 { 54 "tcId" : 4, 55 "comment" : "public key on twist", 56 "public" : "0b8211a2b6049097f6871c6c052d3c5fc1ba17da9e32ae458403b05bb283092a", 57 "private" : "f876e34bcbe1f47fbc0fddfd7c1e1aa53d57bfe0f66d243067b424bb6210be51", 58 "shared" : "119d37ed4b109cbd6418b1f28dea83c836c844715cdf98a3a8c362191debd514", 59 "result" : "acceptable", 60 "flags" : [ 61 "Twist" 62 ] 63 }, 64 { 65 "tcId" : 5, 66 "comment" : "public key on twist", 67 "public" : "343ac20a3b9c6a27b1008176509ad30735856ec1c8d8fcae13912d08d152f46c", 68 "private" : "006ac1f3a653a4cdb1d37bba94738f8b957a57beb24d646e994dc29a276aad45", 69 "shared" : "cc4873aed3fcee4b3aaea7f0d20716b4276359081f634b7bea4b705bfc8a4d3e", 70 "result" : "acceptable", 71 "flags" : [ 72 "Twist" 73 ] 74 }, 75 { 76 "tcId" : 6, 77 "comment" : "public key on twist", 78 "public" : "fa695fc7be8d1be5bf704898f388c452bafdd3b8eae805f8681a8d15c2d4e142", 79 "private" : "08da77b26d06dff9d9f7fd4c5b3769f8cdd5b30516a5ab806be324ff3eb69e60", 80 "shared" : "b6f8e2fcb1affc79e2ff798319b2701139b95ad6dd07f05cbac78bd83edfd92e", 81 "result" : "acceptable", 82 "flags" : [ 83 "Twist" 84 ] 85 }, 86 { 87 "tcId" : 7, 88 "comment" : "public key on twist", 89 "public" : "0200000000000000000000000000000000000000000000000000000000000000", 90 "private" : "d03edde9f3e7b799045f9ac3793d4a9277dadeadc41bec0290f81f744f73775f", 91 "shared" : "b87a1722cc6c1e2feecb54e97abd5a22acc27616f78f6e315fd2b73d9f221e57", 92 "result" : "acceptable", 93 "flags" : [ 94 "Twist" 95 ] 96 }, 97 { 98 "tcId" : 8, 99 "comment" : "public key on twist", 100 "public" : "0300000000000000000000000000000000000000000000000000000000000000", 101 "private" : "e09d57a914e3c29036fd9a442ba526b5cdcdf28216153e636c10677acab6bd6a", 102 "shared" : "a29d8dad28d590cd3017aa97a4761f851bf1d3672b042a4256a45881e2ad9035", 103 "result" : "acceptable", 104 "flags" : [ 105 "Twist" 106 ] 107 }, 108 { 109 "tcId" : 9, 110 "comment" : "public key on twist", 111 "public" : "ff00000000000000000000000000000000000000000000000000000000000000", 112 "private" : "e0ed78e6ee02f08bec1c15d66fbbe5b83ffc37ea14e1512cc1bd4b2ea6d8066f", 113 "shared" : "e703bc8aa94b7d87ba34e2678353d12cdaaa1a97b5ca3e1b8c060c4636087f07", 114 "result" : "acceptable", 115 "flags" : [ 116 "Twist" 117 ] 118 }, 119 { 120 "tcId" : 10, 121 "comment" : "public key on twist", 122 "public" : "ffff000000000000000000000000000000000000000000000000000000000000", 123 "private" : "a8a1a2ec9fa9915ae7aace6a37c68591d39e15995c4ef5ebd3561c02f72dda41", 124 "shared" : "ff5cf041e924dbe1a64ac9bdba96bdcdfaf7d59d91c7e33e76ed0e4c8c836446", 125 "result" : "acceptable", 126 "flags" : [ 127 "Twist" 128 ] 129 }, 130 { 131 "tcId" : 11, 132 "comment" : "public key on twist", 133 "public" : "0000010000000000000000000000000000000000000000000000000000000000", 134 "private" : "a8c9df5820eb399d471dfa3215d96055b3c7d0f4ea49f8ab028d6a6e3194517b", 135 "shared" : "a92a96fa029960f9530e6fe37e2429cd113be4d8f3f4431f8546e6c76351475d", 136 "result" : "acceptable", 137 "flags" : [ 138 "Twist" 139 ] 140 }, 141 { 142 "tcId" : 12, 143 "comment" : "public key on twist", 144 "public" : "ffffff0f00000000000000000000000000000000000000000000000000000000", 145 "private" : "d0d31c491cbd39271859b4a63a316826507b1db8c701709fd0ffe3eb21c4467c", 146 "shared" : "9f8954868158ec62b6b586b8cae1d67d1b9f4c03d5b3ca0393cee71accc9ab65", 147 "result" : "acceptable", 148 "flags" : [ 149 "Twist" 150 ] 151 }, 152 { 153 "tcId" : 13, 154 "comment" : "public key on twist", 155 "public" : "ffffffff00000000000000000000000000000000000000000000000000000000", 156 "private" : "d053e7bf1902619cd61c9c739e09d54c4147f46d190720966f7de1d9cffbbd4e", 157 "shared" : "6cbf1dc9af97bc148513a18be4a257de1a3b065584df94e8b43c1ab89720b110", 158 "result" : "acceptable", 159 "flags" : [ 160 "Twist" 161 ] 162 }, 163 { 164 "tcId" : 14, 165 "comment" : "public key on twist", 166 "public" : "0000000000001000000000000000000000000000000000000000000000000000", 167 "private" : "a021d75009a4596e5a33f12921c10f3670933bc80dde3bba22881b6120582144", 168 "shared" : "38284b7086095a9406028c1f800c071ea106039ad7a1d7f82fe00906fd90594b", 169 "result" : "acceptable", 170 "flags" : [ 171 "Twist" 172 ] 173 }, 174 { 175 "tcId" : 15, 176 "comment" : "public key on twist", 177 "public" : "0000000000000001000000000000000000000000000000000000000000000000", 178 "private" : "a89c6687f99bd569a01fd8bd438236160d15ce2c57c1d71ebaa3f2da88233863", 179 "shared" : "c721041df0244071794a8db06b9f7eaeec690c257265343666f4416f4166840f", 180 "result" : "acceptable", 181 "flags" : [ 182 "Twist" 183 ] 184 }, 185 { 186 "tcId" : 16, 187 "comment" : "public key on twist", 188 "public" : "ffffffffffffffff000000000000000000000000000000000000000000000000", 189 "private" : "68964bca51465bf0f5ba524b1482ceff0e960a1ed9f48dcc30f1608d0e501a50", 190 "shared" : "25ff9a6631b143dbdbdc207b38e38f832ae079a52a618c534322e77345fd9049", 191 "result" : "acceptable", 192 "flags" : [ 193 "Twist" 194 ] 195 }, 196 { 197 "tcId" : 17, 198 "comment" : "public key on twist", 199 "public" : "0000000000000000000000000000000000000000000000000100000000000000", 200 "private" : "a8e56bb13a9f2b33b8e6750b4a6e6621dc26ae8c5c624a0992c8f0d5b910f170", 201 "shared" : "f294e7922c6cea587aefe72911630d50f2456a2ba7f21207d57f1ecce04f6213", 202 "result" : "acceptable", 203 "flags" : [ 204 "Twist" 205 ] 206 }, 207 { 208 "tcId" : 18, 209 "comment" : "public key on twist", 210 "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff00000000", 211 "private" : "e045f55c159451e97814d747050fd7769bd478434a01876a56e553f66384a74c", 212 "shared" : "ff4715bd8cf847b77c244ce2d9b008b19efaa8e845feb85ce4889b5b2c6a4b4d", 213 "result" : "acceptable", 214 "flags" : [ 215 "Twist" 216 ] 217 }, 218 { 219 "tcId" : 19, 220 "comment" : "public key on twist", 221 "public" : "ffffff030000f8ffff1f0000c0ffffff000000feffff070000f0ffff3f000000", 222 "private" : "105d621e1ef339c3d99245cfb77cd3a5bd0c4427a0e4d8752c3b51f045889b4f", 223 "shared" : "61eace52da5f5ecefafa4f199b077ff64f2e3d2a6ece6f8ec0497826b212ef5f", 224 "result" : "acceptable", 225 "flags" : [ 226 "Twist" 227 ] 228 }, 229 { 230 "tcId" : 20, 231 "comment" : "public key on twist", 232 "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f0000", 233 "private" : "d88a441e706f606ae7f630f8b21f3c2554739e3e549f804118c03771f608017b", 234 "shared" : "ff1b509a0a1a54726086f1e1c0acf040ab463a2a542e5d54e92c6df8126cf636", 235 "result" : "acceptable", 236 "flags" : [ 237 "Twist" 238 ] 239 }, 240 { 241 "tcId" : 21, 242 "comment" : "public key on twist", 243 "public" : "0000000000000000000000000000000000000000000000000000000000800000", 244 "private" : "80bbad168222276200aafd36f7f25fdc025632d8bf9f6354bb762e06fb63e250", 245 "shared" : "f134e6267bf93903085117b99932cc0c7ba26f25fca12102a26d7533d9c4272a", 246 "result" : "acceptable", 247 "flags" : [ 248 "Twist" 249 ] 250 }, 251 { 252 "tcId" : 22, 253 "comment" : "public key on twist", 254 "public" : "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff1f", 255 "private" : "68e134092e94e622c8a0cd18aff55be23dabd994ebdee982d90601f6f0f4b369", 256 "shared" : "74bfc15e5597e9f5193f941e10a5c008fc89f051392723886a4a8fe5093a7354", 257 "result" : "acceptable", 258 "flags" : [ 259 "Twist" 260 ] 261 }, 262 { 263 "tcId" : 23, 264 "comment" : "public key on twist", 265 "public" : "0000000000000000000000000000000000000000000000000000000000000020", 266 "private" : "e8e43fc1ebac0bbc9b99c8035ee1ac59b90f19a16c42c0b90f96adfcc5fdee78", 267 "shared" : "0d41a5b3af770bf2fcd34ff7972243a0e2cf4d34f2046a144581ae1ec68df03b", 268 "result" : "acceptable", 269 "flags" : [ 270 "Twist" 271 ] 272 }, 273 { 274 "tcId" : 24, 275 "comment" : "public key on twist", 276 "public" : "000000fcffff070000e0ffff3f000000ffffff010000f8ffff0f0000c0ffff7f", 277 "private" : "18bffb16f92680a9e267473e43c464476d5372ddd1f664f3d0678efe7c98bc79", 278 "shared" : "5894e0963583ae14a0b80420894167f4b759c8d2eb9b69cb675543f66510f646", 279 "result" : "acceptable", 280 "flags" : [ 281 "Twist" 282 ] 283 }, 284 { 285 "tcId" : 25, 286 "comment" : "public key on twist", 287 "public" : "ffffffffffffff00000000000000ffffffffffffff00000000000000ffffff7f", 288 "private" : "300305eb002bf86c71fe9c0b311993727b9dc618d0ce7251d0dfd8552d17905d", 289 "shared" : "f8624d6e35e6c548ac47832f2e5d151a8e53b9290363b28d2ab8d84ab7cb6a72", 290 "result" : "acceptable", 291 "flags" : [ 292 "Twist" 293 ] 294 }, 295 { 296 "tcId" : 26, 297 "comment" : "public key on twist", 298 "public" : "00000000ffffffff00000000ffffffff00000000ffffffff00000000ffffff7f", 299 "private" : "80da9f02842247d4ade5ddbac51dbce55ea7dca2844e7f97ab8987ce7fd8bc71", 300 "shared" : "bfe183ba3d4157a7b53ef178613db619e27800f85359c0b39a9fd6e32152c208", 301 "result" : "acceptable", 302 "flags" : [ 303 "Twist" 304 ] 305 }, 306 { 307 "tcId" : 27, 308 "comment" : "public key on twist", 309 "public" : "edfffffffffffffffffffffffffffeffffffffffffffffffffffffffffffff7f", 310 "private" : "806e7f26ca3246de8182946cbed09f52b95da626c823c7b50450001a47b7b252", 311 "shared" : "bca4a0724f5c1feb184078448c898c8620e7caf81f64cca746f557dff2498859", 312 "result" : "acceptable", 313 "flags" : [ 314 "Twist" 315 ] 316 }, 317 { 318 "tcId" : 28, 319 "comment" : "public key on twist", 320 "public" : "edfffffffffffffeffffffffffffffffffffffffffffffffffffffffffffff7f", 321 "private" : "58354fd64bc022cba3a71b2ae64281e4ea7bf6d65fdbaead1440eeb18604fe62", 322 "shared" : "b3418a52464c15ab0cacbbd43887a1199206d59229ced49202300638d7a40f04", 323 "result" : "acceptable", 324 "flags" : [ 325 "Twist" 326 ] 327 }, 328 { 329 "tcId" : 29, 330 "comment" : "public key on twist", 331 "public" : "edffffffffffefffffffffffffffffffffffffffffffffffffffffffffffff7f", 332 "private" : "f0019cf05159794cc8052b00c2e75b7f46fb6693c4b38c02b12a4fe272e8556a", 333 "shared" : "fcde6e0a3d5fd5b63f10c2d3aad4efa05196f26bc0cb26fd6d9d3bd015eaa74f", 334 "result" : "acceptable", 335 "flags" : [ 336 "Twist" 337 ] 338 }, 339 { 340 "tcId" : 30, 341 "comment" : "public key on twist", 342 "public" : "edfeffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", 343 "private" : "d0fca64cc5f3a0c8e75c824e8b09d1615aa79aeba139bb7302e2bb2fcbe54b40", 344 "shared" : "7d62f189444c6231a48afab10a0af2eee4a52e431ea05ff781d616af2114672f", 345 "result" : "acceptable", 346 "flags" : [ 347 "Twist" 348 ] 349 }, 350 { 351 "tcId" : 31, 352 "comment" : "public key on twist", 353 "public" : "eaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", 354 "private" : "d02456e456911d3c6cd054933199807732dfdc958642ad1aebe900c793bef24a", 355 "shared" : "07ba5fcbda21a9a17845c401492b10e6de0a168d5c94b606694c11bac39bea41", 356 "result" : "acceptable", 357 "flags" : [ 358 "Twist" 359 ] 360 }, 361 { 362 "tcId" : 32, 363 "comment" : "public key = 0", 364 "public" : "0000000000000000000000000000000000000000000000000000000000000000", 365 "private" : "88227494038f2bb811d47805bcdf04a2ac585ada7f2f23389bfd4658f9ddd45e", 366 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 367 "result" : "acceptable", 368 "flags" : [ 369 "SmallPublicKey", 370 "LowOrderPublic", 371 "ZeroSharedSecret" 372 ] 373 }, 374 { 375 "tcId" : 33, 376 "comment" : "public key = 1", 377 "public" : "0100000000000000000000000000000000000000000000000000000000000000", 378 "private" : "48232e8972b61c7e61930eb9450b5070eae1c670475685541f0476217e48184f", 379 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 380 "result" : "acceptable", 381 "flags" : [ 382 "SmallPublicKey", 383 "LowOrderPublic", 384 "ZeroSharedSecret" 385 ] 386 }, 387 { 388 "tcId" : 34, 389 "comment" : "edge case public key", 390 "public" : "0400000000000000000000000000000000000000000000000000000000000000", 391 "private" : "a8386f7f16c50731d64f82e6a170b142a4e34f31fd7768fcb8902925e7d1e25a", 392 "shared" : "34b7e4fa53264420d9f943d15513902342b386b172a0b0b7c8b8f2dd3d669f59", 393 "result" : "valid", 394 "flags" : [] 395 }, 396 { 397 "tcId" : 35, 398 "comment" : "edge case public key", 399 "public" : "0001000000000000000000000000000000000000000000000000000000000000", 400 "private" : "d05abd08bf5e62538cb9a5ed105dbedd6de38d07940085072b4311c2678ed77d", 401 "shared" : "3aa227a30781ed746bd4b3365e5f61461b844d09410c70570abd0d75574dfc77", 402 "result" : "valid", 403 "flags" : [] 404 }, 405 { 406 "tcId" : 36, 407 "comment" : "edge case public key", 408 "public" : "0000001000000000000000000000000000000000000000000000000000000000", 409 "private" : "f0b8b0998c8394364d7dcb25a3885e571374f91615275440db0645ee7c0a6f6b", 410 "shared" : "97755e7e775789184e176847ffbc2f8ef98799d46a709c6a1c0ffd29081d7039", 411 "result" : "valid", 412 "flags" : [] 413 }, 414 { 415 "tcId" : 37, 416 "comment" : "edge case public key", 417 "public" : "0000000001000000000000000000000000000000000000000000000000000000", 418 "private" : "d00c35dc17460f360bfae7b94647bc4e9a7ad9ce82abeadb50a2f1a0736e2175", 419 "shared" : "c212bfceb91f8588d46cd94684c2c9ee0734087796dc0a9f3404ff534012123d", 420 "result" : "valid", 421 "flags" : [] 422 }, 423 { 424 "tcId" : 38, 425 "comment" : "edge case public key", 426 "public" : "ffffffffffff0f00000000000000000000000000000000000000000000000000", 427 "private" : "385fc8058900a85021dd92425d2fb39a62d4e23aef1d5104c4c2d88712d39e4d", 428 "shared" : "388faffb4a85d06702ba3e479c6b216a8f33efce0542979bf129d860f93b9f02", 429 "result" : "valid", 430 "flags" : [] 431 }, 432 { 433 "tcId" : 39, 434 "comment" : "edge case public key", 435 "public" : "ffffffffffffff00000000000000000000000000000000000000000000000000", 436 "private" : "e0614b0c408af24d9d24c0a72f9137fbd6b16f02ccc94797ea3971ab16073a7f", 437 "shared" : "877fec0669d8c1a5c866641420eea9f6bd1dfd38d36a5d55a8c0ab2bf3105c68", 438 "result" : "valid", 439 "flags" : [] 440 }, 441 { 442 "tcId" : 40, 443 "comment" : "edge case public key", 444 "public" : "0000000000000000010000000000000000000000000000000000000000000000", 445 "private" : "f004b8fd05d9fffd853cdc6d2266389b737e8dfc296ad00b5a69b2a9dcf72956", 446 "shared" : "180373ea0f23ea73447e5a90398a97d490b541c69320719d7dd733fb80d5480f", 447 "result" : "valid", 448 "flags" : [] 449 }, 450 { 451 "tcId" : 41, 452 "comment" : "edge case public key", 453 "public" : "ffffffffffffffffffffffffffff000000000000000000000000000000000000", 454 "private" : "e80bf0e609bf3b035b552f9db7e9ecbc44a04b7910b1493661a524f46c3c2277", 455 "shared" : "208142350af938aba52a156dce19d3c27ab1628729683cf4ef2667c3dc60cf38", 456 "result" : "valid", 457 "flags" : [] 458 }, 459 { 460 "tcId" : 42, 461 "comment" : "edge case public key", 462 "public" : "0000000000000000000000000000010000000000000000000000000000000000", 463 "private" : "48890e95d1b03e603bcb51fdf6f296f1f1d10f5df10e00b8a25c9809f9aa1a54", 464 "shared" : "1c3263890f7a081cefe50cb92abd496582d90dcc2b9cb858bd286854aa6b0a7e", 465 "result" : "valid", 466 "flags" : [] 467 }, 468 { 469 "tcId" : 43, 470 "comment" : "edge case public key", 471 "public" : "ffffffffffffffffffffffffffffffff00000000000000000000000000000000", 472 "private" : "a806f1e39b742615a7dde3b29415ed827c68f07d4a47a4d9595c40c7fccb9263", 473 "shared" : "56128e78d7c66f48e863e7e6f2caa9c0988fd439deac11d4aac9664083087f7a", 474 "result" : "valid", 475 "flags" : [] 476 }, 477 { 478 "tcId" : 44, 479 "comment" : "edge case public key", 480 "public" : "0000000000000000000000000000000001000000000000000000000000000000", 481 "private" : "9899d5e265e1fc7c32345227d6699a6d6b5517cf33b43ab156ee20df4878794e", 482 "shared" : "30eca56f1f1c2e8ff780134e0e9382c5927d305d86b53477e9aeca79fc9ced05", 483 "result" : "valid", 484 "flags" : [] 485 }, 486 { 487 "tcId" : 45, 488 "comment" : "edge case public key", 489 "public" : "ffffffffffffffffffffffffffffffffffffffffffffffff0000000000000000", 490 "private" : 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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff03", 517 "private" : "182191b7052e9cd630ef08007fc6b43bc7652913be6774e2fd271b71b962a641", 518 "shared" : "a0e0315175788362d4ebe05e6ac76d52d40187bd687492af05abc7ba7c70197d", 519 "result" : "valid", 520 "flags" : [] 521 }, 522 { 523 "tcId" : 49, 524 "comment" : "edge case public key", 525 "public" : "ffffff0f000000ffffff0f000000ffffff0f000000ffffff0f000000ffffff0f", 526 "private" : "106221fe5694a710d6e147696c5d5b93d6887d584f24f228182ebe1b1d2db85d", 527 "shared" : "5e64924b91873b499a5402fa64337c65d4b2ed54beeb3fa5d7347809e43aef1c", 528 "result" : "valid", 529 "flags" : [] 530 }, 531 { 532 "tcId" : 50, 533 "comment" : "edge case public key", 534 "public" : "000000fcffff030000e0ffff1f000000ffffff000000f8ffff070000c0ffff3f", 535 "private" : "d035de9456080d85a912083b2e3c7ddd7971f786f25a96c5e782cf6f4376e362", 536 "shared" : "c052466f9712d9ec4ef40f276bb7e6441c5434a83efd8e41d20ce83f2dbf5952", 537 "result" : "valid", 538 "flags" : [] 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1076 "flags" : [ 1077 "SmallPublicKey", 1078 "LowOrderPublic", 1079 "NonCanonicalPublic", 1080 "ZeroSharedSecret" 1081 ] 1082 }, 1083 { 1084 "tcId" : 99, 1085 "comment" : "public key = 57896044618658097711785492504343953926634992332820282019728792003956564819969", 1086 "public" : "0100000000000000000000000000000000000000000000000000000000000080", 1087 "private" : "e07971ee820e48b0b266d8be3cdbbb5e900a43f59ee8535c6572418615de4962", 1088 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 1089 "result" : "acceptable", 1090 "flags" : [ 1091 "SmallPublicKey", 1092 "LowOrderPublic", 1093 "NonCanonicalPublic", 1094 "Twist", 1095 "ZeroSharedSecret" 1096 ] 1097 }, 1098 { 1099 "tcId" : 100, 1100 "comment" : "RFC 7748", 1101 "public" : "e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c", 1102 "private" : "a046e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449a44", 1103 "shared" : "c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552", 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1609 "comment" : "special case public key", 1610 "public" : "eefffffffffffffffffffffffffffeffffffffffffffffffffffffffffffff7f", 1611 "private" : "50696d4d05209971d6ba0676ea274262ba639aac74fa75e5df4570768ad8ae74", 1612 "shared" : "c118ddf6462fbea80f14ef1f2972a1ab12cafa511d1323d4d22d0d426d651b5b", 1613 "result" : "valid", 1614 "flags" : [] 1615 }, 1616 { 1617 "tcId" : 152, 1618 "comment" : "special case public key", 1619 "public" : "edffffffffffffffffffffffff7fffffffffffffffffffffffffffffffffff7f", 1620 "private" : "68bb680c853f4e4daa47c586dc886cf4568d7b0383770f6df439a53be4a3236d", 1621 "shared" : "cc0775bfd970a2706b11c7222a4436a3d17160382c83b76f89b66192c81b4408", 1622 "result" : "valid", 1623 "flags" : [] 1624 }, 1625 { 1626 "tcId" : 153, 1627 "comment" : "special case public key", 1628 "public" : "ebffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", 1629 "private" : "b0f6c28dbdc647068a76d71805ef770f087cf76b82afdc0d26c45b71ace49768", 1630 "shared" : "f0097fa0ba70d019126277ab15c56ecc170ca88180b2bf9d80fcda3d7d74552a", 1631 "result" : "valid", 1632 "flags" : [] 1633 }, 1634 { 1635 "tcId" : 154, 1636 "comment" : "special case public key", 1637 "public" : "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", 1638 "private" : "18630f93598637c35da623a74559cf944374a559114c7937811041fc8605564a", 1639 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 1640 "result" : "acceptable", 1641 "flags" : [ 1642 "LowOrderPublic", 1643 "Twist", 1644 "ZeroSharedSecret" 1645 ] 1646 }, 1647 { 1648 "tcId" : 155, 1649 "comment" : "special case for E in multiplication by 2", 1650 "public" : "0000000000000000000008000000000000000000000000000000000000000000", 1651 "private" : "581ecbda5a4a228044fefd6e03df234558c3c79152c6e2c5e60b142c4f26a851", 1652 "shared" : "59e7b1e6f47065a48bd34913d910176b6792a1372aad22e73cd7df45fcf91a0e", 1653 "result" : "acceptable", 1654 "flags" : [ 1655 "Twist" 1656 ] 1657 }, 1658 { 1659 "tcId" 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"c8f7a0c0bfb1e9c72576c534f86854fbe4af521d4fa807f67e2440e100ec8852", 1681 "shared" : "2f350bcf0b40784d1d756c9ca3e38ec9dd68ba80faf1f9847de50779c0d4902a", 1682 "result" : "valid", 1683 "flags" : [] 1684 }, 1685 { 1686 "tcId" : 159, 1687 "comment" : "special case for E in multiplication by 2", 1688 "public" : "770f4218ef234f5e185466e32442c302bbec21bbb6cd28c979e783fe5013333f", 1689 "private" : "58181f581aa37022ff71c56c6e68e6175d967c5c995a249885f66565074ded4d", 1690 "shared" : "d5d650dc621072eca952e4344efc7320b2b1459aba48f5e2480db881c50cc650", 1691 "result" : "acceptable", 1692 "flags" : [ 1693 "Twist" 1694 ] 1695 }, 1696 { 1697 "tcId" : 160, 1698 "comment" : "special case for E in multiplication by 2", 1699 "public" : "5c6118c4c74cfb842d9a87449f9d8db8b992d46c5a9093ce2fcb7a49b535c451", 1700 "private" : "301c935cae4357070b0adaf9cd6192830b2c989c153729eed99f589eb45f884b", 1701 "shared" : "909cc57275d54f20c67b45f9af9484fd67581afb7d887bee1db5461f303ef257", 1702 "result" : "acceptable", 1703 "flags" : [ 1704 "Twist" 1705 ] 1706 }, 1707 { 1708 "tcId" : 161, 1709 "comment" : "special case for E in multiplication by 2", 1710 "public" : "4039866127b6a12a54914e106aab86464af55631f3cb61766d5999aa8d2e076e", 1711 "private" : "d002292d4359a3d42bc8767f1380009332e7a0df2f3379011ab78f789f6baa54", 1712 "shared" : "4a7e2c5caf1d8180eb1c4f22692f29a14b4cdc9b193bd1d16e2f27438eef1448", 1713 "result" : "valid", 1714 "flags" : [] 1715 }, 1716 { 1717 "tcId" : 162, 1718 "comment" : "special case for E in multiplication by 2", 1719 "public" : "078fa523498fb51cba1112d83b20af448b8009d8eea14368564d01b8f9b6086f", 1720 "private" : "d0c2c49e644ab738270707ff9917065942687e2f12886d961161db46c05b565f", 1721 "shared" : "c0ee59d3685fc2c3c803608b5ee39a7f8da30b48e4293ae011f0ea1e5aeb7173", 1722 "result" : "acceptable", 1723 "flags" : [ 1724 "Twist" 1725 ] 1726 }, 1727 { 1728 "tcId" : 163, 1729 "comment" : "special case for E in multiplication by 2", 1730 "public" : "9fc6799ed8495ed5ab6eb1ef955479b9b50aa9ce0c349e8992a6665572d1f871", 1731 "private" : "f087d38b274c1dad1bce6eaa36b48e2190b90b9bf8ca59669cc5e00464534342", 1732 "shared" : "b252bc8eabfaa68c56e54d61b99061a35d11e3a7b9bda417d90f69b1119bcf45", 1733 "result" : "valid", 1734 "flags" : [] 1735 }, 1736 { 1737 "tcId" : 164, 1738 "comment" : "special case for E in multiplication by 2", 1739 "public" : "7650f2c76858ea201da2022ac730ecc43654852ad209426dd5d048a9de2a667e", 1740 "private" : "48dbcc5a695f1514bbbaa6ad00842b69d9ae5216b1963add07fb2947c97b8447", 1741 "shared" : "fbda33bc930c08df837208e19afdc1cfe3fd0f8f0e3976be34775e58a4a7771f", 1742 "result" : "valid", 1743 "flags" : [] 1744 }, 1745 { 1746 "tcId" : 165, 1747 "comment" : "D = 0 in multiplication by 2", 1748 "public" : "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800", 1749 "private" : "5891c9272cf9a197735b701e5715268d36d7436b7e351a3e997a0862e4807d4d", 1750 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 1751 "result" : "acceptable", 1752 "flags" : [ 1753 "LowOrderPublic", 1754 "ZeroSharedSecret" 1755 ] 1756 }, 1757 { 1758 "tcId" : 166, 1759 "comment" : "D = 0 in multiplication by 2", 1760 "public" : "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157", 1761 "private" : "c0f9c60aea73731d92ab5ed9f4cea122f9a6eb2577bda72f94948fea4d4cc65d", 1762 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 1763 "result" : "acceptable", 1764 "flags" : [ 1765 "LowOrderPublic", 1766 "ZeroSharedSecret" 1767 ] 1768 }, 1769 { 1770 "tcId" : 167, 1771 "comment" : "special case for DA - CB in multiplication by 2", 1772 "public" : "b0224e7134cf92d40a31515f2f0e89c2a2777e8ac2fe741db0dc39399fdf2702", 1773 "private" : "0066dd7674fe51f9326c1e239b875f8ac0701aae69a804c25fe43595e8660b45", 1774 "shared" : "8dacfe7beaaa62b94bf6e50ee5214d99ad7cda5a431ea0c62f2b20a89d73c62e", 1775 "result" : "acceptable", 1776 "flags" : [ 1777 "Twist" 1778 ] 1779 }, 1780 { 1781 "tcId" : 168, 1782 "comment" : "special case for DA - CB in multiplication by 2", 1783 "public" : "601e3febb848ec3e57fce64588aad82afc9c2af99bbcdffcc4cd58d4b3d15c07", 1784 "private" : "80067f30f40d61318b420c859fce128c9017ab81b47b76028a57bc30d5856846", 1785 "shared" : "20f1d3fe90e08bc6f152bf5dacc3ed35899785333f1470e6a62c3b8cbe28d260", 1786 "result" : "valid", 1787 "flags" : [] 1788 }, 1789 { 1790 "tcId" : 169, 1791 "comment" : "special case for DA - CB in multiplication by 2", 1792 "public" : "82a3807bbdec2fa9938fb4141e27dc57456606301f78ff7133cf24f3d13ee117", 1793 "private" : "584577669d21ce0ae3e30b02c9783ffe97709cbfe396889aa31e8ee43352dc52", 1794 "shared" : "2b28cc5140b816add5ad3a77a81b1c073d67bf51bf95bda2064a14eb12d5f766", 1795 "result" : "acceptable", 1796 "flags" : [ 1797 "Twist" 1798 ] 1799 }, 1800 { 1801 "tcId" : 170, 1802 "comment" : "special case for DA - CB in multiplication by 2", 1803 "public" : "f329ab2376462e5f3128a2682086253c19222ac1e2bca45692f0c3b528f4c428", 1804 "private" : "18e597a4e2ccdb5e8052d57c9009938c2d4c43d6d8c9f93c98727b7311035953", 1805 "shared" : "8392160083b9af9e0ef44fcfce53ba8ff7282ee7a6c71ab66f8843a55d09cd68", 1806 "result" : "valid", 1807 "flags" : [] 1808 }, 1809 { 1810 "tcId" : 171, 1811 "comment" : "special case for DA in multiplication by 2", 1812 "public" : "4fce3bb6c8aaf022dbd100e3cde3941b37d543f00401dba7da9bc143dfc55709", 1813 "private" : "88281cc51d5512d8814ea5249b879dcbad0323d38512dafbdc7ba85bba8c8d5d", 1814 "shared" : "42184e22c535530c457bd3b4f1084cbf5e297f502fe136b8d1daecf5334cc96c", 1815 "result" : "valid", 1816 "flags" : [] 1817 }, 1818 { 1819 "tcId" : 172, 1820 "comment" : "special case for DA in multiplication by 2", 1821 "public" : "15c68851c1db844b5a1ef3456a659f188854b1a75fbdb2f68f514c9289ce711f", 1822 "private" : "d0e795450df0a813c6573496ec5793ca02e1bdbad10ed08df83fdaed68b3385f", 1823 "shared" : "f654d78e5945b24bc63e3e6d790e0ae986e53937764068b1bce920e1d79b756f", 1824 "result" : "valid", 1825 "flags" : [] 1826 }, 1827 { 1828 "tcId" : 173, 1829 "comment" : "special case for DA in multiplication by 2", 1830 "public" : "4200a242434337b8914f49345301ed782b13594f9ede089c41fb1e7ea82c9053", 1831 "private" : "30b69a1cc1eb2d0b83ea213846e90a2c922088bdf294a6995bf6e6e77c646c41", 1832 "shared" : "cd8a09b04795edcc7061867373981aa748651ebdce5ec218a335b878cefe4872", 1833 "result" : "valid", 1834 "flags" : [] 1835 }, 1836 { 1837 "tcId" : 174, 1838 "comment" : "special case for DA in multiplication by 2", 1839 "public" : "baabf0174aaaea4de48cc83adfb0401461a741903ea6fb130d7d64b7bf03a966", 1840 "private" : "78b30bb63cd8ade71b7a77d426f4419d05f199ffef349e89faa9d9a5f21f6654", 1841 "shared" : "c9f8258f237db1c80702c5c4d9048dfba9dfe259da4aeee90dc2945526961275", 1842 "result" : "valid", 1843 "flags" : [] 1844 }, 1845 { 1846 "tcId" : 175, 1847 "comment" : "special case for x_2 in multiplication by 2", 1848 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1895 "public" : "fccfe742a63ed9cb70958560b5a02260350a7ecbaf8c57ae045f671a29b4b573", 1896 "private" : "d054ded613febf2950ac5c927fcb120c387de0ba61b331cd33024c8b6e737048", 1897 "shared" : "d683ca6194452d878c12d7da35f22833f99728bba89931a51274f61210336a5f", 1898 "result" : "valid", 1899 "flags" : [] 1900 }, 1901 { 1902 "tcId" : 181, 1903 "comment" : "special case for AA in multiplication by 2", 1904 "public" : "cb3d4a90f86b3011da3369d9988597c7fff1499273b4a04f84d0e26ed1683c0d", 1905 "private" : "e82c480631fb153ba2211fe603032b3e71b162dbd3c11bec03208ffcd510655f", 1906 "shared" : "dbf6203516635840cf69a02db87cf0d95dae315da7fc1ec7ce2b29e1f2db6666", 1907 "result" : "acceptable", 1908 "flags" : [ 1909 "Twist" 1910 ] 1911 }, 1912 { 1913 "tcId" : 182, 1914 "comment" : "special case for AA in multiplication by 2", 1915 "public" : "101e13f7bc0570fa2638caa20a67c6e0c21dab132f4b456191590264c493d018", 1916 "private" : "c0c01d28c1cab01f59700aca5f18d2697658b37fdd54a339ff391c0a1a1b1645", 1917 "shared" : 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