1{ 2 "algorithm" : "XDH", 3 "generatorVersion" : "0.8r12", 4 "numberOfTests" : 535, 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 "InvalidPublic" : "The private key and the public key do not use the same underlying group.", 11 "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.", 12 "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.", 13 "SmallPublicKey" : "The public key is insecure and does not belong to a valid private key. Some libraries reject such keys.", 14 "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.", 15 "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. " 16 }, 17 "schema" : "xdh_asn_comp_schema.json", 18 "testGroups" : [ 19 { 20 "curve" : "curve25519", 21 "type" : "XdhAsnComp", 22 "tests" : [ 23 { 24 "tcId" : 1, 25 "comment" : "normal case", 26 "public" : "302a300506032b656e032100504a36999f489cd2fdbc08baff3d88fa00569ba986cba22548ffde80f9806829", 27 "private" : "302e020100300506032b656e04220420c8a9d5a91091ad851c668b0736c1c9a02936c0d3ad62670858088047ba057475", 28 "shared" : "436a2c040cf45fea9b29a0cb81b1f41458f863d0d61b453d0a982720d6d61320", 29 "result" : "valid", 30 "flags" : [] 31 }, 32 { 33 "tcId" : 2, 34 "comment" : "public key on twist", 35 "public" : "302a300506032b656e03210063aa40c6e38346c5caf23a6df0a5e6c80889a08647e551b3563449befcfc9733", 36 "private" : "302e020100300506032b656e04220420d85d8c061a50804ac488ad774ac716c3f5ba714b2712e048491379a500211958", 37 "shared" : "279df67a7c4611db4708a0e8282b195e5ac0ed6f4b2f292c6fbd0acac30d1332", 38 "result" : "acceptable", 39 "flags" : [ 40 "Twist" 41 ] 42 }, 43 { 44 "tcId" : 3, 45 "comment" : "public key on twist", 46 "public" : "302a300506032b656e0321000f83c36fded9d32fadf4efa3ae93a90bb5cfa66893bc412c43fa7287dbb99779", 47 "private" : "302e020100300506032b656e04220420c8b45bfd32e55325d9fd648cb302848039000b390e44d521e58aab3b29a6964b", 48 "shared" : "4bc7e01e7d83d6cf67632bf90033487a5fc29eba5328890ea7b1026d23b9a45f", 49 "result" : "acceptable", 50 "flags" : [ 51 "Twist" 52 ] 53 }, 54 { 55 "tcId" : 4, 56 "comment" : "public key on twist", 57 "public" : "302a300506032b656e0321000b8211a2b6049097f6871c6c052d3c5fc1ba17da9e32ae458403b05bb283092a", 58 "private" : "302e020100300506032b656e04220420f876e34bcbe1f47fbc0fddfd7c1e1aa53d57bfe0f66d243067b424bb6210be51", 59 "shared" : "119d37ed4b109cbd6418b1f28dea83c836c844715cdf98a3a8c362191debd514", 60 "result" : "acceptable", 61 "flags" : [ 62 "Twist" 63 ] 64 }, 65 { 66 "tcId" : 5, 67 "comment" : "public key on twist", 68 "public" : "302a300506032b656e032100343ac20a3b9c6a27b1008176509ad30735856ec1c8d8fcae13912d08d152f46c", 69 "private" : "302e020100300506032b656e04220420006ac1f3a653a4cdb1d37bba94738f8b957a57beb24d646e994dc29a276aad45", 70 "shared" : "cc4873aed3fcee4b3aaea7f0d20716b4276359081f634b7bea4b705bfc8a4d3e", 71 "result" : "acceptable", 72 "flags" : [ 73 "Twist" 74 ] 75 }, 76 { 77 "tcId" : 6, 78 "comment" : "public key on twist", 79 "public" : "302a300506032b656e032100fa695fc7be8d1be5bf704898f388c452bafdd3b8eae805f8681a8d15c2d4e142", 80 "private" : "302e020100300506032b656e0422042008da77b26d06dff9d9f7fd4c5b3769f8cdd5b30516a5ab806be324ff3eb69e60", 81 "shared" : "b6f8e2fcb1affc79e2ff798319b2701139b95ad6dd07f05cbac78bd83edfd92e", 82 "result" : "acceptable", 83 "flags" : [ 84 "Twist" 85 ] 86 }, 87 { 88 "tcId" : 7, 89 "comment" : "public key on twist", 90 "public" : "302a300506032b656e0321000200000000000000000000000000000000000000000000000000000000000000", 91 "private" : "302e020100300506032b656e04220420d03edde9f3e7b799045f9ac3793d4a9277dadeadc41bec0290f81f744f73775f", 92 "shared" : "b87a1722cc6c1e2feecb54e97abd5a22acc27616f78f6e315fd2b73d9f221e57", 93 "result" : "acceptable", 94 "flags" : [ 95 "Twist" 96 ] 97 }, 98 { 99 "tcId" : 8, 100 "comment" : "public key on twist", 101 "public" : "302a300506032b656e0321000300000000000000000000000000000000000000000000000000000000000000", 102 "private" : "302e020100300506032b656e04220420e09d57a914e3c29036fd9a442ba526b5cdcdf28216153e636c10677acab6bd6a", 103 "shared" : "a29d8dad28d590cd3017aa97a4761f851bf1d3672b042a4256a45881e2ad9035", 104 "result" : "acceptable", 105 "flags" : [ 106 "Twist" 107 ] 108 }, 109 { 110 "tcId" : 9, 111 "comment" : "public key on twist", 112 "public" : "302a300506032b656e032100ff00000000000000000000000000000000000000000000000000000000000000", 113 "private" : "302e020100300506032b656e04220420e0ed78e6ee02f08bec1c15d66fbbe5b83ffc37ea14e1512cc1bd4b2ea6d8066f", 114 "shared" : "e703bc8aa94b7d87ba34e2678353d12cdaaa1a97b5ca3e1b8c060c4636087f07", 115 "result" : "acceptable", 116 "flags" : [ 117 "Twist" 118 ] 119 }, 120 { 121 "tcId" : 10, 122 "comment" : "public key on twist", 123 "public" : "302a300506032b656e032100ffff000000000000000000000000000000000000000000000000000000000000", 124 "private" : "302e020100300506032b656e04220420a8a1a2ec9fa9915ae7aace6a37c68591d39e15995c4ef5ebd3561c02f72dda41", 125 "shared" : "ff5cf041e924dbe1a64ac9bdba96bdcdfaf7d59d91c7e33e76ed0e4c8c836446", 126 "result" : "acceptable", 127 "flags" : [ 128 "Twist" 129 ] 130 }, 131 { 132 "tcId" : 11, 133 "comment" : "public key on twist", 134 "public" : "302a300506032b656e0321000000010000000000000000000000000000000000000000000000000000000000", 135 "private" : "302e020100300506032b656e04220420a8c9df5820eb399d471dfa3215d96055b3c7d0f4ea49f8ab028d6a6e3194517b", 136 "shared" : "a92a96fa029960f9530e6fe37e2429cd113be4d8f3f4431f8546e6c76351475d", 137 "result" : "acceptable", 138 "flags" : [ 139 "Twist" 140 ] 141 }, 142 { 143 "tcId" : 12, 144 "comment" : "public key on twist", 145 "public" : "302a300506032b656e032100ffffff0f00000000000000000000000000000000000000000000000000000000", 146 "private" : "302e020100300506032b656e04220420d0d31c491cbd39271859b4a63a316826507b1db8c701709fd0ffe3eb21c4467c", 147 "shared" : "9f8954868158ec62b6b586b8cae1d67d1b9f4c03d5b3ca0393cee71accc9ab65", 148 "result" : "acceptable", 149 "flags" : [ 150 "Twist" 151 ] 152 }, 153 { 154 "tcId" : 13, 155 "comment" : "public key on twist", 156 "public" : "302a300506032b656e032100ffffffff00000000000000000000000000000000000000000000000000000000", 157 "private" : "302e020100300506032b656e04220420d053e7bf1902619cd61c9c739e09d54c4147f46d190720966f7de1d9cffbbd4e", 158 "shared" : "6cbf1dc9af97bc148513a18be4a257de1a3b065584df94e8b43c1ab89720b110", 159 "result" : "acceptable", 160 "flags" : [ 161 "Twist" 162 ] 163 }, 164 { 165 "tcId" : 14, 166 "comment" : "public key on twist", 167 "public" : "302a300506032b656e0321000000000000001000000000000000000000000000000000000000000000000000", 168 "private" : "302e020100300506032b656e04220420a021d75009a4596e5a33f12921c10f3670933bc80dde3bba22881b6120582144", 169 "shared" : "38284b7086095a9406028c1f800c071ea106039ad7a1d7f82fe00906fd90594b", 170 "result" : "acceptable", 171 "flags" : [ 172 "Twist" 173 ] 174 }, 175 { 176 "tcId" : 15, 177 "comment" : "public key on twist", 178 "public" : "302a300506032b656e0321000000000000000001000000000000000000000000000000000000000000000000", 179 "private" : "302e020100300506032b656e04220420a89c6687f99bd569a01fd8bd438236160d15ce2c57c1d71ebaa3f2da88233863", 180 "shared" : "c721041df0244071794a8db06b9f7eaeec690c257265343666f4416f4166840f", 181 "result" : "acceptable", 182 "flags" : [ 183 "Twist" 184 ] 185 }, 186 { 187 "tcId" : 16, 188 "comment" : "public key on twist", 189 "public" : "302a300506032b656e032100ffffffffffffffff000000000000000000000000000000000000000000000000", 190 "private" : "302e020100300506032b656e0422042068964bca51465bf0f5ba524b1482ceff0e960a1ed9f48dcc30f1608d0e501a50", 191 "shared" : "25ff9a6631b143dbdbdc207b38e38f832ae079a52a618c534322e77345fd9049", 192 "result" : "acceptable", 193 "flags" : [ 194 "Twist" 195 ] 196 }, 197 { 198 "tcId" : 17, 199 "comment" : "public key on twist", 200 "public" : "302a300506032b656e0321000000000000000000000000000000000000000000000000000100000000000000", 201 "private" : "302e020100300506032b656e04220420a8e56bb13a9f2b33b8e6750b4a6e6621dc26ae8c5c624a0992c8f0d5b910f170", 202 "shared" : "f294e7922c6cea587aefe72911630d50f2456a2ba7f21207d57f1ecce04f6213", 203 "result" : "acceptable", 204 "flags" : [ 205 "Twist" 206 ] 207 }, 208 { 209 "tcId" : 18, 210 "comment" : "public key on twist", 211 "public" : "302a300506032b656e032100ffffffffffffffffffffffffffffffffffffffffffffffffffffffff00000000", 212 "private" : "302e020100300506032b656e04220420e045f55c159451e97814d747050fd7769bd478434a01876a56e553f66384a74c", 213 "shared" : "ff4715bd8cf847b77c244ce2d9b008b19efaa8e845feb85ce4889b5b2c6a4b4d", 214 "result" : "acceptable", 215 "flags" : [ 216 "Twist" 217 ] 218 }, 219 { 220 "tcId" : 19, 221 "comment" : "public key on twist", 222 "public" : "302a300506032b656e032100ffffff030000f8ffff1f0000c0ffffff000000feffff070000f0ffff3f000000", 223 "private" : "302e020100300506032b656e04220420105d621e1ef339c3d99245cfb77cd3a5bd0c4427a0e4d8752c3b51f045889b4f", 224 "shared" : "61eace52da5f5ecefafa4f199b077ff64f2e3d2a6ece6f8ec0497826b212ef5f", 225 "result" : "acceptable", 226 "flags" : [ 227 "Twist" 228 ] 229 }, 230 { 231 "tcId" : 20, 232 "comment" : "public key on twist", 233 "public" : "302a300506032b656e032100ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f0000", 234 "private" : "302e020100300506032b656e04220420d88a441e706f606ae7f630f8b21f3c2554739e3e549f804118c03771f608017b", 235 "shared" : "ff1b509a0a1a54726086f1e1c0acf040ab463a2a542e5d54e92c6df8126cf636", 236 "result" : "acceptable", 237 "flags" : [ 238 "Twist" 239 ] 240 }, 241 { 242 "tcId" : 21, 243 "comment" : "public key on twist", 244 "public" : "302a300506032b656e0321000000000000000000000000000000000000000000000000000000000000800000", 245 "private" : "302e020100300506032b656e0422042080bbad168222276200aafd36f7f25fdc025632d8bf9f6354bb762e06fb63e250", 246 "shared" : "f134e6267bf93903085117b99932cc0c7ba26f25fca12102a26d7533d9c4272a", 247 "result" : "acceptable", 248 "flags" : [ 249 "Twist" 250 ] 251 }, 252 { 253 "tcId" : 22, 254 "comment" : "public key on twist", 255 "public" : "302a300506032b656e032100ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff1f", 256 "private" : "302e020100300506032b656e0422042068e134092e94e622c8a0cd18aff55be23dabd994ebdee982d90601f6f0f4b369", 257 "shared" : "74bfc15e5597e9f5193f941e10a5c008fc89f051392723886a4a8fe5093a7354", 258 "result" : "acceptable", 259 "flags" : [ 260 "Twist" 261 ] 262 }, 263 { 264 "tcId" : 23, 265 "comment" : "public key on twist", 266 "public" : "302a300506032b656e0321000000000000000000000000000000000000000000000000000000000000000020", 267 "private" : "302e020100300506032b656e04220420e8e43fc1ebac0bbc9b99c8035ee1ac59b90f19a16c42c0b90f96adfcc5fdee78", 268 "shared" : "0d41a5b3af770bf2fcd34ff7972243a0e2cf4d34f2046a144581ae1ec68df03b", 269 "result" : "acceptable", 270 "flags" : [ 271 "Twist" 272 ] 273 }, 274 { 275 "tcId" : 24, 276 "comment" : "public key on twist", 277 "public" : "302a300506032b656e032100000000fcffff070000e0ffff3f000000ffffff010000f8ffff0f0000c0ffff7f", 278 "private" : "302e020100300506032b656e0422042018bffb16f92680a9e267473e43c464476d5372ddd1f664f3d0678efe7c98bc79", 279 "shared" : "5894e0963583ae14a0b80420894167f4b759c8d2eb9b69cb675543f66510f646", 280 "result" : "acceptable", 281 "flags" : [ 282 "Twist" 283 ] 284 }, 285 { 286 "tcId" : 25, 287 "comment" : "public key on twist", 288 "public" : "302a300506032b656e032100ffffffffffffff00000000000000ffffffffffffff00000000000000ffffff7f", 289 "private" : "302e020100300506032b656e04220420300305eb002bf86c71fe9c0b311993727b9dc618d0ce7251d0dfd8552d17905d", 290 "shared" : "f8624d6e35e6c548ac47832f2e5d151a8e53b9290363b28d2ab8d84ab7cb6a72", 291 "result" : "acceptable", 292 "flags" : [ 293 "Twist" 294 ] 295 }, 296 { 297 "tcId" : 26, 298 "comment" : "public key on twist", 299 "public" : "302a300506032b656e03210000000000ffffffff00000000ffffffff00000000ffffffff00000000ffffff7f", 300 "private" : "302e020100300506032b656e0422042080da9f02842247d4ade5ddbac51dbce55ea7dca2844e7f97ab8987ce7fd8bc71", 301 "shared" : "bfe183ba3d4157a7b53ef178613db619e27800f85359c0b39a9fd6e32152c208", 302 "result" : "acceptable", 303 "flags" : [ 304 "Twist" 305 ] 306 }, 307 { 308 "tcId" : 27, 309 "comment" : "public key on twist", 310 "public" : "302a300506032b656e032100edfffffffffffffffffffffffffffeffffffffffffffffffffffffffffffff7f", 311 "private" : "302e020100300506032b656e04220420806e7f26ca3246de8182946cbed09f52b95da626c823c7b50450001a47b7b252", 312 "shared" : "bca4a0724f5c1feb184078448c898c8620e7caf81f64cca746f557dff2498859", 313 "result" : "acceptable", 314 "flags" : [ 315 "Twist" 316 ] 317 }, 318 { 319 "tcId" : 28, 320 "comment" : "public key on twist", 321 "public" : "302a300506032b656e032100edfffffffffffffeffffffffffffffffffffffffffffffffffffffffffffff7f", 322 "private" : "302e020100300506032b656e0422042058354fd64bc022cba3a71b2ae64281e4ea7bf6d65fdbaead1440eeb18604fe62", 323 "shared" : "b3418a52464c15ab0cacbbd43887a1199206d59229ced49202300638d7a40f04", 324 "result" : "acceptable", 325 "flags" : [ 326 "Twist" 327 ] 328 }, 329 { 330 "tcId" : 29, 331 "comment" : "public key on twist", 332 "public" : "302a300506032b656e032100edffffffffffefffffffffffffffffffffffffffffffffffffffffffffffff7f", 333 "private" : "302e020100300506032b656e04220420f0019cf05159794cc8052b00c2e75b7f46fb6693c4b38c02b12a4fe272e8556a", 334 "shared" : "fcde6e0a3d5fd5b63f10c2d3aad4efa05196f26bc0cb26fd6d9d3bd015eaa74f", 335 "result" : "acceptable", 336 "flags" : [ 337 "Twist" 338 ] 339 }, 340 { 341 "tcId" : 30, 342 "comment" : "public key on twist", 343 "public" : "302a300506032b656e032100edfeffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", 344 "private" : "302e020100300506032b656e04220420d0fca64cc5f3a0c8e75c824e8b09d1615aa79aeba139bb7302e2bb2fcbe54b40", 345 "shared" : "7d62f189444c6231a48afab10a0af2eee4a52e431ea05ff781d616af2114672f", 346 "result" : "acceptable", 347 "flags" : [ 348 "Twist" 349 ] 350 }, 351 { 352 "tcId" : 31, 353 "comment" : "public key on twist", 354 "public" : "302a300506032b656e032100eaffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", 355 "private" : "302e020100300506032b656e04220420d02456e456911d3c6cd054933199807732dfdc958642ad1aebe900c793bef24a", 356 "shared" : "07ba5fcbda21a9a17845c401492b10e6de0a168d5c94b606694c11bac39bea41", 357 "result" : "acceptable", 358 "flags" : [ 359 "Twist" 360 ] 361 }, 362 { 363 "tcId" : 32, 364 "comment" : "public key = 0", 365 "public" : "302a300506032b656e0321000000000000000000000000000000000000000000000000000000000000000000", 366 "private" : "302e020100300506032b656e0422042088227494038f2bb811d47805bcdf04a2ac585ada7f2f23389bfd4658f9ddd45e", 367 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 368 "result" : "acceptable", 369 "flags" : [ 370 "SmallPublicKey", 371 "LowOrderPublic", 372 "ZeroSharedSecret" 373 ] 374 }, 375 { 376 "tcId" : 33, 377 "comment" : "public key = 1", 378 "public" : "302a300506032b656e0321000100000000000000000000000000000000000000000000000000000000000000", 379 "private" : "302e020100300506032b656e0422042048232e8972b61c7e61930eb9450b5070eae1c670475685541f0476217e48184f", 380 "shared" : "0000000000000000000000000000000000000000000000000000000000000000", 381 "result" : "acceptable", 382 "flags" : [ 383 "SmallPublicKey", 384 "LowOrderPublic", 385 "ZeroSharedSecret" 386 ] 387 }, 388 { 389 "tcId" : 34, 390 "comment" : "edge case public key", 391 "public" : "302a300506032b656e0321000400000000000000000000000000000000000000000000000000000000000000", 392 "private" : "302e020100300506032b656e04220420a8386f7f16c50731d64f82e6a170b142a4e34f31fd7768fcb8902925e7d1e25a", 393 "shared" : "34b7e4fa53264420d9f943d15513902342b386b172a0b0b7c8b8f2dd3d669f59", 394 "result" : "valid", 395 "flags" : [] 396 }, 397 { 398 "tcId" : 35, 399 "comment" : "edge case public key", 400 "public" : "302a300506032b656e0321000001000000000000000000000000000000000000000000000000000000000000", 401 "private" : "302e020100300506032b656e04220420d05abd08bf5e62538cb9a5ed105dbedd6de38d07940085072b4311c2678ed77d", 402 "shared" : "3aa227a30781ed746bd4b3365e5f61461b844d09410c70570abd0d75574dfc77", 403 "result" : "valid", 404 "flags" : [] 405 }, 406 { 407 "tcId" : 36, 408 "comment" : "edge case public key", 409 "public" : "302a300506032b656e0321000000001000000000000000000000000000000000000000000000000000000000", 410 "private" : "302e020100300506032b656e04220420f0b8b0998c8394364d7dcb25a3885e571374f91615275440db0645ee7c0a6f6b", 411 "shared" : "97755e7e775789184e176847ffbc2f8ef98799d46a709c6a1c0ffd29081d7039", 412 "result" : "valid", 413 "flags" : [] 414 }, 415 { 416 "tcId" : 37, 417 "comment" : "edge case public key", 418 "public" : "302a300506032b656e0321000000000001000000000000000000000000000000000000000000000000000000", 419 "private" : "302e020100300506032b656e04220420d00c35dc17460f360bfae7b94647bc4e9a7ad9ce82abeadb50a2f1a0736e2175", 420 "shared" : "c212bfceb91f8588d46cd94684c2c9ee0734087796dc0a9f3404ff534012123d", 421 "result" : "valid", 422 "flags" : [] 423 }, 424 { 425 "tcId" : 38, 426 "comment" : "edge case public key", 427 "public" : "302a300506032b656e032100ffffffffffff0f00000000000000000000000000000000000000000000000000", 428 "private" : "302e020100300506032b656e04220420385fc8058900a85021dd92425d2fb39a62d4e23aef1d5104c4c2d88712d39e4d", 429 "shared" : "388faffb4a85d06702ba3e479c6b216a8f33efce0542979bf129d860f93b9f02", 430 "result" : "valid", 431 "flags" : [] 432 }, 433 { 434 "tcId" : 39, 435 "comment" : "edge case 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1644 "Twist", 1645 "ZeroSharedSecret" 1646 ] 1647 }, 1648 { 1649 "tcId" : 155, 1650 "comment" : "special case for E in multiplication by 2", 1651 "public" : "302a300506032b656e0321000000000000000000000008000000000000000000000000000000000000000000", 1652 "private" : "302e020100300506032b656e04220420581ecbda5a4a228044fefd6e03df234558c3c79152c6e2c5e60b142c4f26a851", 1653 "shared" : "59e7b1e6f47065a48bd34913d910176b6792a1372aad22e73cd7df45fcf91a0e", 1654 "result" : "acceptable", 1655 "flags" : [ 1656 "Twist" 1657 ] 1658 }, 1659 { 1660 "tcId" : 156, 1661 "comment" : "special case for E in multiplication by 2", 1662 "public" : "302a300506032b656e03210077af0d3897a715dfe25df5d538cf133bc9ab7ad52df6bd922a2fb75621d59901", 1663 "private" : "302e020100300506032b656e04220420b0561a38000795b7cb537b55e975ea452c2118506295d5eb15fd9c83b67f7a50", 1664 "shared" : "179f6b020748acba349133eaa4518f1bd8bab7bfc4fb05fd4c24e7553da1e960", 1665 "result" : "valid", 1666 "flags" : [] 1667 }, 1668 { 1669 "tcId" : 157, 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