diff --git a/spec/fixtures/p256/vectors-big-identifier.json b/spec/fixtures/p256/vectors-big-identifier.json
new file mode 100644
index 0000000..1eacb53
--- /dev/null
+++ b/spec/fixtures/p256/vectors-big-identifier.json
@@ -0,0 +1,1109 @@
+{
+  "config": {
+    "MAX_PARTICIPANTS": "257",
+    "NUM_PARTICIPANTS": "3",
+    "MIN_PARTICIPANTS": "2",
+    "name": "FROST(P-256, SHA-256)",
+    "group": "P-256",
+    "hash": "SHA-256"
+  },
+  "inputs": {
+    "participant_list": [
+      129,
+      256,
+      257
+    ],
+    "group_secret_key": "8ba9bba2e0fd8c4767154d35a0b7562244a4aaf6f36c8fb8735fa48b301bd8de",
+    "group_public_key": "023a309ad94e9fe8a7ba45dfc58f38bf091959d3c99cfbd02b4dc00585ec45ab70",
+    "message": "74657374",
+    "share_polynomial_coefficients": [
+      "80f25e6c0709353e46bfbe882a11bdbb1f8097e46340eb8673b7e14556e6c3a4"
+    ],
+    "participant_shares": [
+      {
+        "identifier": 1,
+        "participant_share": "0c9c1a0fe806c184add50bbdcac913dda73e482daf95dcb9f35dbb0d8a9f7731"
+      },
+      {
+        "identifier": 2,
+        "participant_share": "8d8e787bef0ff6c2f494ca45f4dad198c6bee01212d6c84067159c52e1863ad5"
+      },
+      {
+        "identifier": 3,
+        "participant_share": "0e80d6e8f6192c003b5488ce1eec8f5429587d48cf001541e713b2d53c09d928"
+      },
+      {
+        "identifier": 4,
+        "participant_share": "8f733554fd22613e8214475648fe4d0f48d9152d324100c85acb941a92f09ccc"
+      },
+      {
+        "identifier": 5,
+        "participant_share": "106593c2042b967bc8d405de73100acaab72b263ee6a4dc9dac9aa9ced743b1f"
+      },
+      {
+        "identifier": 6,
+        "participant_share": "9157f22e0b34cbba0f93c4669d21c885caf34a4851ab39504e818be2445afec3"
+      },
+      {
+        "identifier": 7,
+        "participant_share": "124a509b123e00f7565382eec73386412d8ce77f0dd48651ce7fa2649ede9d16"
+      },
+      {
+        "identifier": 8,
+        "participant_share": "933caf07194736359d134176f14543fc4d0d7f63711571d8423783a9f5c560ba"
+      },
+      {
+        "identifier": 9,
+        "participant_share": "142f0d7420506b72e3d2ffff1b5701b7afa71c9a2d3ebed9c2359a2c5048ff0d"
+      },
+      {
+        "identifier": 10,
+        "participant_share": "95216be02759a0b12a92be874568bf72cf27b47e907faa6035ed7b71a72fc2b1"
+      },
+      {
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+        "participant_share": "1613ca4d2e62d5ee71527d0f6f7a7d2e31c151b54ca8f761b5eb91f401b36104"
+      },
+      {
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+        "participant_share": "970628b9356c0b2cb8123b97998c3ae95141e999afe9e2e829a37339589a24a8"
+      },
+      {
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+        "participant_share": "17f887263c754069fed1fa1fc39df8a4b3db86d06c132fe9a9a189bbb31dc2fb"
+      },
+      {
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+        "participant_share": "98eae592437e75a84591b8a7edafb65fd35c1eb4cf541b701d596b010a04869f"
+      },
+      {
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+        "participant_share": "19dd43ff4a87aae58c51773017c1741b35f5bbeb8b7d68719d578183648824f2"
+      },
+      {
+        "identifier": 16,
+        "participant_share": "9acfa26b5190e023d31135b841d331d6557653cfeebe53f8110f62c8bb6ee896"
+      },
+      {
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+        "participant_share": "1bc200d8589a156119d0f4406be4ef91b80ff106aae7a0f9910d794b15f286e9"
+      },
+      {
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+        "participant_share": "9cb45f445fa34a9f6090b2c895f6ad4cd79088eb0e288c8004c55a906cd94a8d"
+      },
+      {
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+        "participant_share": "1da6bdb166ac7fdca7507150c0086b083a2a2621ca51d98184c37112c75ce8e0"
+      },
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+        "participant_share": "9e991c1d6db5b51aee102fd8ea1a28c359aabe062d92c507f87b52581e43ac84"
+      },
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+      },
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+        "participant_share": "a07dd8f67bc81f967b8face93e3da439dbc4f3214cfcfd8fec314a1fcfae0e7b"
+      },
+      {
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+        "participant_share": "2170376382d154d3c24f6b71684f61f53e5e905809264a916c2f60a22a31acce"
+      },
+      {
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+        "participant_share": "a26295cf89da8a12090f29f992611fb05ddf283c6c673617dfe741e781187072"
+      },
+      {
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+        "participant_share": "2354f43c90e3bf4f4fcee881bc72dd6bc078c573289083195fe55869db9c0ec5"
+      },
+      {
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+        "participant_share": "a44752a897ecf48d968ea709e6849b26dff95d578bd16e9fd39d39af3282d269"
+      },
+      {
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+        "participant_share": "2539b1159ef629cadd4e6592109658e24292fa8e47fabba1539b50318d0670bc"
+      },
+      {
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+      },
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+        "participant_share": "656a9125334361c6f75a7b8b6ca7cc5ef9838b78690c5645fa64287ce682b582"
+      },
+      {
+        "identifier": 231,
+        "participant_share": "e65cef913a4c97053e1a3a1396b98a1a1904235ccc4d41cc6e1c09c23d697926"
+      },
+      {
+        "identifier": 232,
+        "participant_share": "674f4dfe4155cc4284d9f89bc0cb47d57b9dc09388768ecdee1a204497ed1779"
+      },
+      {
+        "identifier": 233,
+        "participant_share": "e841ac6a485f0180cb99b723eadd05909b1e5877ebb77a5461d20189eed3db1d"
+      },
+      {
+        "identifier": 234,
+        "participant_share": "69340ad74f6836be125975ac14eec34bfdb7f5aea7e0c755e1d0180c49577970"
+      },
+      {
+        "identifier": 235,
+        "participant_share": "ea26694356716bfc591934343f0081071d388d930b21b2dc5587f951a03e3d14"
+      },
+      {
+        "identifier": 236,
+        "participant_share": "6b18c7b05d7aa1399fd8f2bc69123ec27fd22ac9c74affddd5860fd3fac1db67"
+      },
+      {
+        "identifier": 237,
+        "participant_share": "ec0b261c6483d677e698b1449323fc7d9f52c2ae2a8beb64493df11951a89f0b"
+      },
+      {
+        "identifier": 238,
+        "participant_share": "6cfd84896b8d0bb52d586fccbd35ba3901ec5fe4e6b53865c93c079bac2c3d5e"
+      },
+      {
+        "identifier": 239,
+        "participant_share": "edefe2f5729640f374182e54e74777f4216cf7c949f623ec3cf3e8e103130102"
+      },
+      {
+        "identifier": 240,
+        "participant_share": "6ee24162799f7630bad7ecdd115935af84069500061f70edbcf1ff635d969f55"
+      },
+      {
+        "identifier": 241,
+        "participant_share": "efd49fce80a8ab6f0197ab653b6af36aa3872ce469605c7430a9e0a8b47d62f9"
+      },
+      {
+        "identifier": 242,
+        "participant_share": "70c6fe3b87b1e0ac485769ed657cb1260620ca1b2589a975b0a7f72b0f01014c"
+      },
+      {
+        "identifier": 243,
+        "participant_share": "f1b95ca78ebb15ea8f1728758f8e6ee125a161ff88ca94fc245fd87065e7c4f0"
+      },
+      {
+        "identifier": 244,
+        "participant_share": "72abbb1495c44b27d5d6e6fdb9a02c9c883aff3644f3e1fda45deef2c06b6343"
+      },
+      {
+        "identifier": 245,
+        "participant_share": "f39e19809ccd80661c96a585e3b1ea57a7bb971aa834cd841815d038175226e7"
+      },
+      {
+        "identifier": 246,
+        "participant_share": "749077eda3d6b5a36356640e0dc3a8130a553451645e1a859813e6ba71d5c53a"
+      },
+      {
+        "identifier": 247,
+        "participant_share": "f582d659aadfeae1aa16229637d565ce29d5cc35c79f060c0bcbc7ffc8bc88de"
+      },
+      {
+        "identifier": 248,
+        "participant_share": "767534c6b1e9201ef0d5e11e61e723898c6f696c83c8530d8bc9de8223402731"
+      },
+      {
+        "identifier": 249,
+        "participant_share": "f7679332b8f2555d37959fa68bf8e144abf00150e7093e93ff81bfc77a26ead5"
+      },
+      {
+        "identifier": 250,
+        "participant_share": "7859f19fbffb8a9a7e555e2eb60a9f000e899e87a3328b957f7fd649d4aa8928"
+      },
+      {
+        "identifier": 251,
+        "participant_share": "f94c500bc704bfd8c5151cb6e01c5cbb2e0a366c0673771bf337b78f2b914ccc"
+      },
+      {
+        "identifier": 252,
+        "participant_share": "7a3eae78ce0df5160bd4db3f0a2e1a7690a3d3a2c29cc41d7335ce118614eb1f"
+      },
+      {
+        "identifier": 253,
+        "participant_share": "fb310ce4d5172a54529499c7343fd831b0246b8725ddafa3e6edaf56dcfbaec3"
+      },
+      {
+        "identifier": 254,
+        "participant_share": "7c236b51dc205f919954584f5e5195ed12be08bde206fca566ebc5d9377f4d16"
+      },
+      {
+        "identifier": 255,
+        "participant_share": "fd15c9bde32994cfe01416d7886353a8323ea0a24547e82bdaa3a71e8e6610ba"
+      },
+      {
+        "identifier": 256,
+        "participant_share": "7e08282aea32ca0d26d3d55fb275116394d83dd90171352d5aa1bda0e8e9af0d"
+      },
+      {
+        "identifier": 257,
+        "participant_share": "fefa8696f13bff4b6d9393e7dc86cf1eb458d5bd64b220b3ce599ee63fd072b1"
+      }
+    ]
+  },
+  "round_one_outputs": {
+    "outputs": [
+      {
+        "identifier": 129,
+        "hiding_nonce_randomness": "666a9e4319012aed9d7ce0d563b4ae5a2ffbdefe6c6b851298cc1dfdf038703f",
+        "binding_nonce_randomness": "984f4fcb0d0eafc0bfeaf50b188c8d7e6579823cc02c2d4f68663e5aa7e9a316",
+        "hiding_nonce": "cb2bdac50f6b2ba9f459be16d38ffaed42f2a74dcc648bc94302b30c72cfed1e",
+        "binding_nonce": "d748e9f73eeb54ac85d6da7b3b0d832b10479ddda0835da744a17a6d7079e1fe",
+        "hiding_nonce_commitment": "0203f9fd6335bd8898012614e56c789bb9dd922d5ea2744d6b58e306ca3ef467ea",
+        "binding_nonce_commitment": "03a779bcaa774d348734768bab5f43cdc9336507874f6cccf0237dc55873e12aba",
+        "binding_factor_input": "023a309ad94e9fe8a7ba45dfc58f38bf091959d3c99cfbd02b4dc00585ec45ab70825371853e974bc30ac5b947b216d70461919666584c70c51f9f56f117736c5d19eee5d2f185086106b56f30df5b840b37c6153e7ac8e0e1e9a6f66ebbc4aff60000000000000000000000000000000000000000000000000000000000000081",
+        "binding_factor": "9d77b703fcc34eb8a232aafa5d78db8c4be9a4ebef8326a6955311b03db628ae"
+      },
+      {
+        "identifier": 256,
+        "hiding_nonce_randomness": "bf1740cd77f9fe74e4c4c7bc755fea2a692ba485cc24a393a8fe43e8e7c2991d",
+        "binding_nonce_randomness": "808ab63ef7a904d556917a4e03802b5707b86534415bda0a16438b9301fda311",
+        "hiding_nonce": "3b9851dcf53de234715a4e121109ed51b51b6d5d01061c792c6a4a4444fc0a86",
+        "binding_nonce": "faacab3fc0db2176dcfd98cce5560d2fe9180bfb899ae649967e13c13d119f5a",
+        "hiding_nonce_commitment": "03229a21ff0eac23a2ec52b0c4291403f9171ea1fccc6002a9dbd32d463aec67bc",
+        "binding_nonce_commitment": "02063d82caab5506217f31d27493ae3eaa956d1237257fa70d49d0931142b9b867",
+        "binding_factor_input": "023a309ad94e9fe8a7ba45dfc58f38bf091959d3c99cfbd02b4dc00585ec45ab70825371853e974bc30ac5b947b216d70461919666584c70c51f9f56f117736c5d19eee5d2f185086106b56f30df5b840b37c6153e7ac8e0e1e9a6f66ebbc4aff60000000000000000000000000000000000000000000000000000000000000100",
+        "binding_factor": "5e167d10de7cd9b6c16c6ecf1fa40b92939c366f533df76490e068b8925d912d"
+      },
+      {
+        "identifier": 257,
+        "hiding_nonce_randomness": "724860ff150f088e695da0aeb0fb6421c12fbd0b6f6592e379807d97f2aeb9d0",
+        "binding_nonce_randomness": "1940e54262030338de4dd120b349e8b53d6103a8c74b795cf4b1092e86780a56",
+        "hiding_nonce": "3ac376b5304487606e86d55ee0ce3e41f55c3d349315a01fefa731fad73aa0f0",
+        "binding_nonce": "e385bc026e786498ccc81ea23f6e9086761734a7158a5ad6b19c03de473b8232",
+        "hiding_nonce_commitment": "0394020ca44176bc3ad92e2a473ce104b6a7871def87ad423a76156cc50954c879",
+        "binding_nonce_commitment": "02696a16a6f1ecfa524b10d8b26d4e2fe46a5b08b7720a5305db57dfae28e9d808",
+        "binding_factor_input": "023a309ad94e9fe8a7ba45dfc58f38bf091959d3c99cfbd02b4dc00585ec45ab70825371853e974bc30ac5b947b216d70461919666584c70c51f9f56f117736c5d19eee5d2f185086106b56f30df5b840b37c6153e7ac8e0e1e9a6f66ebbc4aff60000000000000000000000000000000000000000000000000000000000000101",
+        "binding_factor": "6bd5c2b549521722cbdbc4197a1a2a1398a71b5861fc71cfa1d7ac0ba1034bc2"
+      }
+    ]
+  },
+  "round_two_outputs": {
+    "outputs": [
+      {
+        "identifier": 129,
+        "sig_share": "a7bcf8d542593127a391cdf1b83df475c4608322d7660474f4ce76e3b263b5ca"
+      },
+      {
+        "identifier": 256,
+        "sig_share": "9d47444061493b9ff4bd654b39eb12b18a33638a4f1d66a156c40b5078c47b72"
+      },
+      {
+        "identifier": 257,
+        "sig_share": "2bea459e63abfa8ac03f4217bfe498af6b98e1ac72a1824f8b6850ec3fa67c40"
+      }
+    ]
+  },
+  "final_output": {
+    "sig": "0323061463a6f77b8e3b1c62bb478b405503c0316cbdba5f323d038ce2a2cd215870ee82b5074e6751588e7554b20d9fd6fd45cdabf20d4ee0e341085d6e6b882b"
+  }
+}
\ No newline at end of file
diff --git a/spec/fixtures/secp256k1/vectors-big-identifier.json b/spec/fixtures/secp256k1/vectors-big-identifier.json
new file mode 100644
index 0000000..cddce31
--- /dev/null
+++ b/spec/fixtures/secp256k1/vectors-big-identifier.json
@@ -0,0 +1,1109 @@
+{
+  "config": {
+    "MAX_PARTICIPANTS": "257",
+    "NUM_PARTICIPANTS": "3",
+    "MIN_PARTICIPANTS": "2",
+    "name": "FROST(secp256k1, SHA-256)",
+    "group": "secp256k1",
+    "hash": "SHA-256"
+  },
+  "inputs": {
+    "participant_list": [
+      129,
+      256,
+      257
+    ],
+    "group_secret_key": "0d004150d27c3bf2a42f312683d35fac7394b1e9e318249c1bfe7f0795a83114",
+    "group_public_key": "02f37c34b66ced1fb51c34a90bdae006901f10625cc06c4f64663b0eae87d87b4f",
+    "message": "74657374",
+    "share_polynomial_coefficients": [
+      "fbf85eadae3058ea14f19148bb72b45e4399c0b16028acaf0395c9b03c823579"
+    ],
+    "participant_shares": [
+      {
+        "identifier": 1,
+        "participant_share": "08f89ffe80ac94dcb920c26f3f46140bfc7f95b493f8310f5fc1ea2b01f4254c"
+      },
+      {
+        "identifier": 2,
+        "participant_share": "04f0feac2edcedc6ce1253b7fab8c86b856a797f44d83d82a385554e6e401984"
+      },
+      {
+        "identifier": 3,
+        "participant_share": "00e95d59dd0d46b0e303e500b62b7ccb0e555d49f5b849f5e748c071da8c0dbc"
+      },
+      {
+        "identifier": 4,
+        "participant_share": "fce1bc078b3d9f9af7f57649719e312951ef1dfb55e0f6a4eade8a22170e4335"
+      },
+      {
+        "identifier": 5,
+        "participant_share": "f8da1ab5396df8850ce707922d10e588dada01c606c103182ea1f545835a376d"
+      },
+      {
+        "identifier": 6,
+        "participant_share": "f4d27962e79e516f21d898dae88399e863c4e590b7a10f8b72656068efa62ba5"
+      },
+      {
+        "identifier": 7,
+        "participant_share": "f0cad81095ceaa5936ca2a23a3f64e47ecafc95b68811bfeb628cb8c5bf21fdd"
+      },
+      {
+        "identifier": 8,
+        "participant_share": "ecc336be43ff03434bbbbb6c5f6902a7759aad2619612871f9ec36afc83e1415"
+      },
+      {
+        "identifier": 9,
+        "participant_share": "e8bb956bf22f5c2d60ad4cb51adbb706fe8590f0ca4134e53dafa1d3348a084d"
+      },
+      {
+        "identifier": 10,
+        "participant_share": "e4b3f419a05fb517759eddfdd64e6b66877074bb7b21415881730cf6a0d5fc85"
+      },
+      {
+        "identifier": 11,
+        "participant_share": "e0ac52c74e900e018a906f4691c11fc6105b58862c014dcbc536781a0d21f0bd"
+      },
+      {
+        "identifier": 12,
+        "participant_share": "dca4b174fcc066eb9f82008f4d33d42599463c50dce15a3f08f9e33d796de4f5"
+      },
+      {
+        "identifier": 13,
+        "participant_share": "d89d1022aaf0bfd5b47391d808a688852231201b8dc166b24cbd4e60e5b9d92d"
+      },
+      {
+        "identifier": 14,
+        "participant_share": "d4956ed0592118bfc9652320c4193ce4ab1c03e63ea173259080b9845205cd65"
+      },
+      {
+        "identifier": 15,
+        "participant_share": "d08dcd7e075171a9de56b4697f8bf1443406e7b0ef817f98d44424a7be51c19d"
+      },
+      {
+        "identifier": 16,
+        "participant_share": "cc862c2bb581ca93f34845b23afea5a3bcf1cb7ba0618c0c18078fcb2a9db5d5"
+      },
+      {
+        "identifier": 17,
+        "participant_share": "c87e8ad963b2237e0839d6faf6715a0345dcaf465141987f5bcafaee96e9aa0d"
+      },
+      {
+        "identifier": 18,
+        "participant_share": "c476e98711e27c681d2b6843b1e40e62cec793110221a4f29f8e661203359e45"
+      },
+      {
+        "identifier": 19,
+        "participant_share": "c06f4834c012d552321cf98c6d56c2c257b276dbb301b165e351d1356f81927d"
+      },
+      {
+        "identifier": 20,
+        "participant_share": "bc67a6e26e432e3c470e8ad528c97721e09d5aa663e1bdd927153c58dbcd86b5"
+      },
+      {
+        "identifier": 21,
+        "participant_share": "b86005901c7387265c001c1de43c2b8169883e7114c1ca4c6ad8a77c48197aed"
+      },
+      {
+        "identifier": 22,
+        "participant_share": "b458643dcaa3e01070f1ad669faedfe0f273223bc5a1d6bfae9c129fb4656f25"
+      },
+      {
+        "identifier": 23,
+        "participant_share": "b050c2eb78d438fa85e33eaf5b2194407b5e06067681e332f25f7dc320b1635d"
+      },
+      {
+        "identifier": 24,
+        "participant_share": "ac492199270491e49ad4cff8169448a00448e9d12761efa63622e8e68cfd5795"
+      },
+      {
+        "identifier": 25,
+        "participant_share": "a8418046d534eaceafc66140d206fcff8d33cd9bd841fc1979e65409f9494bcd"
+      },
+      {
+        "identifier": 26,
+        "participant_share": "a439def4836543b8c4b7f2898d79b15f161eb1668922088cbda9bf2d65954005"
+      },
+      {
+        "identifier": 27,
+        "participant_share": "a0323da231959ca2d9a983d248ec65be9f0995313a021500016d2a50d1e1343d"
+      },
+      {
+        "identifier": 28,
+        "participant_share": "9c2a9c4fdfc5f58cee9b151b045f1a1e27f478fbeae22173453095743e2d2875"
+      },
+      {
+        "identifier": 29,
+        "participant_share": "9822fafd8df64e77038ca663bfd1ce7db0df5cc69bc22de688f40097aa791cad"
+      },
+      {
+        "identifier": 30,
+        "participant_share": "941b59ab3c26a761187e37ac7b4482dd39ca40914ca23a59ccb76bbb16c510e5"
+      },
+      {
+        "identifier": 31,
+        "participant_share": "9013b858ea57004b2d6fc8f536b7373cc2b5245bfd8246cd107ad6de8311051d"
+      },
+      {
+        "identifier": 32,
+        "participant_share": "8c0c17069887593542615a3df229eb9c4ba00826ae625340543e4201ef5cf955"
+      },
+      {
+        "identifier": 33,
+        "participant_share": "880475b446b7b21f5752eb86ad9c9ffbd48aebf15f425fb39801ad255ba8ed8d"
+      },
+      {
+        "identifier": 34,
+        "participant_share": "83fcd461f4e80b096c447ccf690f545b5d75cfbc10226c26dbc51848c7f4e1c5"
+      },
+      {
+        "identifier": 35,
+        "participant_share": "7ff5330fa31863f381360e18248208bae660b386c102789a1f88836c3440d5fd"
+      },
+      {
+        "identifier": 36,
+        "participant_share": "7bed91bd5148bcdd96279f60dff4bd1a6f4b975171e2850d634bee8fa08cca35"
+      },
+      {
+        "identifier": 37,
+        "participant_share": "77e5f06aff7915c7ab1930a99b677179f8367b1c22c29180a70f59b30cd8be6d"
+      },
+      {
+        "identifier": 38,
+        "participant_share": "73de4f18ada96eb1c00ac1f256da25d981215ee6d3a29df3ead2c4d67924b2a5"
+      },
+      {
+        "identifier": 39,
+        "participant_share": "6fd6adc65bd9c79bd4fc533b124cda390a0c42b18482aa672e962ff9e570a6dd"
+      },
+      {
+        "identifier": 40,
+        "participant_share": "6bcf0c740a0a2085e9ede483cdbf8e9892f7267c3562b6da72599b1d51bc9b15"
+      },
+      {
+        "identifier": 41,
+        "participant_share": "67c76b21b83a796ffedf75cc893242f81be20a46e642c34db61d0640be088f4d"
+      },
+      {
+        "identifier": 42,
+        "participant_share": "63bfc9cf666ad25a13d1071544a4f757a4ccee119722cfc0f9e071642a548385"
+      },
+      {
+        "identifier": 43,
+        "participant_share": "5fb8287d149b2b4428c2985e0017abb72db7d1dc4802dc343da3dc8796a077bd"
+      },
+      {
+        "identifier": 44,
+        "participant_share": "5bb0872ac2cb842e3db429a6bb8a6016b6a2b5a6f8e2e8a7816747ab02ec6bf5"
+      },
+      {
+        "identifier": 45,
+        "participant_share": "57a8e5d870fbdd1852a5baef76fd14763f8d9971a9c2f51ac52ab2ce6f38602d"
+      },
+      {
+        "identifier": 46,
+        "participant_share": "53a144861f2c360267974c38326fc8d5c8787d3c5aa3018e08ee1df1db845465"
+      },
+      {
+        "identifier": 47,
+        "participant_share": "4f99a333cd5c8eec7c88dd80ede27d35516361070b830e014cb1891547d0489d"
+      },
+      {
+        "identifier": 48,
+        "participant_share": "4b9201e17b8ce7d6917a6ec9a9553194da4e44d1bc631a749074f438b41c3cd5"
+      },
+      {
+        "identifier": 49,
+        "participant_share": "478a608f29bd40c0a66c001264c7e5f46339289c6d4326e7d4385f5c2068310d"
+      },
+      {
+        "identifier": 50,
+        "participant_share": "4382bf3cd7ed99aabb5d915b203a9a53ec240c671e23335b17fbca7f8cb42545"
+      },
+      {
+        "identifier": 51,
+        "participant_share": "3f7b1dea861df294d04f22a3dbad4eb3750ef031cf033fce5bbf35a2f900197d"
+      },
+      {
+        "identifier": 52,
+        "participant_share": "3b737c98344e4b7ee540b3ec97200312fdf9d3fc7fe34c419f82a0c6654c0db5"
+      },
+      {
+        "identifier": 53,
+        "participant_share": "376bdb45e27ea468fa3245355292b77286e4b7c730c358b4e3460be9d19801ed"
+      },
+      {
+        "identifier": 54,
+        "participant_share": "336439f390aefd530f23d67e0e056bd20fcf9b91e1a365282709770d3de3f625"
+      },
+      {
+        "identifier": 55,
+        "participant_share": "2f5c98a13edf563d241567c6c978203198ba7f5c9283719b6acce230aa2fea5d"
+      },
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+      {
+        "identifier": 174,
+        "participant_share": "4fd09b5d3758ab0ce05ff095ebc9f897b3481c62293a7ba76a486cc1a1eaf2e7"
+      },
+      {
+        "identifier": 175,
+        "participant_share": "4bc8fa0ae58903f6f55181dea73cacf73c33002cda1a881aae0bd7e50e36e71f"
+      },
+      {
+        "identifier": 176,
+        "participant_share": "47c158b893b95ce10a43132762af6156c51de3f78afa948df1cf43087a82db57"
+      },
+      {
+        "identifier": 177,
+        "participant_share": "43b9b76641e9b5cb1f34a4701e2215b64e08c7c23bdaa1013592ae2be6cecf8f"
+      },
+      {
+        "identifier": 178,
+        "participant_share": "3fb21613f01a0eb5342635b8d994ca15d6f3ab8cecbaad747956194f531ac3c7"
+      },
+      {
+        "identifier": 179,
+        "participant_share": "3baa74c19e4a679f4917c70195077e755fde8f579d9ab9e7bd198472bf66b7ff"
+      },
+      {
+        "identifier": 180,
+        "participant_share": "37a2d36f4c7ac0895e09584a507a32d4e8c973224e7ac65b00dcef962bb2ac37"
+      },
+      {
+        "identifier": 181,
+        "participant_share": "339b321cfaab197372fae9930bece73471b456ecff5ad2ce44a05ab997fea06f"
+      },
+      {
+        "identifier": 182,
+        "participant_share": "2f9390caa8db725d87ec7adbc75f9b93fa9f3ab7b03adf418863c5dd044a94a7"
+      },
+      {
+        "identifier": 183,
+        "participant_share": "2b8bef78570bcb479cde0c2482d24ff3838a1e82611aebb4cc273100709688df"
+      },
+      {
+        "identifier": 184,
+        "participant_share": "27844e26053c2431b1cf9d6d3e4504530c75024d11faf8280fea9c23dce27d17"
+      },
+      {
+        "identifier": 185,
+        "participant_share": "237cacd3b36c7d1bc6c12eb5f9b7b8b2955fe617c2db049b53ae0747492e714f"
+      },
+      {
+        "identifier": 186,
+        "participant_share": "1f750b81619cd605dbb2bffeb52a6d121e4ac9e273bb110e9771726ab57a6587"
+      },
+      {
+        "identifier": 187,
+        "participant_share": "1b6d6a2f0fcd2eeff0a45147709d2171a735adad249b1d81db34dd8e21c659bf"
+      },
+      {
+        "identifier": 188,
+        "participant_share": "1765c8dcbdfd87da0595e2902c0fd5d130209177d57b29f51ef848b18e124df7"
+      },
+      {
+        "identifier": 189,
+        "participant_share": "135e278a6c2de0c41a8773d8e7828a30b90b7542865b366862bbb3d4fa5e422f"
+      },
+      {
+        "identifier": 190,
+        "participant_share": "0f5686381a5e39ae2f790521a2f53e9041f6590d373b42dba67f1ef866aa3667"
+      },
+      {
+        "identifier": 191,
+        "participant_share": "0b4ee4e5c88e9298446a966a5e67f2efcae13cd7e81b4f4eea428a1bd2f62a9f"
+      },
+      {
+        "identifier": 192,
+        "participant_share": "0747439376beeb82595c27b319daa74f53cc20a298fb5bc22e05f53f3f421ed7"
+      },
+      {
+        "identifier": 193,
+        "participant_share": "033fa24124ef446c6e4db8fbd54d5baedcb7046d49db683571c96062ab8e130f"
+      },
+      {
+        "identifier": 194,
+        "participant_share": "ff3800eed31f9d56833f4a4490c0100d2050c51eaa0414e4755f2a12e8104888"
+      },
+      {
+        "identifier": 195,
+        "participant_share": "fb305f9c814ff6409830db8d4c32c46ca93ba8e95ae42157b9229536545c3cc0"
+      },
+      {
+        "identifier": 196,
+        "participant_share": "f728be4a2f804f2aad226cd607a578cc32268cb40bc42dcafce60059c0a830f8"
+      },
+      {
+        "identifier": 197,
+        "participant_share": "f3211cf7ddb0a814c213fe1ec3182d2bbb11707ebca43a3e40a96b7d2cf42530"
+      },
+      {
+        "identifier": 198,
+        "participant_share": "ef197ba58be100fed7058f677e8ae18b43fc54496d8446b1846cd6a099401968"
+      },
+      {
+        "identifier": 199,
+        "participant_share": "eb11da533a1159e8ebf720b039fd95eacce738141e645324c83041c4058c0da0"
+      },
+      {
+        "identifier": 200,
+        "participant_share": "e70a3900e841b2d300e8b1f8f5704a4a55d21bdecf445f980bf3ace771d801d8"
+      },
+      {
+        "identifier": 201,
+        "participant_share": "e30297ae96720bbd15da4341b0e2fea9debcffa980246c0b4fb7180ade23f610"
+      },
+      {
+        "identifier": 202,
+        "participant_share": "defaf65c44a264a72acbd48a6c55b30967a7e3743104787e937a832e4a6fea48"
+      },
+      {
+        "identifier": 203,
+        "participant_share": "daf35509f2d2bd913fbd65d327c86768f092c73ee1e484f1d73dee51b6bbde80"
+      },
+      {
+        "identifier": 204,
+        "participant_share": "d6ebb3b7a103167b54aef71be33b1bc8797dab0992c491651b0159752307d2b8"
+      },
+      {
+        "identifier": 205,
+        "participant_share": "d2e412654f336f6569a088649eadd02802688ed443a49dd85ec4c4988f53c6f0"
+      },
+      {
+        "identifier": 206,
+        "participant_share": "cedc7112fd63c84f7e9219ad5a2084878b53729ef484aa4ba2882fbbfb9fbb28"
+      },
+      {
+        "identifier": 207,
+        "participant_share": "cad4cfc0ab9421399383aaf6159338e7143e5669a564b6bee64b9adf67ebaf60"
+      },
+      {
+        "identifier": 208,
+        "participant_share": "c6cd2e6e59c47a23a8753c3ed105ed469d293a345644c3322a0f0602d437a398"
+      },
+      {
+        "identifier": 209,
+        "participant_share": "c2c58d1c07f4d30dbd66cd878c78a1a626141dff0724cfa56dd27126408397d0"
+      },
+      {
+        "identifier": 210,
+        "participant_share": "bebdebc9b6252bf7d2585ed047eb5605aeff01c9b804dc18b195dc49accf8c08"
+      },
+      {
+        "identifier": 211,
+        "participant_share": "bab64a77645584e1e749f019035e0a6537e9e59468e4e88bf559476d191b8040"
+      },
+      {
+        "identifier": 212,
+        "participant_share": "b6aea9251285ddcbfc3b8161bed0bec4c0d4c95f19c4f4ff391cb29085677478"
+      },
+      {
+        "identifier": 213,
+        "participant_share": "b2a707d2c0b636b6112d12aa7a43732449bfad29caa501727ce01db3f1b368b0"
+      },
+      {
+        "identifier": 214,
+        "participant_share": "ae9f66806ee68fa0261ea3f335b62783d2aa90f47b850de5c0a388d75dff5ce8"
+      },
+      {
+        "identifier": 215,
+        "participant_share": "aa97c52e1d16e88a3b10353bf128dbe35b9574bf2c651a590466f3faca4b5120"
+      },
+      {
+        "identifier": 216,
+        "participant_share": "a69023dbcb4741745001c684ac9b9042e4805889dd4526cc482a5f1e36974558"
+      },
+      {
+        "identifier": 217,
+        "participant_share": "a288828979779a5e64f357cd680e44a26d6b3c548e25333f8bedca41a2e33990"
+      },
+      {
+        "identifier": 218,
+        "participant_share": "9e80e13727a7f34879e4e9162380f901f656201f3f053fb2cfb135650f2f2dc8"
+      },
+      {
+        "identifier": 219,
+        "participant_share": "9a793fe4d5d84c328ed67a5edef3ad617f4103e9efe54c261374a0887b7b2200"
+      },
+      {
+        "identifier": 220,
+        "participant_share": "96719e928408a51ca3c80ba79a6661c1082be7b4a0c5589957380babe7c71638"
+      },
+      {
+        "identifier": 221,
+        "participant_share": "9269fd403238fe06b8b99cf055d916209116cb7f51a5650c9afb76cf54130a70"
+      },
+      {
+        "identifier": 222,
+        "participant_share": "8e625bede06956f0cdab2e39114bca801a01af4a0285717fdebee1f2c05efea8"
+      },
+      {
+        "identifier": 223,
+        "participant_share": "8a5aba9b8e99afdae29cbf81ccbe7edfa2ec9314b3657df322824d162caaf2e0"
+      },
+      {
+        "identifier": 224,
+        "participant_share": "865319493cca08c4f78e50ca8831333f2bd776df64458a666645b83998f6e718"
+      },
+      {
+        "identifier": 225,
+        "participant_share": "824b77f6eafa61af0c7fe21343a3e79eb4c25aaa152596d9aa09235d0542db50"
+      },
+      {
+        "identifier": 226,
+        "participant_share": "7e43d6a4992aba992171735bff169bfe3dad3e74c605a34cedcc8e80718ecf88"
+      },
+      {
+        "identifier": 227,
+        "participant_share": "7a3c3552475b1383366304a4ba89505dc698223f76e5afc0318ff9a3dddac3c0"
+      },
+      {
+        "identifier": 228,
+        "participant_share": "763493fff58b6c6d4b5495ed75fc04bd4f83060a27c5bc33755364c74a26b7f8"
+      },
+      {
+        "identifier": 229,
+        "participant_share": "722cf2ada3bbc55760462736316eb91cd86de9d4d8a5c8a6b916cfeab672ac30"
+      },
+      {
+        "identifier": 230,
+        "participant_share": "6e25515b51ec1e417537b87eece16d7c6158cd9f8985d519fcda3b0e22bea068"
+      },
+      {
+        "identifier": 231,
+        "participant_share": "6a1db009001c772b8a2949c7a85421dbea43b16a3a65e18d409da6318f0a94a0"
+      },
+      {
+        "identifier": 232,
+        "participant_share": "66160eb6ae4cd0159f1adb1063c6d63b732e9534eb45ee0084611154fb5688d8"
+      },
+      {
+        "identifier": 233,
+        "participant_share": "620e6d645c7d28ffb40c6c591f398a9afc1978ff9c25fa73c8247c7867a27d10"
+      },
+      {
+        "identifier": 234,
+        "participant_share": "5e06cc120aad81e9c8fdfda1daac3efa85045cca4d0606e70be7e79bd3ee7148"
+      },
+      {
+        "identifier": 235,
+        "participant_share": "59ff2abfb8dddad3ddef8eea961ef35a0def4094fde6135a4fab52bf403a6580"
+      },
+      {
+        "identifier": 236,
+        "participant_share": "55f7896d670e33bdf2e120335191a7b996da245faec61fcd936ebde2ac8659b8"
+      },
+      {
+        "identifier": 237,
+        "participant_share": "51efe81b153e8ca807d2b17c0d045c191fc5082a5fa62c40d732290618d24df0"
+      },
+      {
+        "identifier": 238,
+        "participant_share": "4de846c8c36ee5921cc442c4c8771078a8afebf5108638b41af59429851e4228"
+      },
+      {
+        "identifier": 239,
+        "participant_share": "49e0a576719f3e7c31b5d40d83e9c4d8319acfbfc16645275eb8ff4cf16a3660"
+      },
+      {
+        "identifier": 240,
+        "participant_share": "45d904241fcf976646a765563f5c7937ba85b38a7246519aa27c6a705db62a98"
+      },
+      {
+        "identifier": 241,
+        "participant_share": "41d162d1cdfff0505b98f69efacf2d974370975523265e0de63fd593ca021ed0"
+      },
+      {
+        "identifier": 242,
+        "participant_share": "3dc9c17f7c30493a708a87e7b641e1f6cc5b7b1fd4066a812a0340b7364e1308"
+      },
+      {
+        "identifier": 243,
+        "participant_share": "39c2202d2a60a224857c193071b4965655465eea84e676f46dc6abdaa29a0740"
+      },
+      {
+        "identifier": 244,
+        "participant_share": "35ba7edad890fb0e9a6daa792d274ab5de3142b535c68367b18a16fe0ee5fb78"
+      },
+      {
+        "identifier": 245,
+        "participant_share": "31b2dd8886c153f8af5f3bc1e899ff15671c267fe6a68fdaf54d82217b31efb0"
+      },
+      {
+        "identifier": 246,
+        "participant_share": "2dab3c3634f1ace2c450cd0aa40cb374f0070a4a97869c4e3910ed44e77de3e8"
+      },
+      {
+        "identifier": 247,
+        "participant_share": "29a39ae3e32205ccd9425e535f7f67d478f1ee154866a8c17cd4586853c9d820"
+      },
+      {
+        "identifier": 248,
+        "participant_share": "259bf99191525eb6ee33ef9c1af21c3401dcd1dff946b534c097c38bc015cc58"
+      },
+      {
+        "identifier": 249,
+        "participant_share": "2194583f3f82b7a1032580e4d664d0938ac7b5aaaa26c1a8045b2eaf2c61c090"
+      },
+      {
+        "identifier": 250,
+        "participant_share": "1d8cb6ecedb3108b1817122d91d784f313b299755b06ce1b481e99d298adb4c8"
+      },
+      {
+        "identifier": 251,
+        "participant_share": "1985159a9be369752d08a3764d4a39529c9d7d400be6da8e8be204f604f9a900"
+      },
+      {
+        "identifier": 252,
+        "participant_share": "157d74484a13c25f41fa34bf08bcedb22588610abcc6e701cfa5701971459d38"
+      },
+      {
+        "identifier": 253,
+        "participant_share": "1175d2f5f8441b4956ebc607c42fa211ae7344d56da6f3751368db3cdd919170"
+      },
+      {
+        "identifier": 254,
+        "participant_share": "0d6e31a3a67474336bdd57507fa25671375e28a01e86ffe8572c466049dd85a8"
+      },
+      {
+        "identifier": 255,
+        "participant_share": "0966905154a4cd1d80cee8993b150ad0c0490c6acf670c5b9aefb183b62979e0"
+      },
+      {
+        "identifier": 256,
+        "participant_share": "055eeeff02d5260795c079e1f687bf304933f035804718cedeb31ca722756e18"
+      },
+      {
+        "identifier": 257,
+        "participant_share": "01574dacb1057ef1aab20b2ab1fa738fd21ed40031272542227687ca8ec16250"
+      }
+    ]
+  },
+  "round_one_outputs": {
+    "outputs": [
+      {
+        "identifier": 129,
+        "hiding_nonce_randomness": "8a8821b1b7d3bb29e7c2ed156a17fbdb9d4e036e3c0f31ade4d853c40531526d",
+        "binding_nonce_randomness": "b5964e34921c184757523ebfce17f8c8d9a4f8b1a9a6b3ce2c62e75a79e217e8",
+        "hiding_nonce": "8eeee80965c09c9e46ffbcc15d898c383c078c5d03321bc9d5be4ff9653d8ac4",
+        "binding_nonce": "82a3b16d3361e76c8bdfc6c14fc3ad42c38f41cf3f8688226725c9d2dceccf6a",
+        "hiding_nonce_commitment": "022725c75dd202fc7cb2c513233f22ad8293c39a1404db558920ae421ad72e3e9f",
+        "binding_nonce_commitment": "03e89f797796683a7cc673a13773abc7b385781c0469437bd869c9add4243028c0",
+        "binding_factor_input": "02f37c34b66ced1fb51c34a90bdae006901f10625cc06c4f64663b0eae87d87b4fff9b5210ffbb3c07a73a7c8935be4a8c62cf015f6cf7ade6efac09a6513540fc4591618d01f9ce7a67c6787d8a94bf5e6e19150be75f9230c3c4e4db0bd4a1c90000000000000000000000000000000000000000000000000000000000000081",
+        "binding_factor": "68e13faf3c7fb10a039b7dc40eeed6a7b43494c715092ea91f7d4a3aceaf290b"
+      },
+      {
+        "identifier": 256,
+        "hiding_nonce_randomness": "1227d0c4838dbda8f7871bb64cb49545655d65e1da44da38c9062d39e591f290",
+        "binding_nonce_randomness": "bbab58cdb56bcc90a9cde2778a79cfa786372100d60e6a17dd60349ccceb4c88",
+        "hiding_nonce": "a90463d1c2c10e0cb515efa4f448367b26f57ee3c558f87988abbc1b0767ee5a",
+        "binding_nonce": "a15fef4c65aa4c1cf2d54788fae0459a8bddba5d6c87ac6e92ff0b611aae7cb2",
+        "hiding_nonce_commitment": "025f629c95c7ae32b06c432756647d155214832a0c3a2eadaf0836a7db48a53482",
+        "binding_nonce_commitment": "0313a687d82930862532aa5ed50ec740036ddaa757fc8495932b91226ddc3830f7",
+        "binding_factor_input": "02f37c34b66ced1fb51c34a90bdae006901f10625cc06c4f64663b0eae87d87b4fff9b5210ffbb3c07a73a7c8935be4a8c62cf015f6cf7ade6efac09a6513540fc4591618d01f9ce7a67c6787d8a94bf5e6e19150be75f9230c3c4e4db0bd4a1c90000000000000000000000000000000000000000000000000000000000000100",
+        "binding_factor": "b1bc8dfed71f105eed9266eee7e4633c2019e7295f9806e608f48e1cb3375a3d"
+      },
+      {
+        "identifier": 257,
+        "hiding_nonce_randomness": "8e8a7c08ce9f812a140c5f1b65300e65c63314e2ea00a8a7c8992d8e9baa7151",
+        "binding_nonce_randomness": "5dba45da45f873fd04ddd5f359ee52c8657028429f5819a7d8605b1181bfb3b5",
+        "hiding_nonce": "8a1b69c60990699b748993ea0167f82724f42af89bbf5c30b6ee2be3a2e99226",
+        "binding_nonce": "d09486f384c1ad1c8a517c8a0a249a7a638d4c046dc21657829d1baf671107ba",
+        "hiding_nonce_commitment": "02078f2b933818f8d44176927f4538caf0bad7ac885e279089c2ce0f49c6521c50",
+        "binding_nonce_commitment": "0333d6a39834dc8693fb2ac61bcdf9938a1f20eb575072dd7a0d6e896a1e1c351e",
+        "binding_factor_input": "02f37c34b66ced1fb51c34a90bdae006901f10625cc06c4f64663b0eae87d87b4fff9b5210ffbb3c07a73a7c8935be4a8c62cf015f6cf7ade6efac09a6513540fc4591618d01f9ce7a67c6787d8a94bf5e6e19150be75f9230c3c4e4db0bd4a1c90000000000000000000000000000000000000000000000000000000000000101",
+        "binding_factor": "c03ca21f0fc7860918f5642c6851aa842bfdf3cf57294eb60f3aff91825f6087"
+      }
+    ]
+  },
+  "round_two_outputs": {
+    "outputs": [
+      {
+        "identifier": 129,
+        "sig_share": "3c9f4bfd6e88db4e2d99831569a290d032453904d35b045c833c75feae6bad88"
+      },
+      {
+        "identifier": 256,
+        "sig_share": "d1928c93c533f426698940e9734ddf507c50791710be33ad66c97c4091bc7617"
+      },
+      {
+        "identifier": 257,
+        "sig_share": "f82e4ccf9c56d88447bd7c28ef9c9e68721d8eaea79acd77912feb9b7e166568"
+      }
+    ]
+  },
+  "final_output": {
+    "sig": "035018f08dbd0a6d610a311d6f6817e85680f0e6838df4849791e716c8838d0fd206602560d013a7f8dee04027cc8d0e8bab5586fd2d22c509fb9120c11dd20685"
+  }
+}
\ No newline at end of file
diff --git a/spec/frost_spec.rb b/spec/frost_spec.rb
index cbdbc55..06cbd52 100644
--- a/spec/frost_spec.rb
+++ b/spec/frost_spec.rb
@@ -118,12 +118,24 @@
       it_behaves_like "frost process", "secp256k1"
     end
 
+    context "secp256k1 big identifiers" do
+      let(:group) { ECDSA::Group::Secp256k1 }
+      let(:vectors) { load_fixture("secp256k1/vectors-big-identifier.json") }
+      it_behaves_like "Test Vector", "secp256k1 with big identifier"
+    end
+
     context "p256" do
       let(:group) { ECDSA::Group::Secp256r1 }
       let(:vectors) { load_fixture("p256/vectors.json") }
       it_behaves_like "Test Vector", "p256"
       it_behaves_like "frost process", "p256"
     end
+
+    context "p256 big identifiers" do
+      let(:group) { ECDSA::Group::Secp256r1 }
+      let(:vectors) { load_fixture("p256/vectors-big-identifier.json") }
+      it_behaves_like "Test Vector", "p256 with big identifier"
+    end
   end
 
 end