From 4480b5b1507ba356575a55c513623c75d9992ae2 Mon Sep 17 00:00:00 2001
From: John Driscoll <john@bitgo.com>
Date: Wed, 11 Oct 2023 03:18:32 -0500
Subject: [PATCH] chore(sdk-lib-mpc): fix range for mu, nu, x, y in no small
 factors

TICKET: WP-132

TICKET: WP-132
---
 modules/sdk-lib-mpc/src/tss/ecdsa/index.ts    |   1 +
 .../src/tss/ecdsa/noSmallFactorsProof.ts      |   8 +-
 modules/sdk-lib-mpc/src/tss/ecdsa/types.ts    |   4 +-
 .../fixtures/mockNoSmallFactorsProof.json     | 192 +++++++++---------
 4 files changed, 103 insertions(+), 102 deletions(-)

diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts
index 00faf60ce0..88509d43b1 100644
--- a/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts
+++ b/modules/sdk-lib-mpc/src/tss/ecdsa/index.ts
@@ -1,6 +1,7 @@
 export * as EcdsaTypes from './types';
 export * as EcdsaRangeProof from './rangeProof';
 export * as EcdsaPaillierProof from './paillierProof';
+export * as EcdsaPaillierBlumProof from './paillierBlumProof';
 export * as EcdsaZkVProof from './zkVProof';
 export * as EcdsaNoSmallFactorsProof from './noSmallFactorsProof';
 export * from './generatePaillierKey';
diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts
index 66cc7ddcc7..bc8eeed095 100644
--- a/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts
+++ b/modules/sdk-lib-mpc/src/tss/ecdsa/noSmallFactorsProof.ts
@@ -108,16 +108,16 @@ export function prove(
   const beta = randBetween(sqrtN0 << (ELL + EPSILON), -sqrtN0 << (ELL + EPSILON));
   const rho = randBetween((nHat * n0) << ELL, -(nHat * n0) << ELL);
   // Commit to p.
-  const mu = randBetween(BigInt(1) << ELL, BigInt(-1) << ELL);
+  const mu = randBetween(nHat << ELL, -nHat << ELL);
   const P = (modPow(s, p, nHat) * modPow(t, mu, nHat)) % nHat;
   // Commit to q.
-  const nu = randBetween(BigInt(1) << ELL, BigInt(-1) << ELL);
+  const nu = randBetween(nHat << ELL, -nHat << ELL);
   const Q = (modPow(s, q, nHat) * modPow(t, nu, nHat)) % nHat;
   // Commit to alpha.
-  const x = randBetween(BigInt(1) << (ELL + EPSILON), BigInt(-1) << (ELL + EPSILON));
+  const x = randBetween(nHat << (ELL + EPSILON), -nHat << (ELL + EPSILON));
   const A = (modPow(s, alpha, nHat) * modPow(t, x, nHat)) % nHat;
   // Commit to beta.
-  const y = randBetween(BigInt(1) << (ELL + EPSILON), BigInt(-1) << (ELL + EPSILON));
+  const y = randBetween(nHat << (ELL + EPSILON), -nHat << (ELL + EPSILON));
   const B = (modPow(s, beta, nHat) * modPow(t, y, nHat)) % nHat;
   // Commit to Q and alpha.
   const r = randBetween((nHat * n0) << (ELL + EPSILON), -(nHat * n0) << (ELL + EPSILON));
diff --git a/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts b/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts
index 2eebe6f6f0..cb925b5462 100644
--- a/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts
+++ b/modules/sdk-lib-mpc/src/tss/ecdsa/types.ts
@@ -349,8 +349,8 @@ export function serializeNoSmallFactorsProof(
     rho: signedBigIntToHex(noSmallFactorsProof.rho, 2 * (2 * 384 + 256 / 8)),
     z1: signedBigIntToHex(noSmallFactorsProof.z1, 2 * (1 + 384 / 2 + (256 + 2 * 256) / 8)),
     z2: signedBigIntToHex(noSmallFactorsProof.z2, 2 * (1 + 384 / 2 + (256 + 2 * 256) / 8)),
-    w1: signedBigIntToHex(noSmallFactorsProof.w1, 2 * (1 + (256 + 2 * 256) / 8)),
-    w2: signedBigIntToHex(noSmallFactorsProof.w2, 2 * (1 + (256 + 2 * 256) / 8)),
+    w1: signedBigIntToHex(noSmallFactorsProof.w1, 2 * 384 + 2 * (1 + (256 + 2 * 256) / 8)),
+    w2: signedBigIntToHex(noSmallFactorsProof.w2, 2 * 384 + 2 * (1 + (256 + 2 * 256) / 8)),
     v: signedBigIntToHex(noSmallFactorsProof.v, 2 * (1 + 384 * 2 + (256 + 2 * 256) / 8)),
     nonce: bigIntToHex(noSmallFactorsProof.nonce, 2 * 33),
   };
diff --git a/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json b/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json
index fc9a4e8d91..ff49e7412a 100644
--- a/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json
+++ b/modules/sdk-lib-mpc/test/fixtures/mockNoSmallFactorsProof.json
@@ -1,107 +1,107 @@
 [
   {
-    "n0": "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",
-    "p": "011530c66a97418fb4af3b405f729c191ecd2a5430af52f05685d5ef3b4d81901bb36483e042db70defd8a6e89ef134424ec3202df14f8bd9b0e039845bc74b059d30049cd240cfe180feb0bdbf8057a7b1aaf89c2d27847544cded130e271e7d6a6e23569183433b431e88ca94915a157c6e4f81e91069770061b3f11bbedb2670b5ba088135ae9444a0d449c372fd3112f5fbb771b65a429a21cf20b58473adceb99413c482823a1d6def7a1ec8beff83f2ee68e7c2b2b1abca3eeeea7a88f3f",
-    "q": "da7207fe8d2018fd850ba9050039ae5b9f1b73b7ff408806de21ea8ec7319a9cff8e5c0939a5fec11ff667b57e88677af4edd5351f0e19c238b93b162c59a2d7412a59297adbe58e9f88bdd08c55cbfc0fa777e8142e9d5b93face0816e5f2e97b8238ae6b4d19e8914944fcdd56f50583d73faf3cedae62706eb87521235e7273e61ca92a5e7b29454bf3e8892a6f439ec7e74eef04f36992e3c3aaf9954d3d3466ca61e6af2f5e6f3eb280e6620587f62c4097ae4f314374f9dcdbd698dc2b",
-    "w": "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",
-    "nHat": "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",
-    "s": "183acc1fb0a2e0b2a1cc399c5962877f04033caef71f62813239418eba69abaf3222132eff1e6a34113c84a4504391c23ac5a29b7d5afc44e1ac41c8548693749bebc2816109bcc47ef2bab60ac71b18f77d8d3114c695f917f687e308a0570ab96aa7a2e0f93d97da184bffc3056c422c5ad8c0d77572d203323c584c4fea2d4074ee7f367376587cb579916bcdf850b845767676b63c0c6823b91f155b7975d6c79af8723ce6ae4da1e4f85f76c4bc81bdd1fa7da46dd3224fe2e963ce54bf2d198f6d974d057fb7fc67cd62f6862de0618e76802558bd52eac8a87a0285ce1db0363276ca4e24ebafde2075fa762990da13f24efc1f0e14209cfd49ff33c3bea8990c533cc7a4494e913a406d9c7a4e449a1b09ddd4a670440870735dc0e0464d22a2b66de9e8bebc34f5e68de8979c3879b86ef6d48ab7f78058e272417b698de9be3e8c93c3fd0f13fc8a427c017e506cdbd71c36149c5dc4f7bb66ffc58910a94f557b59abb1e3eeb8ff3703409d999d943ef784e6e1a675bc41504011",
-    "t": "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",
-    "P": "0039b6b0d54bcd585a96bd75a9856f1a82e744476db43ff512f49bfefd6775bc18ac3f0fb26d2c50d92da32f6685b194436e8dd9b9fe394cb210211304191bee2e819e67c4abeef8c5907a5360f5ac85669b8834a6d3cd16a77cdbb3f90a73390804366c33f8219e9a1c0278246dc08121b77f739756fbbae863a65e7d42423ef23e9664b34716bde4b1e8024e02fba0b314d798111311365a8265fe1f6e83f7a4e26b97a93f6228dfda2206b3da6f40f9ae67296e1d9ba004716621f80404cd1c3ec3f13e610a6d8fe14574ad2d8b0605e96174bd7596b7e214c8b3a4a61641ac5f12b9d6cac6b0eef7e15056ae76f79079a9b639901ced1b294f677f25718a71af56cd974775a7dd2eab0800d1a348145f862ab650491c7dedff39a2251070712c9a14bf9747f146dab2098a1ef34d966a36d607015987293c36507036ffbf6903adf73fd5630bf137b2ad97e08a1fc3a3550a4e45dc35f1e94524ba7b994f914b859540e18722804d444d6fcf37b716cfa6ed3c1ef7a60935fa5537c7a1c12c",
-    "Q": "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",
-    "A": "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",
-    "B": "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",
-    "T": "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",
-    "rho": "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",
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+    "nonce": "41347ccdf7f0bd597205c0a56bd994115b2d68a6dc024435fd3d6741b25930a175"
   }
-]
+]
\ No newline at end of file