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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,45 @@ | ||
| // Copyright © 2019 Binance, threshold-network | ||
| // | ||
| // This file is part of Binance. The full Binance copyright notice, including | ||
| // terms governing use, modification, and redistribution, is contained in the | ||
| // file LICENSE at the root of the source code distribution tree. | ||
| // | ||
| // derived from https://github.com/threshold-network/tss-lib/blob/2e712689cfbeefede15f95a0ec7112227d86f702/crypto/paillier/paillier.go#L296 | ||
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| package main | ||
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| import ( | ||
| "math/big" | ||
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| "github.com/bnb-chain/tss-lib/v2/ecdsa/keygen" | ||
| ) | ||
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| func isPreParamsUpgradable(preParams *keygen.LocalPreParams) bool { | ||
| return preParams.PaillierSK.P == nil | ||
| } | ||
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| // upgradePreParams derives the missing PaillierSK parameters from the existing ones | ||
| func upgradePreParams(preParams *keygen.LocalPreParams) { | ||
| n := preParams.PaillierSK.PublicKey.N | ||
| phiN := preParams.PaillierSK.PhiN | ||
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| m := new(big.Int).Sub(n, phiN) // pq - (p-1)(q-1) = p + q - 1 | ||
| m.Add(m, big.NewInt(1)) // (p + q - 1) + 1 = p + q | ||
| m.Div(m, big.NewInt(2)) // (p + q) / 2 | ||
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| m2 := new(big.Int).Mul(m, m) // (p + q)^2 / 4 | ||
| // = (pp + qq + 2pq) / 4 | ||
| m2subN := new(big.Int).Sub(m2, n) // ((p + q)^2 / 4) - n = ((p + q)^2 / 4) - pq | ||
| // = (pp + qq + 2pq) / 4 - pq | ||
| // = (pp + qq + 2pq - 4pq) / 4 | ||
| // = (pp - 2pq + qq) / 4 | ||
| // = (p - q)^2 / 4 | ||
| s := new(big.Int).Sqrt(m2subN) // = sqrt((p - q)^2 / 4) | ||
| // = |p - q| / 2 | ||
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| p := new(big.Int).Add(m, s) // (p + q) / 2 + |p - q| / 2, assuming p >= q | ||
| q := new(big.Int).Sub(m, s) // (p + q) / 2 - |p - q| / 2, assuming p >= q | ||
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| preParams.PaillierSK.P = p | ||
| preParams.PaillierSK.Q = q | ||
| } |
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