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var BN = require('bn.js') var randomBytes = require('randombytes') function blind (priv) { var r = getr(priv) var blinder = r.toRed(BN.mont(priv.modulus)).redPow(new BN(priv.publicExponent)).fromRed() return { blinder: blinder, unblinder: r.invm(priv.modulus) } } function getr (priv) { var len = priv.modulus.byteLength() var r do { r = new BN(randomBytes(len)) } while (r.cmp(priv.modulus) >= 0 || !r.umod(priv.prime1) || !r.umod(priv.prime2)) return r } function crt (msg, priv) { var blinds = blind(priv) var len = priv.modulus.byteLength() var blinded = new BN(msg).mul(blinds.blinder).umod(priv.modulus) var c1 = blinded.toRed(BN.mont(priv.prime1)) var c2 = blinded.toRed(BN.mont(priv.prime2)) var qinv = priv.coefficient var p = priv.prime1 var q = priv.prime2 var m1 = c1.redPow(priv.exponent1).fromRed() var m2 = c2.redPow(priv.exponent2).fromRed() var h = m1.isub(m2).imul(qinv).umod(p).imul(q) return m2.iadd(h).imul(blinds.unblinder).umod(priv.modulus).toArrayLike(Buffer, 'be', len) } crt.getr = getr module.exports = crt