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var bn = require('bn.js'); var randomBytes = require('randombytes'); module.exports = crt; 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 crt(msg, priv) { var blinds = blind(priv); var len = priv.modulus.byteLength(); var mod = bn.mont(priv.modulus); 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); var m2 = c2.redPow(priv.exponent2); m1 = m1.fromRed(); m2 = m2.fromRed(); var h = m1.isub(m2).imul(qinv).umod(p); h.imul(q); m2.iadd(h); return new Buffer(m2.imul(blinds.unblinder).umod(priv.modulus).toArray(false, len)); } crt.getr = getr; function getr(priv) { var len = priv.modulus.byteLength(); var r = new bn(randomBytes(len)); while (r.cmp(priv.modulus) >= 0 || !r.umod(priv.prime1) || !r.umod(priv.prime2)) { r = new bn(randomBytes(len)); } return r; }