diff --git a/src/tpre.py b/src/tpre.py index b9d782d..ce66bb7 100644 --- a/src/tpre.py +++ b/src/tpre.py @@ -22,9 +22,6 @@ sm2p256v1 = CurveFp( Gx=0x32C4AE2C1F1981195F9904466A39C9948FE30BBFF2660BE1715A4589334C74C7, Gy=0xBC3736A2F4F6779C59BDCEE36B692153D0A9877CC62A474002DF32E52139F0A0 ) - -# sec需要重新设置 -sec = 256 def multiply(a: Tuple[int, int], n: int) -> Tuple[int, int]: N = sm2p256v1.N @@ -178,7 +175,15 @@ def Setup(sec: int) -> Tuple[CurveFp, Tuple[int, int], digest = int.from_bytes(digest,'big') % sm2p256v1.P return digest - KDF = Sm3() #pylint: disable=e0602 + # KDF = Sm3() #pylint: disable=e0602 + def KDF(double_G: Tuple[int, int], num: int) -> int: + sm3 = Sm3() + for i in double_G: + sm3.update(i.to_bytes(32)) + sm3.update(num.to_bytes(32)) + digest = sm3.digest() + digest = int.from_bytes(digest,'big') % sm2p256v1.P + return digest return G, g, U, hash2, hash3, hash4, KDF @@ -205,7 +210,6 @@ def GenerateKeyPair( secret_key = int.from_bytes(bytes(sm2.private_key),"big") return public_key, secret_key - def Enc(pk: Tuple[int, int], m: int) -> Tuple[Tuple[ Tuple[int, int],Tuple[int, int], int], int]: @@ -246,31 +250,39 @@ def f(x: int, f_modulus: list, T: int) -> int: res += f_modulus[i] * pow(x, i) return res -def GenerateReKey(N: int, T: int) -> list: +# 生成A和B的公钥和私钥 +pk_A, sk_A = GenerateKeyPair(0, ()) +pk_B, sk_B = GenerateKeyPair(0, ()) + +# sec需要重新设置 +sec = 256 + +# 调用Setup函数 +G, g, U, hash2, hash3, hash4, KDF = Setup(sec) + +def GenerateReKey(sk_A, pk_B, N: int, T: int) -> list: ''' param: skA, pkB, N(节点总数), T(阈值) return rki(0 <= i <= N-1) ''' - g_a, a = GenerateKeyPair(0, ()) - g_b, b = GenerateKeyPair(0, ()) # 计算临时密钥对(x_A, X_A) x_A = random.randint(0, G.P - 1) X_A = multiply(g, x_A) # d是Bob的密钥对与临时密钥对的非交互式Diffie-Hellman密钥交换的结果 - d = hash3((X_A, multiply(g, b), multiply(g, b * x_A))) + d = hash3((X_A, pk_B, multiply(pk_B, x_A))) # 计算多项式系数, 确定代理节点的ID(一个点) f_modulus = [] # 计算f0 - f0 = (a * inv(d, G.P)) % G.P + f0 = (sk_A * inv(d, G.P)) % G.P f_modulus.append(f0) # 计算fi(1 <= i <= T - 1) for i in range(1, T): f_modulus.append(random.randint(0, G.P - 1)) # 计算D - D = H6((X_A, multiply(g, b), multiply(g, b * a))) + D = H6((X_A, pk_B, multiply(pk_B, sk_A))) # 计算KF KF = [] @@ -285,9 +297,12 @@ def GenerateReKey(N: int, T: int) -> list: return KF -# 测试GenerateReky函数 -# G, g, U, hash2, hash3, hash4, KDF = Setup(sec) -# KF = GenerateReKey(30, 20) -# for i in KF: -# for j in i: -# print(j) \ No newline at end of file +def Encapsulate(pk_A: Tuple[int, int]) -> Tuple[int, Tuple[Tuple[int, int], Tuple[int, int], int]]: + r = random.randint(0, G.P - 1) + u = random.randint(0, G.P - 1) + E = multiply(g, r) + V = multiply(g, u) + s = u + r * hash2((E, V)) + K = KDF(pk_A, r + u) + capsule = (E, V, s) + return (K, capsule) \ No newline at end of file