Compare commits

...

3 Commits

View File

@ -271,10 +271,18 @@ def hash6(triple_G: Tuple[point, point, point]) -> int:
def f(x: int, f_modulus: list, T: int) -> int: def f(x: int, f_modulus: list, T: int) -> int:
""" """ '''
功能: 通过多项式插值来实现信息的分散和重构
例如: 随机生成一个多项式f(x)=4x+5,质数P=11,其中f(0)=5,将多项式的系数分别分配给两个人,例如第一个人得到(1, 9),第二个人得到(2, 2).如果两个人都收集到了这两个点,那么可以使用拉格朗日插值法恢复原始的多项式,进而得到秘密信息"5"
param:
x, f_modulus(多项式系数列表), T(门限)
return:
res
'''
res = 0 res = 0
for i in range(T): for i in range(T):
res += f_modulus[i] * pow(x, i) res += f_modulus[i] * pow(x, i)
res = res % sm2p256v1.P
return res return res
@ -324,6 +332,7 @@ def Encapsulate(pk_A: point) -> Tuple[int, capsule]:
E = multiply(g, r) E = multiply(g, r)
V = multiply(g, u) V = multiply(g, u)
s = u + r * hash2((E, V)) s = u + r * hash2((E, V))
s = s % sm2p256v1.P
pk_A_ru = multiply(pk_A, r + u) pk_A_ru = multiply(pk_A, r + u)
K = KDF(pk_A_ru) K = KDF(pk_A_ru)
capsule = (E, V, s) capsule = (E, V, s)