请写一段ed25519的python实现
时间: 2023-02-25 14:56:18 浏览: 32
这是一段简单的 ed25519 加密算法的 Python 实现:
```
import hashlib
import os
b = 256
q = 2**255 - 19
l = 2**252 + 27742317777372353535851937790883648493
def H(m):
return hashlib.sha512(m).digest()
def expmod(b,e,m):
if e == 0: return 1
t = expmod(b,e//2,m)**2 % m
if e & 1: t = (t*b) % m
return t
def inv(x):
return expmod(x,q-2,q)
def generate_keypair(seed=None):
if seed is None:
seed = os.urandom(32)
sk = H(seed)
pk = sk[32:]
return (sk,pk)
def sign(sk,m):
h = H(sk[:32] + m)
a = int.from_bytes(h, 'big')
r = expmod(b,a,l) % q
R = expmod(b,r,q)
S = (r + int.from_bytes(h, 'big') * int.from_bytes(sk[32:], 'big')) * inv(a) % q
return R.to_bytes(32, 'big') + S.to_bytes(32, 'big')
def verify(pk,m,sig):
R = int.from_bytes(sig[:32], 'big')
S = int.from_bytes(sig[32:], 'big')
h = H(pk + m)
a = int.from_bytes(h, 'big')
v = expmod(b,a,q)
z = int.from_bytes(h, 'big')
u = (S * inv(a)) % q
u1 = (z * inv(v)) % q
u2 = (R * inv(v)) % q
return (expmod(b,u1,q) * expmod(R,u2,q)) % q == R
```
此代码仅作为参考,不建议在生产环境中使用。请仔细阅读 ed25519 的官方文档并使用已被证明的实现。