用python实现 基于RSA实现如下“盲签名(Blind signature)” Blind signature schemes, first introduced by Chaum , allow a person to get a message signed by another party without revealing any information about the message to the other party. Using RSA, Chaum demonstrated the implementation of this concept as follows: Suppose Alice has a message m that she wishes to have signed by Bob, and she does not want Bob to learn anything about m. Let (n; e) be Bob’s public key and (n; d) be his private key. Alice generates a random value r such that gcd(r , n) = 1 and sends m’ = (rem) mod n to Bob. The value m’ is ‘‘blinded’’ by the random value r, hence Bob can derive no useful information from it. Bob returns the signed value s’ = m’d mod n to Alice. Since m’d = (rem)d = r*md (mod n); Alice can obtain the true signature s of m by computing s = r-1s’ mod n. Here r*r-1 = 1 mod n. Now Alice’s message has a signature she could not have obtained on her own. This signature scheme is secure provided that factoring and root extraction remains difficult. However, regardless of the status of these problems the signature scheme is unconditionally ‘‘blind’’ since r is random. The random r does not allow the signer to learn about the message even if the signer can solve the underlying hard problems.
时间: 2024-02-14 07:07:21 浏览: 183
毕业设计-基于python基于RSA算法的数字签名生成软件毕业设计与实现(源码+数据库+演示视频).zip
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好的,我可以帮你解决这个问题。我们可以使用Python语言中的pycryptodome库来实现这个基于RSA的盲签名方案。这个库提供了RSA加密和解密的功能,可以很方便地实现盲签名。
以下是实现代码:
```python
from Crypto.PublicKey import RSA
import random
# 生成RSA公私钥对
key = RSA.generate(2048)
public_key = key.publickey()
# Alice要发送的明文消息
message = b"Hello, world!"
# 随机生成盲化因子r
r = random.randint(0, public_key.n - 1)
while RSA.GCD(r, public_key.n) != 1:
r = random.randint(0, public_key.n - 1)
# 对明文消息进行盲化
blinded_message = pow(r, public_key.e, public_key.n) * int.from_bytes(message, 'big') % public_key.n
# Bob对盲化消息进行签名
blinded_signature = pow(blinded_message, key.d, public_key.n)
# Alice对盲化签名进行反盲化得到真正的签名
signature = pow(r, -1, public_key.n) * blinded_signature % public_key.n
# 打印签名结果
print("Blinded signature:", blinded_signature)
print("Signature:", signature)
```
在这个例子中,我们首先生成了一个2048位的RSA公私钥对。然后,Alice要发送的明文消息是"Hello, world!"。接着,我们随机生成一个盲化因子r,要求r和公钥n互质。然后,我们对明文消息进行盲化,得到盲化消息。Bob对盲化消息进行签名,得到盲化签名。最后,Alice对盲化签名进行反盲化,得到真正的签名。
需要注意的是,这里我们使用了Python中的bytes类型来表示明文消息和签名结果。在实际应用中,需要根据具体的情况进行处理。
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