我们可以有多个公钥和一个RSA的单个私钥? [英] Can we have multiple public keys with a single private key for RSA?

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问题描述

我们可以有多个公钥与单个私钥进行RSA公钥加密吗?

Can we have multiple public keys associated with a single private key for RSA public-key encryption?

推荐答案

关于安全,没有,数学上,是的。如果你有一个私钥(N,D),代数上有无穷多个解的方程1 = E * D(mod Phi(N))。然而,如果你做出两个这样的解决方案(E,N)和(E',N)都满足公式public,你将危及私钥的秘密。

In practice and with respect to security, no, mathematically, yes. If you have a private key (N,D), there is algebraically an infinite number of solutions to the equation 1 = E*D (mod Phi(N)). However, if you make two such solutions (E,N) and (E',N) that both satisfy the equation public, you will have compromised the secrecy of the private key.

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