As we know, RSA cryptosystem have both private key(a,p,q) and public key(b,n), by chinese remainder theorem and fermat's little theorem, we know that the importance of keep p and q secret, and from this Why is it important that phi(n) is kept a secret, in RSA post , we know $\phi$n need kept secret, but my question is, if n is a public key as encryption needed, how we keep $\phi$n as secret?
Asked
Active
Viewed 278 times
-1
-
4We don't tell people what it is? The problem of finding $\phi(n)$ given $n$ is a hard problem (if $n$ is hard to factor). So, if we give people a number that they can't factor, and we don't give them $\phi(n)$, they can't determine it on their own. – poncho Apr 11 '14 at 17:17
1 Answers
7
How do we keep $\phi(n)$ secret?
We don't tell people what it is. The problem of finding $\phi(n)$ given $n$ is a hard problem (if $n$ is hard to factor). So, if we give people a number that they can't factor, and we don't give them $\phi(n)$, they can't determine it on their own.
poncho
- 147,019
- 11
- 229
- 360