Lines Matching refs:composite
3225 RSA is a public key algorithm that is based on the inability to find the \textit{e-th} root modulo a composite of unknown
3231 $\mbox{lcm}(p - 1, q - 1)$. The public key consists of the composite $N$ and some integer $e$ such that
3232 $\mbox{gcd}(e, \phi(N)) = 1$. The private key consists of the composite $N$ and the inverse of $e$ modulo $\phi(N)$
4886 composite. No prime number will fail the two phases but composites can. Each round of the Rabin-Miller algorithm reduces
4896 In the event that a composite did make it through it would most likely cause the the algorithm trying to use it to fail. For
4898 as $\phi(pq)$ or $(p - 1)(q - 1)$. The decryption exponent $d$ is found as $de \equiv 1\mbox{ }(\mbox{mod } \phi(pq))$. If either $p$ or $q$ is composite the value of $d$ will be incorrect and the user
4899 will not be able to sign or decrypt messages at all. Suppose $p$ was prime and $q$ was composite this is just a variation of
