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Mathematics, 26.11.2019 06:31 22millt
Suppose that (n, e) is an rsa encryption key, with n = pq, where p and q are large primes and gcd(e, (p − 1)(q − 1)) = 1. furthermore, suppose that d is an inverse of e modulo (p − 1)(q − 1). suppose that c ≡ me (mod pq). in the text we showed that rsa decryption, that is, the congruence cd ≡ m (mod pq) holds when gcd(m, pq) = 1. show that this decryption congruence also holds when gcd(m, pq) > 1. [hint: use congruences modulo p and modulo q and apply the chinese remainder theorem.]
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Suppose that (n, e) is an rsa encryption key, with n = pq, where p and q are large primes and gcd(e,...
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