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x - Faculty of Computer Science - Technische Universität Dresden

x - Faculty of Computer Science - Technische Universität Dresden

Naive insecure use

Naive insecure use of RSA RSA as asymmetric encryption system Code message (if necessary in several pieces) as number m < n Encryption of m: m c mod n Decryption of m c : (m c ) d mod n = m RSA as digital signature system � Renaming: c � t, d ��s Signing of m: m s mod n Testing of m, m s : (m s ) t mod n = m ? 211

secret area plaintext x random number‘ RSA as asymmetric encryption system: naive encryption x c mod n c, n encryption key, publicly known ciphertext c(x) key generation: p, q prime numbers n := p�q c with gcd(c,(p -1)(q -1)) = 1 d � c -1 mod (p -1)(q -1) decryption d, n (c(x)) d =(x c ) d � x mod n random number decryption key, kept secret plaintext x 212

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