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x - Faculty of Computer Science - Technische Universität Dresden

x - Faculty of Computer Science - Technische Universität Dresden

secret area plaintext

secret area plaintext RSA as asymmetric encryption system: example encryption key generation: p, q 3, 11 n 33 c 13 with gcd(13,20)=1 d 17 (-2) 13 � 2517 17 � (-8) � 648�(-8) � 31 25 31 random number‘ (-2) 5 �(-2) 5 �(-2) 3 � 1�1�(-8) � 25 13, 33 encryption key, publicly known ciphertext decryption 17, 33 random number decryption key, kept secret (-2) 8 �(-8) � (-2) 5 �(-2) 5 �(-2) � 1�1�(-2) � 31 plaintext 213

secret area text with signature and test result x, s(x), t(x, s(x)) RSA as digital signature system: naive “decryption” (s(x)) t =(x s ) t � x mod n t, n key to test the signature, publicly known text with signature x, s(x) key generation: p, q prime numbers n := p�q t with gcd(t,(p -1)(q -1) = 1 s � t -1 mod (p -1)(q -1) “encryption” x s mod n s, n random number key to sign, kept secret text x 214 random number‘

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