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x - Faculty of Computer Science - Technische Universität Dresden

x - Faculty of Computer Science - Technische Universität Dresden

s 2 -mod-n-generator as

s 2 -mod-n-generator as sym. encryption system: security Idea: If no probabilistic polynomial test can distinguish pseudo-random streams from real random streams, then the pseudo one-time pad is as good as the one-time pad against polynomial attacker. (Else the attacker is a test !) Construction works with any good PBG 187

s 2 -mod-n-generator as asymmetric encryption system secret area chosen ciphertext-plaintext attack n public key = modulus security- parameter = x0x1x2 ... encryption: create s0 s1 s2 ..., b0 b1 b2 ..., add c(x) = x0 � b0, x1 � b1, ... xk � bk, 1,( sk+1 ) 2 key generation plaintext ciphertext plaintext l p, q decryption: create sk sk-1 ... s1 s0 b0 b1 b2 ..., add real random number x x S random initial value s k+1 private key = factors 1 0 = x 0, x 1, x 2 ..., 188 1 0

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