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x - Faculty of Computer Science - Technische Universität Dresden

x - Faculty of Computer Science - Technische Universität Dresden

Reminder: Summary

Reminder: Summary of PBG and motivation of GMR s 2 -mod-n-generator is secure against passive attackers for arbitrary distributions of messages Terms: reason for arrow: random number’ in picture asymmetric encryption systems memorize term: probabilistic encryption one-way function one-way permutation Motivation: one-way = nearly nowhere practically invertible variant: invertible with secret (trap door) active attack on s 2 -mod-n-generator as asymmetric encryption system 195

constructive proof often Scheme of security proofs (1) passive attacker attacked person Alg.1: get to know something about the plaintext (or provide signature, respectively) call result Alg.2: solve the number theoretic problem result Alg.3: get secret key ciphertext . . . • choose random number • generate key • publish a part of the key, if appropriate 196

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