International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: Code-Based Game-Playing Proofs and the Security of Triple Encryption

Mihir Bellare
Phillip Rogaway
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Abstract: The game-playing technique is a powerful tool for analyzing cryptographic constructions. We illustrate this by using games as the central tool for proving security of three-key triple-encryption, a long-standing open problem. Our result, which is in the ideal-cipher model, demonstrates that for DES parameters (56-bit keys and 64-bit plaintexts) an adversary's maximal advantage is small until it asks about $2^{78}$ queries. Beyond this application, we develop the foundations for game playing, formalizing a general framework for game-playing proofs and discussing techniques used within such proofs. To further exercise the game-playing framework we show how to use games to get simple proofs for the PRP/PRF Switching Lemma, the security of the basic CBC MAC, and the chosen-plaintext-attack security of OAEP.
  title={Code-Based Game-Playing Proofs and the Security of Triple Encryption},
  booktitle={IACR Eprint archive},
  keywords={Cryptographic analysis techniques,},
  note={ 13498 received 30 Nov 2004, last revised 16 Dec 2006},
  author={Mihir Bellare and Phillip Rogaway},