[Resource Topic] 2007/199: A Framework for Game-Based Security Proofs

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Title:
A Framework for Game-Based Security Proofs

Authors: David Nowak

Abstract:

Information security is nowadays an important issue. Its essential ingredient is cryptography. A common way to present security proofs is to structure them as sequences of games. The main contribution of this paper is a framework which refines this approach. We make explicit important theorems used implicitly by cryptographers but never explicitly stated. Our aim is to have a framework in which proofs are precise enough to be mechanically checked, and readable enough to be humanly checked. We illustrate the use of our framework by proving in a systematic way the so-called semantic security of the encryption scheme ElGamal and its hashed version. All proofs have been mechanically checked in the proof assistant Coq.

ePrint: https://eprint.iacr.org/2007/199

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