[Resource Topic] 2008/053: Breaking One-Round Key-Agreement Protocols in the Random Oracle Model

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Title:
Breaking One-Round Key-Agreement Protocols in the Random Oracle Model

Authors: Miroslava Sotakova

Abstract:

In this work we deal with one-round key-agreement protocols, called Merkle’s Puzzles, in the random oracle model, where the players Alice and Bob are allowed to query a random permutation oracle n times. We prove that Eve can always break the protocol by querying the oracle O(n^2) times. The long-time unproven optimality of the quadratic bound in the fully general, multi-round scenario has been proven recently by Barak and Mahmoody-Ghidary. The results in this paper have been found independently of their work.

ePrint: https://eprint.iacr.org/2008/053

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