Cryptology ePrint Archive: Report 2014/414

A Security Proof of KCDSA using an extended Random Oracle Model

Vikram Singh

Abstract: We describe a tight security reduction to the discrete logarithm problem for KCDSA under an extended Random Oracle Model. This is achieved by generalising the signature scheme and producing a security proof for the generalised scheme. We require the application of Randomized Hashing. We also introduce a Challenger to the Random Oracle Model, who is external to the Simulator and Adversary. The Challenger provides oracle returns for one hash function, and challenges which have a low probability of being met. On presentation of a forged signature the Simulator either identifies an edge case which allows solving of a challenge, or solves the discrete logarithm problem. Hence the tight reduction.

Category / Keywords: public-key cryptography / Cryptography, Provable Security, KCDSA, Tight Reduction, Discrete Logarithm Problem, Random Oracle Model

Date: received 2 Jun 2014

Contact author: vs77814 at gmail com

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Version: 20140604:151048 (All versions of this report)

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