Short Signatures, Provable Security and Generic Attacks for Multivariate Polynomial Schemes such as HFE, Quartz and Sflash

Nicolas T. Courtois · 2004

The object of this paper is the concrete security of recent multivariate signature schemes. A major challenge is to reconcile some "tricky" ad-hoc constructions that allow to make short signatures, with regular provable security. The paper is composed of two parts.

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