Security Proofs for Signature Schemes



by David Pointcheval and Jacques Stern

Abstract

In this paper, we address the question of providing security proofs for signature schemes in the so-called random oracle model. In particular, we establish the generality of this technique against adaptively chosen message attacks.
Our main application achieves such a security proof for a slight variant of the El Gamal signature scheme where committed values are hashed together with the message.
This is a rather surprising result since the original El Gamal is, as RSA, subject to existential forgery.

Keywords

Signatures, Random Oracle Model, Forking Lemma, El Gamal


Reference

Advances in Cryptology - Proceedings of EUROCRYPT '96
(may 12 - 16, 1996, Zaragoza, Spain)
U. Maurer, Ed.
Pages 387-398, LNCS 1070, © Springer-Verlag, 1996.


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David Pointcheval(LIENS-CNRS, Ecole Normale Supérieure)
Jacques Stern(LIENS, Ecole Normale Supérieure)


David Pointcheval