Lecture Notes in Computer Science, 2008, Volume 4945/2008, 13-27, DOI: 10.1007/978-3-540-88353-1_2

The GPS Identification Scheme Using Frobenius Expansions

Waldyr D. Benits and Steven D. Galbraith

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Abstract

The Girault-Poupard-Stern (GPS) identification scheme is designed for public key cryptography on very restricted devices. We propose a variant of GPS for Koblitz elliptic curves using Frobenius expansions. The idea is to use Frobenius expansions throughout the protocol, so there is no need to convert between integers and Frobenius expansions. We give a security analysis of the proposed scheme.

Keywords  Elliptic Curves - Frobenius expansions - GPS identificaion scheme

The work described in this paper has been supported in part by the European Commission through the IST Programme under Contract IST-2002-507932 ECRYPT.

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