A new public key cryptography algorithm using chaotic systems and hyperelliptic curves

Authors:
Rodrigo Abarzúa;Ivan Jirón;Miguel Alfaro;Ismael Soto
Affiliations:
Departamento de Ingeniería Industrial, Universidad de Santiago de Chile, Santiago, Chile;Departamento de Ingeniería Industrial, Universidad de Santiago de Chile, Santiago, Chile;Departamento de Ingeniería Industrial, Universidad de Santiago de Chile, Santiago, Chile;Departamento de Ingeniería Industrial, Universidad de Santiago de Chile, Santiago, Chile
Venue:
ICS'06 Proceedings of the 10th WSEAS international conference on Systems
Year:
2006

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Abstract

The aim of this paper is to make a contribution to the development of the new stronger cryptographic algorithm using chaotic systems and hyperelliptic curve. In this context, the Diffie-Hellman scheme is implemented with chaotic systems and ElGamal scheme is constructed with hyperelliptic curves. Futhermore, the complexity algorithm is determinated for proposed algorithm. Also, this algorithm is compared with other system and BER v/s SNR curves are obtain in developed experiments.