A new improvement of the ElGamal algorithm using hyperelliptic curves over a wireless channel

Authors:
I. Jirón;I. Soto;R. Carrasco
Affiliations:
Industrial Engineering Department, Engineering Faculty, University of Santiago of Chile, Santiago, Chile;Industrial Engineering Department, Engineering Faculty, University of Santiago of Chile, Santiago, Chile and School of Electrical, Electronic and Computer Engineering, University of Newcastle upon ...;School of Electrical, Electronic and Computer Engineering, University of Newcastle upon Tyne, Newcastle upon Tyne, United Kingdom
Venue:
ICCOM'06 Proceedings of the 10th WSEAS international conference on Communications
Year:
2006

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Abstract

The aim of this paper is to show a new improvement of the ElGamal algorithm using the construction of very strong one-way functions based on the concatenation of a family of hyperelliptic curves and a Low-density parity-check code, which allows key exchange, data encryption and reliable data transmission on a fading channel. Further, the security level is studied and compared with other cryptosystems. Finally, the complexity of concatenation algorithm is discussed.