Assessing the effectiveness of artificial neural networks on problems related to elliptic curve cryptography

Authors:
E. C. Laskari;G. C. Meletiou;Y. C. Stamatiou;D. K. Tasoulis;M. N. Vrahatis
Affiliations:
Computational Intelligence Laboratory, Department of Mathematics, University of Patras, GR-26110 Patras, Greece and University of Patras Artificial Intelligence Research Center (UPAIRC), Universit ...;A.T.E.I. of Epirus, P.O. Box 110, GR-47100 Arta, Greece and University of Patras Artificial Intelligence Research Center (UPAIRC), University of Patras, GR-26110 Patras, Greece;Department of Mathematics, University of Ioannina, GR-45110 Ioannina, Greece and University of Patras Artificial Intelligence Research Center (UPAIRC), University of Patras, GR-26110 Patras, Greec ...;Computational Intelligence Laboratory, Department of Mathematics, University of Patras, GR-26110 Patras, Greece and University of Patras Artificial Intelligence Research Center (UPAIRC), Universit ...;Computational Intelligence Laboratory, Department of Mathematics, University of Patras, GR-26110 Patras, Greece and University of Patras Artificial Intelligence Research Center (UPAIRC), Universit ...
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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Abstract

Cryptographic systems based on elliptic curves have been introduced as an alternative to conventional public key cryptosystems. The security of both kinds of cryptosystems relies on the hypothesis that the underlying mathematical problems are computationally intractable, in the sense that they cannot be solved in polynomial time. In this paper, we study the performance of artificial neural networks on the computation of a Boolean function derived from the use of elliptic curves in cryptographic applications.