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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 3 | Year 2018 | Article Id. IJMTT-V59P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P524

A Study on Discrete Logarithm Problem in Circulant Matrices


Anu Pius, Senthil Kumar
Abstract

In public key cryptography, discrete logarithm problem plays a vital part. In this paper we contemplate the discrete logarithm issue in circulant matrices over a limited field.

Keywords
The discrete logarithm problem, circulant matrices.
References

[1] A. Mahalanobis, A note on using finite non-abelian p-groups in the MOR cryptosystem, http://arxiv.org/abs/cs/0702095.
[2] A. Mahalanobis, A simple generalization of the ElGamal cryptosystem to non abeliangroups II, http://arxiv.org/abs/0706.3305.
[3] A. J. Menezes (ed.), Aplications of Finite Fields, Kluwer, 1993.
[4] A. Menezes and Y.-H. Wu, The discrete logarithm problem inGL.(n; q),Ars Comb.47 (1997), 23–32.
[5] J.H. Silverman, Fast multiplication in finite fields GF.2N/, in: CHES’99, LNCS 1717, pp. 122–134, 1999.
[6] J.H. SilvermanRings with low multiplicative complexity, Finite Fields and their Appl. 6 (2000), 175–191.
[7] P. J. Davis, Circulant Matrices, Chelsea, 1994.
[8] R. Lidl and H. Niederreiter, Finite Fields, 2nd ed., Cambridge University Press, 1997.
[9] W.C.Waterhouse, Circulant-StyleMatrices closed undermultiplication, Lin. Multilin.Algebra18 (1985), 197–206.

Citation :

Anu Pius, Senthil Kumar, "A Study on Discrete Logarithm Problem in Circulant Matrices," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 3, pp. 153-156, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P524

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