WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 18, 2019

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 18, 2019


Elliptic Curve on a Family of Finite Ring

AUTHORS: Mohammed Sahmoudi, Abdelhakim Chillali

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KEYWORDS: Integral basis, Finite ring, Local ring, Elliptic curve

REFERENCES:

[ 1] A. Chillali Elliptic curves of the ring Fq(ε), ε^n = 0, Int. Math Forum, 6 (2011), 1501-1505

[2] A. Chillali and M. Sahmoudi, Cryptography over sextic extension with cubic subfield, World Academy Sci. Engrg. Technol. 9 (2015), 246- 249.

[3] A. Tadmori, A. Chillali and M. Ziane, Cryptography over the elliptic curve Ea,b(A3), Journal of Taibah University for Science, 9 3, (2015), 326-331.

[4] H. Hassib, A. Chillali and M. Abdou Elomary, Elliptic curves over a chain ring of characteristic 3, Journal of Taibah University for Science, 9 3, (2015), 276-287.

[5] JH.Silverman , The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, 2009

[6] M. E. Charkani and M. Sahmoudi, Sextic extension with cubic subfield, JP J Algebra, Number Theory Appl. 34 (2014), 139-150.

[7] M. Sahmoudi, Explicit integral basis for a family of sextic field, Gulf J. Math. 4 (2016), 217-222.

[8] M. Sahmoudi and A. Chillali, Key exchange over particular algebaic closure ring, Tatra Mt. Math. Publ. 70 (2017), 151-162.

[9] M. Sahmoudi and A. Soullami, On Sextic Integral Bases Using Relative Quadratic Extention, Bol. Soc. Paran. Mat.. (3s.)v.38 4 (2020), 175180.

[10] M. Virat, Courbe elliptique sur un anneau et applications cryptographiques, Thse Docteur en Sciences, Nice-Sophia Antipolis, (2009).

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 18, 2019, Art. #50, pp. 415-422


Copyright Β© 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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