The Frobenius endomorphism to Elliptic Curves and same properties

Authors

  • Jaime Edmundo Apaza Rodriguez Departamento de Matemática, UNESP, Ilha Solteira, Sao Paulo, Brasil.

DOI:

https://doi.org/10.17268/sel.mat.2023.02.09

Keywords:

Frobenius endomorphism, elliptic curve, finite field

Abstract

In this work we present the Frobenius endomorphism for Elliptical Curves defined over finite fields and some of their properties relative to their kernel and the condition of separability.

References

Meireles TAB. Curvas Elípticas e Criptografia[Dissertacao de Mestrado]. Uberlandia: Universidade Federal de Uberlandia; 2020.

Washington LC. Elliptic Curves, Number Theory and Criptography, Discrete Mathematics and its Applications. Second Edition. Maryland: Chapman and Hall/CRC, 2008.

Silverman JH. The Arihmetic of Elliptic Curves. New York: Springer-Verlag, V 106, 2008.

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Published

2023-12-27

How to Cite

Apaza Rodriguez, J. E. (2023). The Frobenius endomorphism to Elliptic Curves and same properties. Selecciones Matemáticas, 10(02), 333 - 338. https://doi.org/10.17268/sel.mat.2023.02.09

Issue

Vol. 10 No. 02 (2023): August - December

Section

Articles

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Copyright (c) 2023 Selecciones Matemáticas

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