The Frobenius endomorphism to Elliptic Curves and same properties

Autores/as

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

DOI:

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

Palabras clave:

Frobenius endomorphism, elliptic curve, finite field

Resumen

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.

Citas

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.

Publicado

2023-12-27

Cómo citar

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