Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials

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We show that many quadratic binomial functions on a finite field of characteristic 2 are not APN infinitely often. This is of interest in the light of recent discoveries of new families of quadratic binomial APN functions. The proof uses the Weil bound from algebraic geometry.

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Number Theory, Algebraic Geometry, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/172410

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4523
 http://arxiv.org/abs/0810.4523

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arXiv