Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials

E. Byrne; G. McGuire

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arXiv · 0810.4523

Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials

E. Byrne·G. McGuire

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Abstract

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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E. Byrne, G. McGuire. 2008-10-24. Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials. https://arxiv.org/abs/0810.4523

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