Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials

Details Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials Quadratic Binomial APN Functions and Absolutely Irreducible Polynomials

2008-10-24

arxiv.org/abs/0810.4523v1

Mathematics

Number Theory

Scientific paper

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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