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Some Results on the Known Classes of Quadratic APN Functions.

Lilya Budaghyan, Tor Helleseth, Nian Li, Bo Sun

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Abstract

In this paper, we determine the Walsh spectra of three classes of quadratic APN functions and we prove that the class of quadratic trinomial APN functions constructed by Gologlu is affine equivalent to Gold functions.

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What this paper is about

In this paper, we determine the Walsh spectra of three classes of quadratic APN functions and we prove that the class of quadratic trinomial APN functions constructed by Gologlu is affine equivalent to Gold functions.

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Available abstract

In this paper, we determine the Walsh spectra of three classes of quadratic APN functions and we prove that the class of quadratic trinomial APN functions constructed by Gologlu is affine equivalent to Gold functions.

Key concepts: Trinomial, Quadratic equation, Affine transformation, Quadratic function, Class (philosophy), Mathematics, Combinatorics, Discrete mathematics

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