Some more functions that are not APN infinitely often. The case of Gold and Kasami exponents

DOI10.1090/conm/574/11423zbMath1362.11102OpenAlexW3002753196MaRDI QIDQ5500536

François Rodier, Roger Oyono, Éric Férard

Publication date: 6 August 2015

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/574/11423

zbMATH Keywords

rational pointsalmost perfect nonlinear functionGold degree

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Polynomials over finite fields (11T06)

Related Items (10)

Some new results on the conjecture on exceptional APN functions and absolutely irreducible polynomials: the Gold case ⋮ On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb {P}^{3}\) in characteristic 2. II ⋮ A infinite class of Kasami functions that are not APN infinitely often ⋮ A new large class of functions not APN infinitely often ⋮ Some new techniques and progress towards the resolution of the conjecture of exceptional APN functions and absolutely irreducibility of a class of polynomials ⋮ Partially APN Boolean functions and classes of functions that are not APN infinitely often ⋮ Almost perfect and planar functions ⋮ On the conjecture on APN functions and absolute irreducibility of polynomials ⋮ On the irreducibility of the hyperplane sections of Fermat varieties in \(\mathbb{P}^3\) in characteristic \(2\) ⋮ The State of the Art on the Conjecture of Exceptional APN Functions

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