Some new results on the conjecture on exceptional APN functions and absolutely irreducible polynomials: the Gold case

DOI10.3934/amc.2017033zbMath1365.14035OpenAlexW2612989638MaRDI QIDQ2397504

Heeralal Janwa, Moises Delgado

Publication date: 22 May 2017

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2017033

zbMATH Keywords

cyclic codesabsolutely irreducible polynomialCCZ-equivalenceEA-equivalenceDeligne estimatealmost perfect nonlinear (APN)Lang-Weil estimateGold function, Kasami-Welch function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items

Polynomials with maximal differential uniformity and the exceptional APN conjecture ⋮ Some new techniques and progress towards the resolution of the conjecture of exceptional APN functions and absolutely irreducibility of a class of polynomials ⋮ On the conjecture on APN functions and absolute irreducibility of polynomials ⋮ The State of the Art on the Conjecture of Exceptional APN Functions

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