On the inverses of Kasami and Bracken-Leander exponents

DOI10.1007/s10623-020-00804-0zbMath1477.11197arXiv2003.12794OpenAlexW3091945005MaRDI QIDQ2211339

Lukas Kölsch

Publication date: 11 November 2020

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12794

zbMATH Keywords

APN functionsalgebraic degreemodular inversionBracken-Leander functionKasami exponent

Mathematics Subject Classification ID

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

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An infinite family of 0-APN monomials with two parameters ⋮ Two shorter proofs on the inverse and differential spectrum of Bracken-Leander exponent ⋮ Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the Gold, and the Bracken-Leander S-boxes

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