Boomerang uniformity of power permutations and algebraic curves over \(\mathbb{F}_{2^n}\)

DOI10.1515/advgeom-2022-0026OpenAlexW4316362572MaRDI QIDQ2684908

Sihem Mesnager, Ferruh Özbudak

Publication date: 17 February 2023

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2022-0026

zbMATH Keywords

algebraic curvedifferential uniformityalgebraic function fieldboomerang uniformity

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Curves over finite and local fields (11G20)

Uses Software

• Magma

Cites Work

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• Relations Between the Genera and Between the Hasse-Witt Invariants of Galois Coverings of Curves
• Algebraic Function Fields and Codes
• A Note on Relations Between the Zeta-Functions of Galois Coverings of Curves Over Finite Fields
• New Results About the Boomerang Uniformity of Permutation Polynomials
• Differential Properties of ${x\mapsto x^{2^{t}-1}}$

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