Boomerang uniformity of some classes of functions over finite fields

DOI10.1016/j.dam.2023.10.019zbMath1529.94023MaRDI QIDQ6140240

Kirpa Garg, Pantelimon Stănică, Sartaj Ul Hasan

Publication date: 2 January 2024

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite fieldsdifferential uniformityboomerang uniformity

Mathematics Subject Classification ID

Cryptography (94A60) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20)

Cites Work

• Sparse permutations with low differential uniformity
• Boomerang uniformity of normalized permutation polynomials of low degree
• Differential cryptanalysis of DES-like cryptosystems
• Constructing new APN functions from known ones
• Boomerang Connectivity Table: a new cryptanalysis tool
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• The binary Gold function and its \(c\)-boomerang connectivity table
• Investigations on \(c\)-boomerang uniformity and perfect nonlinearity
• Boomerang uniformity of a class of power maps
• On a Class of Permutation Polynomials over $\mathbb{F}_{2^n}$
• A note on the roots of trinomials over a finite field
• The c-Differential Uniformity and Boomerang Uniformity of Two Classes of Permutation Polynomials
• A Class of Quadrinomial Permutations With Boomerang Uniformity Four
• C-Differentials, Multiplicative Uniformity, and (Almost) Perfect c-Nonlinearity
• New Results About the Boomerang Uniformity of Permutation Polynomials
• Using double Weil sums in finding the \(c\)-boomerang connectivity table for monomial functions on finite fields
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