The \(c\)-boomerang uniformity of two classes of permutation polynomials over finite fields

DOI10.1007/S40314-024-02956-4MaRDI QIDQ6623477

Xiwang Cao, Guanghui Li

Publication date: 24 October 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

permutation polynomial\(c\)-boomerang uniformity\(c\)-boomerang connectivity table

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials in general fields (irreducibility, etc.) (12E05) Cyclic codes (94B15)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Binary cyclic codes from explicit polynomials over \(\mathrm{GF}(2^m)\)
• Gold and Kasami-Welch functions, quadratic forms, and bent functions
• Differential cryptanalysis of DES-like cryptosystems
• A family of skew Hadamard difference sets
• Permutation polynomials and applications to coding theory
• Boomerang Connectivity Table: a new cryptanalysis tool
• Permutation polynomials \((x^{p^m} - x + \delta)^{s_1} +(x^{p^m} - x + \delta)^{s_2} + x\) over \(\mathbb{F}_{p^n}\)
• On the boomerang uniformity of quadratic permutations
• The binary Gold function and its \(c\)-boomerang connectivity table
• On the boomerang uniformity of a class of permutation quadrinomials over finite fields
• Investigations on \(c\)-boomerang uniformity and perfect nonlinearity
• Monomial and quadratic bent functions over the finite fields of odd characteristic
• On Permutation Quadrinomials and 4-Uniform BCT
• 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

This page was built for publication: The \(c\)-boomerang uniformity of two classes of permutation polynomials over finite fields

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6623477)