On the equivalence between a new family of APN quadrinomials and the power APN functions

DOI10.1007/s12095-022-00606-2zbMath1520.94123OpenAlexW4293194557WikidataQ113899653 ScholiaQ113899653MaRDI QIDQ6159447

Jie Peng, Lijing Zheng, Chenmiao Shi, Shihao Lu

Publication date: 20 June 2023

Published in: Cryptography and Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12095-022-00606-2

zbMATH Keywords

APN functionCCZ-equivalenceEA-equivalencegold function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Boolean functions (94D10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalences of power APN functions with power or quadratic APN functions
• A few more quadratic APN functions
• Differential cryptanalysis of DES-like cryptosystems
• New families of quadratic almost perfect nonlinear trinomials and multinomials
• On the classification of APN functions up to dimension five
• Constructing new APN functions from known ones
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• Equivalences of quadratic APN functions
• Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.
• A new family of semifields with 2 parameters
• Classification of quadratic APN functions with coefficients in \(\mathbb{F}_2\) for dimensions up to 9
• On equivalence between known families of quadratic APN functions
• On some quadratic APN functions
• CCZ equivalence of power functions
• The number of almost perfect nonlinear functions grows exponentially
• On equivalence between known polynomial APN functions and power APN functions
• The weights of the orthogonals of the extended quadratic binary Goppa codes
• New classes of almost bent and almost perfect nonlinear polynomials
• Classes of Quadratic APN Trinomials and Hexanomials and Related Structures
• Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
• Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
• On Almost Perfect Nonlinear Permutations
• Weight Divisibility of Cyclic Codes, Highly Nonlinear Functions on F2m, and Crosscorrelation of Maximum-Length Sequences
• Constructing APN Functions Through Isotopic Shifts
• Boolean Functions for Cryptography and Coding Theory
• The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes
• Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)

This page was built for publication: On the equivalence between a new family of APN quadrinomials and the power APN functions