Classification of quadratic APN functions with coefficients in \(\mathbb{F}_2\) for dimensions up to 9

DOI10.1016/j.ffa.2020.101733zbMath1473.94180OpenAlexW3082441468MaRDI QIDQ1994948

Yongqiang Li, Yuyin Yu, Nikolay Kaleyski, Lilya Budaghyan

Publication date: 18 February 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2020.101733

zbMATH Keywords

Boolean functionsquadratic functionsalmost perfect nonlinearalmost bent

Mathematics Subject Classification ID

Cryptography (94A60) Boolean functions (94D10)

Related Items (3)

Trims and extensions of quadratic APN functions ⋮ The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions ⋮ On the equivalence between a new family of APN quadrinomials and the power APN functions

Cites Work

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• Antiderivative functions over \(\mathbb{F}_{2^n}\)
• A few more quadratic APN functions
• Differential cryptanalysis of DES-like cryptosystems
• 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
• On CCZ-equivalence, extended-affine equivalence, and function twisting
• A new family of semifields with 2 parameters
• On the EA-classes of known APN functions in small dimensions
• On equivalence between known families of quadratic APN functions
• A new almost perfect nonlinear function which is not quadratic
• Discrete antiderivatives for functions over \(\mathbb{F}_p^n\)
• On some quadratic APN functions
• 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
• Constructing APN Functions Through Isotopic Shifts
• Construction and Analysis of Cryptographic Functions
• The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions
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