Componentwise APNness, Walsh uniformity of APN functions, and cyclic-additive difference sets

DOI10.1016/J.FFA.2018.06.007zbMath1423.94059OpenAlexW2877445680MaRDI QIDQ1654505

Claude Carlet

Publication date: 8 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.06.007

zbMATH Keywords

Boolean functionAPN functionWalsh-Hadamard transformKasami functioncyclic difference setvectorial function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Boolean functions (94D10)

Related Items (4)

On the Sixth International Olympiad in Cryptography NSUCRYPTO ⋮ Status of three classes of sequences ⋮ On APN exponents, characterizations of differentially uniform functions by the Walsh transform, and related cyclic-difference-set-like structures ⋮ Inverse function is not component-wise uniform

Cites Work

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• New cyclic difference sets with Singer parameters
• The only crooked power functions are \(x^{2^k+2^l}\)
• Crooked binomials
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• Codes, graphs, and schemes from nonlinear functions
• Crooked maps in \(\mathbb F_{2^n}\)
• Plateaudness of Kasami APN functions
• Perfect nonlinear functions and cryptography
• Characterizations of Plateaued and Bent Functions in Characteristic $$p$$
• Boolean and Vectorial Plateaued Functions and APN Functions
• New classes of almost bent and almost perfect nonlinear polynomials
• On Almost Perfect Nonlinear Functions Over$mmb F_2^n$
• Perfect nonlinear S-boxes
• Explicit evaluation of certain exponential sums.

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