On the Walsh Spectrum of a New APN Function

DOI10.1007/978-3-540-77272-9_6zbMath1154.94379OpenAlexW1545032747MaRDI QIDQ5447510

Gary McGuire, Carl Bracken, Nadya Markin, Eimear Byrne

Publication date: 7 March 2008

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

Full work available at URL: https://doi.org/10.1007/978-3-540-77272-9_6

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60)

Related Items (5)

On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations ⋮ Almost perfect and planar functions ⋮ New links between nonlinearity and differential uniformity ⋮ Some Results on the Known Classes of Quadratic APN Functions ⋮ Quadratic zero-difference balanced functions, APN functions and strongly regular graphs

Cites Work

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• Constructing new APN functions from known ones
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• Another proof of Kasami's theorem
• New classes of almost bent and almost perfect nonlinear polynomials
• A new APN function which is not equivalent to a power mapping
• Two Classes of Quadratic APN Binomials Inequivalent to Power Functions
• Weight Divisibility of Cyclic Codes, Highly Nonlinear Functions on F2m, and Crosscorrelation of Maximum-Length Sequences
• The weight enumerators for several classes of subcodes of the 2nd order binary Reed-Muller codes

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