Some Theorems on Planar Mappings

DOI10.1007/978-3-540-69499-1_10zbMath1180.94056OpenAlexW1480591395MaRDI QIDQ3519556

Gohar M. Kyureghyan, Alexander Pott

Publication date: 19 August 2008

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-69499-1_10

zbMATH Keywords

image setCCZ-equivalenceplanar mappingperfect nonlinear mapping

Mathematics Subject Classification ID

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

Related Items (31)

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Cites Work

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• Planar functions and planes of Lenz-Barlotti class II
• A family of skew Hadamard difference sets
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• A new criterion for permutation polynomials
• Some power mappings with low differential uniformity
• Pseudo-Paley graphs and skew Hadamard difference sets from presemifields
• Planar polynomials for commutative semifields with specified nuclei
• Commutative presemifields and semifields
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• New classes of almost bent and almost perfect nonlinear polynomials
• A Family of Optimal Constant-Composition Codes

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