On the equivalence of quadratic APN functions

DOI10.1007/S10623-010-9475-8zbMath1250.11101arXiv1101.1508OpenAlexW2009514860MaRDI QIDQ648066

Gary McGuire, Carl Bracken, Eimear Byrne, Gabriele Nebe

Publication date: 22 November 2011

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1508

zbMATH Keywords

automorphism groupAPNCCZ-equivalenceEA-equivalenceGold functionalmost perfect nonlinear

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55) Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20)

Related Items (9)

On equivalence between two known families of APN polynomial functions and APN power functions ⋮ Equivalences of power APN functions with power or quadratic APN functions ⋮ On equivalence between known polynomial APN functions and power APN functions ⋮ CCZ equivalence of power functions ⋮ Equivalences of quadratic APN functions ⋮ More constructions of APN and differentially 4-uniform functions by concatenation ⋮ On CCZ-equivalence, extended-affine equivalence, and function twisting ⋮ Dimensional dual hyperovals and APN functions with translation groups ⋮ Self-embeddings of Hamming Steiner triple systems of small order and APN permutations

Cites Work

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• New families of quadratic almost perfect nonlinear trinomials and multinomials
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• On the automorphism groups of affine-invariant codes
• Two Classes of Quadratic APN Binomials Inequivalent to Power Functions

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