CCZ and EA equivalence between mappings over finite Abelian groups

DOI10.1007/s10623-012-9661-yzbMath1257.05176OpenAlexW2043694411MaRDI QIDQ1934229

Yue Zhou, Alexander Pott

Publication date: 28 January 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9661-y

zbMATH Keywords

Abelian groupsCarlet-Charpin-Zinoviev equivalenceextended affine equivalence

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Finite abelian groups (20K01) Group actions on combinatorial structures (05E18)

Related Items (4)

Affine equivalence and non-linearity of permutations over \(\mathbb Z_n\) ⋮ P℘N functions, complete mappings and quasigroup difference sets ⋮ Almost perfect and planar functions ⋮ Cryptographic properties of small bijective S-boxes with respect to modular addition

Cites Work

• Unnamed Item
• New commutative semifields defined by new PN multinomials
• Codes, bent functions and permutations suitable for DES-like cryptosystems
• Nonlinear functions in abelian groups and relative difference sets.
• Equivalence classes of functions between finite groups
• Highly nonlinear mappings
• A result about the density of iterated line intersections in the plane
• Relative difference sets, graphs and inequivalence of functions between groups
• ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS
• Some Theorems on Planar Mappings
• New classes of almost bent and almost perfect nonlinear polynomials
• New Perfect Nonlinear Multinomials over F $_{p^{2k}}$ for Any Odd Prime p

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