The limited deficit method and the problem of constructing orthomorphisms and almost orthomorphisms of abelian groups

DOI10.1515/dma-2021-0030OpenAlexW3207536766MaRDI QIDQ2064375

Publication date: 5 January 2022

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2021-0030

zbMATH Keywords

permutation orthomorphism orthogonal Latin squares \(s\)-box almost orthomorphism permutation deficit spectral-differential method spectral-linear method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

Cites Work

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Orthomorphisms of abelian groups with minimum possible pairwise distances
On the subgroup distance problem.
Generating all linear orthomorphisms without repetition
Several classes of complete permutation polynomials
Key Recovery Attacks on 3-round Even-Mansour, 8-step LED-128, and Full AES2
Orthomorphisms of Groups and Orthogonal Latin Squares. I
Спектрально-линейный и спектрально-дифференциальный методы построения S-бокcов с близкими к оптимальным значениями криптографических параметров
Bol loops of order pq
Limitations of the Even-Mansour construction
О методах построения систем ортогональных квазигрупп с использованием групп
Characterization of polynomially complete quasigroups based on Latin squares for cryptographic transformations
PIECEWISE-AFFINE PERMUTATIONS OF FINITE FIELDS
THE NONLINEARITY INDEX FOR A PIECEWISE-LINEAR SUBSTITUTION OF THE ADDITIVE GROUP OF THE FIELD F2n
Разностные спецификации подстановок и разбиения в кольце вычетов
Complete Mapping Polynomials over Finite Field F 16
On the Classification of 4 Bit S-Boxes
A note on finite abelian groups
A Combinatorial Problem on Abelian Groups
On orthogonal Latin squares
Orthomorphism graphs of groups

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