Quadratic permutations, complete mappings and mutually orthogonal latin squares

DOI10.1515/MS-2017-0037zbMath1442.11165OpenAlexW2759238579MaRDI QIDQ5363356

Danilo Gligoroski, Simona Samardjiska

Publication date: 5 October 2017

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0037

zbMATH Keywords

permutation polynomialscomplete mappingsDembowski-Ostrom polynomialsmutually orthogonal Latin squares (MOLS)quasigroup polynomials

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Orthogonal arrays, Latin squares, Room squares (05B15) Polynomials over finite fields (11T06) Combinatorial codes (94B25)

Related Items (5)

Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) ⋮ Maximal complete permutations over \(\mathbb{F}_2^n \) ⋮ Some results on complete permutation polynomials and mutually orthogonal Latin squares ⋮ Compositional inverses and complete mappings over finite fields ⋮ Regular complete permutation polynomials over \(\mathbb{F}_{2^n} \)

Cites Work

• Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case

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