Compositional inverses and complete mappings over finite fields

DOI10.1016/J.DAM.2016.09.009zbMath1372.11111OpenAlexW2527744876MaRDI QIDQ516831

Aleksandr Tuxanidy, Qiang Wang

Publication date: 15 March 2017

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2016.09.009

zbMATH Keywords

finite fieldstracepermutation polynomialscompositional inversebinomialcomplete mappingslinearized polynomials

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Polynomials over finite fields (11T06)

Related Items (12)

Linear permutations and their compositional inverses over 𝔽qn ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ New constructions of involutions over finite fields ⋮ Further results on complete permutation monomials over finite fields ⋮ Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) ⋮ Compositional inverses of AGW-PPs -- dedicated to Professor Cunsheng Ding for his 60th birthday ⋮ Permutation polynomials and their compositional inverses over finite fields by a local method ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ Some results on complete permutation polynomials and mutually orthogonal Latin squares ⋮ Compositional inverses of permutation polynomials of the form \(x^rh(x^s)\) over finite fields ⋮ On a class of permutation polynomials and their inverses ⋮ Constructing permutation polynomials from permutation polynomials of subfields

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