Further results on permutation polynomials of the form (xpm − x + δ)s + L(x) over 𝔽p2m

DOI10.1142/S0219498816500985zbMath1334.05004OpenAlexW2174531104MaRDI QIDQ2801843

Guangkui Xu, Shanding Xu, Xiwang Cao

Publication date: 22 April 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816500985

zbMATH Keywords

finite fieldlinearized polynomialpermutation polynomialtrace function

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (5)

Some classes of permutation polynomials over finite fields with odd characteristic ⋮ Further results on permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\) ⋮ Some results on complete permutation polynomials and mutually orthogonal Latin squares ⋮ Two types of permutation polynomials with special forms ⋮ Permutations polynomials of the form \(G(X)^k - L(X)\) and curves over finite fields

Cites Work

• Necessary conditions for reversed Dickson polynomials to be permutational
• Permutation polynomials over finite fields from a powerful lemma
• Permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over the finite field \(\mathbb{F}_{p^{2 m}}\) of odd characteristic
• Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
• On the solution of algebraic equations over finite fields

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