Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\)
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Publication:730376
DOI10.1016/j.ffa.2016.11.007zbMath1352.05009OpenAlexW2552608129MaRDI QIDQ730376
Libo Wang, Baofeng Wu, Zhuo-Jun Liu
Publication date: 27 December 2016
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2016.11.007
Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
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Some classes of permutation polynomials of the form \(b(x^q +ax+\delta)^{\frac{i(q^2 -1)}{d}+1}+c(x^q +ax+\delta)^{\frac{j(q^2 -1)}{d}+1}+L(x)\) over \(\mathbb{F}_{q^2}\) ⋮ Some classes of permutation polynomials over finite fields with odd characteristic ⋮ General constructions of permutation polynomials of the form \((x^{2^m} + x + \delta)^{i(2^m - 1) + 1} + x\) over \(\mathbb{F}_{2^{2 m}}\) ⋮ Further results on permutation polynomials and complete permutation polynomials over finite fields ⋮ Permutation polynomials over \(\mathbb{F}_{2^n}\) of the form \((x^{2^i} + x + \delta)^{s_1} +(x^{2^i} + x + \delta)^{s_2} + x\) ⋮ Several classes of permutation polynomials of the form \((x^{p^m} - x + \delta)^s + x\) over \(\mathbb{F}_{p^{2m}}\) ⋮ Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) ⋮ 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 ⋮ Permutation polynomials \((x^{p^m} - x + \delta)^{s_1} +(x^{p^m} - x + \delta)^{s_2} + x\) over \(\mathbb{F}_{p^n}\) ⋮ Permutations polynomials of the form \(G(X)^k - L(X)\) and curves over finite fields
Cites Work
- Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)
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- New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).
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- Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
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- On the solution of algebraic equations over finite fields
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