Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)
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Publication:285474
DOI10.1016/j.ffa.2016.04.003zbMath1336.05005OpenAlexW2345663468MaRDI QIDQ285474
Publication date: 19 May 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.2016.04.003
Related Items (19)
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 \(\mathbb{F}_{q^2}\) ⋮ More classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+L(x)\) ⋮ 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 \(\mathbb{F}_{p^n}\) ⋮ Several classes of permutation polynomials over the finite field \(\mathbb{F}_{p^{2 m}}\) ⋮ 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 ⋮ New results on permutation polynomials of the form \((x^{{p}^{m}} - x + \delta)^s + x^{p^m} + x\) over \(\mathbb F_{p^{2m}}\) ⋮ More constructions of \(n\)-cycle permutations ⋮ On piece-wise permutation polynomials ⋮ 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 \(\mathbb{F}_{p^n}\) ⋮ On a type of permutation rational functions over finite fields ⋮ Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\) ⋮ Some new forms of permutation polynomials based on the AGW criterion
Cites Work
- Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)
- Permutation polynomials from trace functions over finite fields
- Permutation polynomials from piecewise functions
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- Permutation polynomials over finite fields from a powerful lemma
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- New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).
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- 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 \((x^p - x+\delta)^s+L(x)\)
- Further results on a class of permutation polynomials over finite fields
- Four classes of permutation polynomials of \(\mathbb F_{2^m}\)
- Permutation polynomials over finite fields -- a survey of recent advances
- Handbook of Finite Fields
- The weights of the orthogonals of the extended quadratic binary Goppa codes
- On the solution of algebraic equations over finite fields
- Two classes of permutation polynomials over finite fields
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