General constructions of permutation polynomials of the form \((x^{2^m} + x + \delta)^{i(2^m - 1) + 1} + x\) over \(\mathbb{F}_{2^{2 m}}\)
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Publication:1637190
DOI10.1016/j.ffa.2018.04.003zbMath1388.05009arXiv1712.08066OpenAlexW2802597838MaRDI QIDQ1637190
Publication date: 7 June 2018
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08066
Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items (10)
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 \(\mathbb{F}_{q^2}\) ⋮ Binary sequences derived from monomial permutation polynomials over \(\mathrm{GF}(2^p)\) ⋮ Complete permutation polynomials with the form \((x^{p^m} - x + \delta)^s + a x^{p^m} + b x\) over \(\mathbb{F}_{p^n}\) ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ Some results on complete permutation polynomials and mutually orthogonal Latin squares ⋮ Two types of permutation polynomials with special forms ⋮ Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic ⋮ Two classes of permutation trinomials with Niho exponents ⋮ More classes of permutation quadrinomials from Niho exponents in characteristic two ⋮ Further results on permutation trinomials with Niho exponents
Cites Work
- Some classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)
- Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)
- Permutation polynomials from trace functions over finite fields
- Further results on permutation polynomials of the form \((x^{p^m} - x + \delta)^s + L(x)\) over \(\mathbb{F}_{p^{2 m}}\)
- Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)
- Further results on permutation polynomials of the form \((x^{p^m}-x+\delta)^s+x\) over \(\mathbb{F}_{p^{2m}}\)
- New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).
- Further results on permutation polynomials over finite fields
- 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
- Two classes of permutation polynomials over finite fields
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