Two classes of permutation trinomials over \(\mathbb{F}_{q^3}\) in characteristic two
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Publication:6144452
DOI10.1016/j.ffa.2023.102354OpenAlexW4389986450MaRDI QIDQ6144452
Tong-Liang Zhang, Jie Peng, Yanjun Li, Lijing Zheng, Haibin Kan
Publication date: 29 January 2024
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2023.102354
Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
Cites Work
- Unnamed Item
- Some new results on permutation polynomials over finite fields
- New methods for generating permutation polynomials over finite fields
- Permutation polynomials EA-equivalent to the inverse function over \(\mathrm{GF}(2^n)\)
- Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\)
- Note on cubics over \(GF(2^n)\) and \(GF(3^n)\)
- Six new classes of permutation trinomials over \(\mathbb{F}_{3^{3k}}\)
- Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
- New classes of permutation trinomials over \(\mathbb{F}_{q^3}\)
- On relations between CCZ- and EA-equivalences
- Permutation polynomials of the form \(x^d+L(x^{s})\) over \(\mathbb{F}_{q^3}\)
- Permutation trinomials over \(\mathbb{F}_{q^3} \)
- Permutation trinomials over \(\mathbb{F}_{2^m}\)
- Further results on permutation trinomials over finite fields with even characteristic
- On EA-equivalence of certain permutations to power mappings
- Several classes of complete permutation polynomials
- On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\)
- Permutation polynomials over finite fields -- a survey of recent advances
- A survey on the applications of Niho exponents
- Handbook of Finite Fields
- On permutation polynomials of the formx1+2k+ L(x)
- 15. Polynomials over finite fields: an index approach
- Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$
- On CCZ-Equivalence of the Inverse Function
- Roots of certain polynomials over finite fields