Six new classes of permutation trinomials over \(\mathbb{F}_{3^{3k}}\)
From MaRDI portal
Publication:1633166
DOI10.1007/S00200-018-0353-3zbMath1401.05020OpenAlexW2794328861MaRDI QIDQ1633166
Publication date: 19 December 2018
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00200-018-0353-3
Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items (6)
Two new classes of permutation trinomials over \(\mathbb{F}_{q^3}\) with odd characteristic ⋮ Two classes of permutation trinomials over \(\mathbb{F}_{q^3}\) in characteristic two ⋮ Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) ⋮ Two types of permutation polynomials with special forms ⋮ Permutation polynomials of the form \(x^d+L(x^{s})\) over \(\mathbb{F}_{q^3}\) ⋮ New classes of permutation trinomials over \(\mathbb{F}_{q^3}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New classes of permutation binomials and permutation trinomials over finite fields
- Sparse permutations with low differential uniformity
- Determination of a type of permutation trinomials over finite fields. II
- Some permutation polynomials over finite fields
- On some permutation binomials and trinomials over \(\mathbb{F}_{2^n}\)
- Some new results on permutation polynomials over finite fields
- Some new classes of permutation trinomials over finite fields with even characteristic
- Permutation polynomials and applications to coding theory
- Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)
- Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
- Permutation trinomials over \(\mathbb{F}_{2^m}\)
- More classes of permutation polynomials of the form \((x^{p^m}-x+\delta)^s+L(x)\)
- Further results on permutation trinomials over finite fields with even characteristic
- Several classes of permutation trinomials from Niho exponents
- On two conjectures about permutation trinomials over \(\mathbb{F}_{3^{2k}}\)
- Several classes of complete permutation polynomials
- A class of permutation polynomials of \(\mathbb F_{2^m}\) related to Dickson polynomials
- Handbook of Finite Fields
- A survey of permutation binomials and trinomials over finite fields
- Permutation Trinomials Over Finite Fields with Even Characteristic
- New permutation trinomials constructed from fractional polynomials
- Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
- Cyclotomic Mapping Permutation Polynomials over Finite Fields
- Two classes of permutation polynomials over finite fields
This page was built for publication: Six new classes of permutation trinomials over \(\mathbb{F}_{3^{3k}}\)