Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$
From MaRDI portal
Publication:4578012
DOI10.1137/17M1156666zbMath1393.05022OpenAlexW2621188831MaRDI QIDQ4578012
No author found.
Publication date: 7 August 2018
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/17m1156666
Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items
On two conjectures about the intersection distribution ⋮ Determination of a class of permutation quadrinomials ⋮ Two new classes of permutation trinomials over \(\mathbb{F}_{q^3}\) with odd characteristic ⋮ Further results on a class of permutation trinomials ⋮ Two classes of permutation trinomials over \(\mathbb{F}_{q^3}\) in characteristic two ⋮ Constructing permutation polynomials over \(\mathbb{F}_{q^3}\) from bijections \(\mathrm{PG}(2,q)\) ⋮ Permutation polynomials of the form \(x^d+L(x^{s})\) over \(\mathbb{F}_{q^3}\) ⋮ Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic ⋮ Two classes of permutation trinomials with Niho exponents ⋮ New classes of permutation trinomials over \(\mathbb{F}_{q^3}\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- New classes of permutation binomials and permutation trinomials over finite fields
- Sparse permutations with low differential uniformity
- Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)
- Permutation polynomials from trace functions over finite fields
- Determination of a type of permutation trinomials over finite fields. II
- 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
- On constructing permutations of finite fields
- Permutation polynomials and applications to coding theory
- On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\)
- Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\)
- Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
- On permutation trinomials of type \(x^{2 p^s + r} + x^{p^s + r} + \lambda x^r\)
- A class of new permutation trinomials
- Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
- Almost perfect nonlinear power functions on \(\mathrm{GF}(2^n)\): the Niho case.
- 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
- Several classes of complete permutation polynomials
- Cyclotomy and permutation polynomials of large indices
- A class of permutation polynomials of \(\mathbb F_{2^m}\) related to Dickson polynomials
- Permutation polynomials and group permutation polynomials
- Handbook of Finite Fields
- A class of permutation trinomials over finite fields
- A survey of permutation binomials and trinomials over finite fields
- Permutation Trinomials Over Finite Fields with Even Characteristic
- On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
- Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
- Cyclic Codes from Some Monomials and Trinomials
- Cyclotomic Mapping Permutation Polynomials over Finite Fields
- Two classes of permutation polynomials over finite fields