Permutation polynomials of the type \(x^rg(x^{s})\) over \({\mathbb {F}}_{q^{2n}}\)
From MaRDI portal
Publication:1650423
DOI10.1007/s10623-017-0415-8zbMath1402.11144OpenAlexW2754725950MaRDI QIDQ1650423
Luciane Quoos, Daniele Bartoli
Publication date: 3 July 2018
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-017-0415-8
Related Items (9)
Classification of permutation polynomials of the form \(x^3g(x^{q-1})\) of \(\mathbb{F}_{q^2}\) where \(g(x)=x^3+bx+c\) and \(b, c \in\mathbb{F}_q^*\) ⋮ Determination of a class of permutation quadrinomials ⋮ Complete characterization of some permutation polynomials of the form \(x^r (1+ax^{s_1(q-1)}+bx^{s_2(q-1)})\) over \(\mathbb{F}_{q^2}\) ⋮ Classification of some permutation quadrinomials from self reciprocal polynomials over \(\mathbb{F}_{2^n} \) ⋮ Two types of permutation polynomials with special forms ⋮ Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic ⋮ A family of permutation trinomials over \(\mathbb{F}_{q^2}\) ⋮ Determination of a class of permutation trinomials in characteristic three ⋮ Permutation trinomials over \(\mathbb{F}_{q^3} \)
Cites Work
- Determination of a type of permutation trinomials over finite fields. II
- Constructions of negabent functions over finite fields
- Complete permutation polynomials from exceptional polynomials
- Some new classes of permutation trinomials over finite fields with even characteristic
- On monomial complete permutation polynomials
- Specific permutation polynomials over finite fields
- Permutation polynomials over finite fields from a powerful lemma
- Permutation polynomials and applications to coding theory
- On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\)
- New permutation trinomials from Niho exponents over finite fields with even characteristic
- Permutation polynomials and group permutation polynomials
- Handbook of Finite Fields
- Determination of a type of permutation trinomials over finite fields
- Classes of Permutation Polynomials Based on Cyclotomy and an Additive Analogue
- Permutation Trinomials Over Finite Fields with Even Characteristic
- On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
- Dickson Polynomials Over Finite Fields and Complete Mappings
- New permutation trinomials constructed from fractional polynomials
This page was built for publication: Permutation polynomials of the type \(x^rg(x^{s})\) over \({\mathbb {F}}_{q^{2n}}\)
