Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
From MaRDI portal
Publication:1699267
DOI10.1007/s12095-017-0236-7zbMath1382.11091OpenAlexW2728070583MaRDI QIDQ1699267
Chao Li, Xi Chen, Kangquan Li, Longjiang Qu
Publication date: 19 February 2018
Published in: Cryptography and Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12095-017-0236-7
Related Items (24)
On two conjectures about the intersection distribution ⋮ A survey on the applications of Niho exponents ⋮ Six New Classes of Permutation Trinomials over $\mathbb{F}_{2^{n}}$ ⋮ New constructions of involutions over finite fields ⋮ Determination of a class of permutation quadrinomials ⋮ A recursive construction of permutation polynomials over \(\mathbb F_{q^2}\) with odd characteristic related to Rédei functions ⋮ Two new classes of permutation trinomials over \(\mathbb{F}_{q^3}\) with odd characteristic ⋮ Further investigations on permutation based constructions of bent functions ⋮ More classes of permutation hexanomials and pentanomials over finite fields with even characteristic ⋮ Two classes of permutation trinomials over \(\mathbb{F}_{q^3}\) in characteristic two ⋮ Constructing permutation polynomials over \(\mathbb{F}_{q^3}\) from bijections \(\mathrm{PG}(2,q)\) ⋮ A general construction of permutation polynomials of \(\mathbb{F}_{q^2}\) ⋮ On a conjecture about a class of permutation quadrinomials ⋮ Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) ⋮ Permutations on finite fields with invariant cycle structure on lines ⋮ More constructions of \(n\)-cycle permutations ⋮ Compositional inverses of permutation polynomials of the form \(x^rh(x^s)\) over finite fields ⋮ Two types of permutation polynomials with special forms ⋮ 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 ⋮ Permutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\) ⋮ Two classes of permutation trinomials with Niho exponents ⋮ More classes of permutation quadrinomials from Niho exponents in characteristic two ⋮ 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
- Permutation polynomials from trace functions over finite fields
- Determination of a type of permutation trinomials over finite fields. II
- 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
- When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?
- Permutation polynomials over finite fields from a powerful lemma
- A family of skew Hadamard difference sets
- Permutation polynomials and applications to coding theory
- On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\)
- Note on cubics over \(GF(2^n)\) and \(GF(3^n)\)
- Permutation polynomials over finite fields -- a survey of recent advances
- Permutation polynomials and group permutation polynomials
- Permutation polynomials of the form X + γ Tr(Xk)
- A class of permutation trinomials over finite fields
- Determination of a type of permutation trinomials over finite fields
- A survey of permutation binomials and trinomials over finite fields
- Permutation Trinomials Over Finite Fields with Even Characteristic
- Interleavers for turbo codes using permutation polynomials over integer rings
- On a Class of Permutation Polynomials over $\mathbb{F}_{2^n}$
- On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
- A method for obtaining digital signatures and public-key cryptosystems
- New permutation trinomials constructed from fractional polynomials
- Almost perfect nonlinear power functions on GF(2/sup n/): the Welch case
- Symplectic spreads and permutation polynomials
- Quartics over GF(2 n )
- Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method
- Cyclotomic Mapping Permutation Polynomials over Finite Fields
- On the solution of algebraic equations over finite fields
This page was built for publication: Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
