New constructions of permutation polynomials of the form \(x^rh\left( x^{q-1}\right) \) over \({\mathbb F}_{q^2}\)
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Publication:1671644
DOI10.1007/s10623-017-0452-3zbMath1464.11128arXiv1708.01165OpenAlexW3123692811MaRDI QIDQ1671644
Longjiang Qu, Qiang Wang, Kangquan Li
Publication date: 6 September 2018
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.01165
Related Items (16)
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 \(b, c \in\mathbb{F}_q^*\) ⋮ Several classes of complete permutation polynomials with Niho exponents ⋮ New constructions of involutions over finite fields ⋮ The additive index of polynomials over finite fields ⋮ Several classes of permutation pentanomials with the form \(x^r h(x^{p^m -1})\) over \(\mathbb{F}_{p^{2m}}\) ⋮ Further results on complete permutation monomials over finite fields ⋮ Complete characterization of some permutation polynomials of the form \(x^r (1+ax^{s_1(q-1)}+bx^{s_2(q-1)})\) over \(\mathbb{F}_{q^2}\) ⋮ Further results on a class of permutation trinomials ⋮ More classes of permutation hexanomials and pentanomials over finite fields with even characteristic ⋮ Classification of some quadrinomials over finite fields of odd characteristic ⋮ Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) ⋮ Two types of permutation polynomials with special forms ⋮ Two-to-one mappings and involutions without fixed points over \(\mathbb{F}_{2^n}\) ⋮ Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic ⋮ A link between two classes of permutation polynomials ⋮ Further results on permutation trinomials with Niho exponents
Cites Work
- Unnamed Item
- Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\)
- New classes of permutation binomials and permutation trinomials over finite fields
- Determination of a type of permutation trinomials over finite fields. II
- Some new classes of permutation trinomials over finite fields with even characteristic
- On constructing permutations of finite fields
- Permutation polynomials over finite fields from a powerful lemma
- A family of skew Hadamard difference sets
- Permutation polynomials and applications to coding theory
- New permutation trinomials from Niho exponents over finite fields with even characteristic
- Further results on permutation polynomials over finite fields
- Further results on permutation trinomials over finite fields with even characteristic
- Several classes of permutation trinomials from Niho exponents
- Permutation polynomials over finite fields -- a survey of recent advances
- Permutation polynomials and group permutation polynomials
- Permutation Trinomials Over Finite Fields with Even Characteristic
- Interleavers for turbo codes using permutation polynomials over integer rings
- 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 )
- Cyclic Codes from Some Monomials and Trinomials
- Cyclotomic Mapping Permutation Polynomials over Finite Fields
- On the solution of algebraic equations over finite fields
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