Applications of the Hasse-Weil bound to permutation polynomials
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Publication:1800696
DOI10.1016/j.ffa.2018.08.005zbMath1497.11286OpenAlexW2888032689MaRDI QIDQ1800696
Publication date: 24 October 2018
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.ffa.2018.08.005
Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55) Algebraic functions and function fields in algebraic geometry (14H05)
Related Items (11)
On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\) ⋮ A short note on polynomials f(X) = X + AX1+q2(q−1)/4 + BX1+3q2(q−1)/4 ∈ 𝔽q2[X, q even] ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ On a conjecture about a class of permutation quadrinomials ⋮ Classification of some quadrinomials over finite fields of odd characteristic ⋮ New results on permutation binomials of finite fields ⋮ On a conjecture of Fernando, Hou and Lappano concerning permutation polynomials over finite fields ⋮ On a type of permutation rational functions over finite fields ⋮ Curves over Finite Fields and Permutations of the Form x k ⋮ A link between two classes of permutation polynomials ⋮ A short note on permutation trinomials of prescribed type
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