Permutation polynomials, fractional polynomials, and algebraic curves
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Publication:1747904
DOI10.1016/j.ffa.2018.01.001zbMath1416.11164arXiv1708.04841OpenAlexW2963401056MaRDI QIDQ1747904
Massimo Giulietti, Daniele Bartoli
Publication date: 27 April 2018
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.04841
Related Items (18)
A survey on the applications of Niho exponents ⋮ On a conjecture about a class of permutation trinomials ⋮ 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 \(b, c \in\mathbb{F}_q^*\) ⋮ A new class of permutation trinomials constructed from Niho exponents ⋮ On trinomials of type \(X^{n+m}(1+AX^{m(q -1)}+BX^{n(q -1)})\), \(n,m\) odd, over \(\mathbb{F}_{q^2}\), \(q=2^{2s+1}\) ⋮ Several classes of permutation pentanomials with the form \(x^r h(x^{p^m -1})\) over \(\mathbb{F}_{p^{2m}}\) ⋮ A short note on polynomials f(X) = X + AX1+q2(q−1)/4 + BX1+3q2(q−1)/4 ∈ 𝔽q2[X, q even] ⋮ Complete characterization of some permutation polynomials of the form \(x^r (1+ax^{s_1(q-1)}+bx^{s_2(q-1)})\) over \(\mathbb{F}_{q^2}\) ⋮ On a conjecture about a class of permutation quadrinomials ⋮ Classification of some quadrinomials over finite fields of odd characteristic ⋮ On a conjecture on permutation rational functions over finite fields ⋮ A family of permutation trinomials over \(\mathbb{F}_{q^2}\) ⋮ A class of permutation quadrinomials ⋮ Determination of a class of permutation trinomials in characteristic three ⋮ Permutation trinomials over \(\mathbb{F}_{q^3} \) ⋮ A short note on permutation trinomials of prescribed type ⋮ Further results on permutation trinomials with Niho exponents ⋮ More results about a class of quadrinomials over finite fields of odd characteristic
Uses Software
Cites Work
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