On a conjecture on permutation rational functions over finite fields
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Publication:2238914
DOI10.1016/j.ffa.2021.101904zbMath1483.11252arXiv2008.03432OpenAlexW3192813590WikidataQ113874196 ScholiaQ113874196MaRDI QIDQ2238914
Daniele Bartoli, Xiang-Dong Hou
Publication date: 2 November 2021
Published in: Finite Fields and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.03432
Arithmetic theory of algebraic function fields (11R58) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55) Algebraic functions and function fields in algebraic geometry (14H05)
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Cites Work
- On a conjecture about a class of permutation trinomials
- A class of new permutation trinomials
- Permutation polynomials, fractional polynomials, and algebraic curves
- On a type of permutation rational functions over finite fields
- On a class of permutation trinomials in characteristic 2
- On the Tu-Zeng permutation trinomial of type \(( 1/4, 3/4)\)
- Determination of a class of permutation trinomials in characteristic three
- Permutation trinomials over \(\mathbb{F}_{q^3} \)
- More permutation polynomials with Niho exponents which permute \(\mathbb{F}_{q^2} \)
- Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
- Improved explicit estimates on the number of solutions of equations over a finite field
- 15. Polynomials over finite fields: an index approach
- On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
- New permutation trinomials constructed from fractional polynomials
- Number of Points of Varieties in Finite Fields
- Two classes of permutation trinomials with Niho exponents