Research Paper#Mathematics, Finite Fields, Permutation Polynomials🔬 ResearchAnalyzed: Jan 3, 2026 16:36
Permutation Polynomials in Finite Fields
Published:Dec 26, 2025 07:43
•1 min read
•ArXiv
Analysis
This paper contributes to the field of permutation polynomials, which are important in various applications. It focuses on a specific form of permutation polynomials and provides a complete characterization for a particular class. The approach of transforming the problem into multivariate permutations is a key innovation.
Key Takeaways
- •Focuses on permutation polynomials with a specific form.
- •Provides a complete characterization for a class of these polynomials.
- •Uses a novel approach of transforming the problem to multivariate permutations.
- •Generalizes results from previous work.
Reference
“The paper completely characterizes a class of permutation polynomials of the form $L(X)+γTr_q^{q^3}(c_1X+c_2X^2+c_3X^3+c_4X^{q+2})$ over $\mathbb{F}_{q^3}$.”