Yi Li

collaborators

3 papers

math.NT2026

Resolving a conjecture on permutation polynomials over $F_{2^{n}}$

Yi Li

Let $δ \in F_{2^{n}}$ satisfy $Tr_{F_{2^{n}} / F_{2}} (δ) = 1$ . We study the permutation behavior of $$ f(x) = \left(\frac{1}{x^2+x+δ}\right)^{2^k}+x $…

math.NT2026

Explicit determination of a class of permutation rational functions in any characteristic

Yi Li, Deng Tang

In this paper, we make use of the classification results of low-degree permutation rational functions together with their geometric properties to investigate rational functions tha…

math.NT2023

A classification of permutation binomials of the form $x^{i} + a x$ over $F_{2^{n}}$ for dimensions up to 8

Yi Li, Xiutao Feng, Qiang Wang

Permutation polynomials with few terms (especially permutation binomials) attract many people due to their simple algebraic structure. Despite the great interests in the study of p…

Resolving a conjecture on permutation polynomials over F2n​

Explicit determination of a class of permutation rational functions in any characteristic

A classification of permutation binomials of the form xi+ax over F2n​ for dimensions up to 8

Resolving a conjecture on permutation polynomials over $F_{2^{n}}$

A classification of permutation binomials of the form $x^{i} + a x$ over $F_{2^{n}}$ for dimensions up to 8