Tong Lin

collaborators

2 papers

math.CO2025

Permutation polynomials, projective polynomials, and bijections between $μ_{\frac{q ^{n} - 1}{q - 1}}$ and $P G (n - 1, q)$

Tong Lin, Qiang Wang

Using arbitrary bases for the finite field $F_{q^{n}}$ over $F_{q}$ , we obtain the generalized Möbius transformations (GMTs), which are a class of bijections betwee…

math.NT2023

On stable polynomials of degrees $2, 3, 4$

Tong Lin, Qiang Wang

Let $q$ be a prime power. We construct stable polynomials of the form $b^{m - 1} (x + a)^{m} + c (x + a) + d$ over a finite field $F_{q}$ for $m = 2, 3, 4$ by Capelli's lemma. When $m = 3$ an…

Permutation polynomials, projective polynomials, and bijections between μq−1qn−1​​ and PG(n−1,q)

On stable polynomials of degrees 2,3,4

Permutation polynomials, projective polynomials, and bijections between $μ_{\frac{q ^{n} - 1}{q - 1}}$ and $P G (n - 1, q)$

On stable polynomials of degrees $2, 3, 4$