Maosheng Xiong

collaborators

2 papers

math.NT2026

Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes

Maosheng Xiong, Chi Hoi Yip

Let $p$ be a prime, let $q = p^{n}$ , and let $D \subseteq F_{q}^{*}$ . A celebrated result of Carlitz and McConnel states that if $D$ is a proper subgroup of $F_{q}^{*}$ ,…

math.CO2024

Some permutation pentanomials over finite fields of even characteristic

Farhana Kousar, Maosheng Xiong

In a recent paper Zhang et al. constructed 17 families of permutation pentanomials of the form $x^{t} + x^{r_{1} (q - 1) + t} + x^{r_{2} (q - 1) + t} + x^{r_{3} (q - 1) + t} + x^{r_{4} (q - 1) + t}$ over $\mathbb{F}_{q…