Maosheng Xiong

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math.NT2026

Characterization of a class of complete permutation quadrinomials over $F_{2^{2 m}}$

Yanjun Li, Maosheng Xiong

Let $q = 2^{m}$ , $Q = 2^{k}$ , and $1 \leq k \leq m - 1$ . We characterize complete permutation polynomials (CPPs) over $F_{q^{2}}$ of the form \[ f(x)=c_0x^{Q+1}+c_1x^{Q+q}+c_2x^{qQ+1} +…

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 $F_{q}^{*}$ ,…

Characterization of a class of complete permutation quadrinomials over F22m​

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

Characterization of a class of complete permutation quadrinomials over $F_{2^{2 m}}$