Maosheng Xiong

collaborators

3 papers

math.NT2024

The central limit theorem for entries of random matrices with specific rank over finite fields

Chin Hei Chan, Maosheng Xiong

Let $F_{q}$ be the finite field of order $q$ , and $A$ a non-empty proper subset of $F_{q}$ . Let $M$ be a random $m \times n$ matrix of rank $r$ ove…

math.NT2024

Classification of a class of planar quadrinomials

Chin Hei Chan, Maosheng Xiong

Let $p$ be an odd prime, $k, ℓ$ be positive integers, $q = p^{k}, Q = p^{ℓ}$ . In this paper we characterise planar functions of the form $f_{\underline{c}}(X)=c_0X^{qQ+q}+c_1X^{qQ+1…

cs.IT2018

Random Matrices from Linear Codes and Wigner's semicircle law

Chin Hei Chan, Enoch Kung, Maosheng Xiong

In this paper we consider a new normalization of matrices obtained by choosing distinct codewords at random from linear codes over finite fields and find that under some natural al…