Chin Hei Chan

activity

20242026

collaborators

4 papers

math.PR2026

On the Group Randomness of 0-1 Real Sequences from Binary Linear Codes

Chin Hei Chan

In this paper, we study the group randomness of 0-1 real sequences derived from a binary linear code by investigating the spectral behaviour of a suitable normalization of the Gram…

math.NT2025

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…

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…

cs.IT2024

Decoding Error Probability of the Random Matrix Ensemble over the Erasure Channel

Chin Hei Chan, Fang-Wei Fu, Maosheng Xiong

Using tools developed in a recent work by Shen and the second author, in this paper we carry out an in-depth study on the average decoding error probability of the random matrix en…