Chao Liu

collaborators

3 papers

cs.IT2022

Generalized Hamming Weights of Linear Codes from Quadratic Forms over Finite Fields of Even Characteristic

Chao Liu, Dabin Zheng, Xiaoqiang Wang

The generalized Hamming weight of linear codes is a natural generalization of the minimum Hamming distance. They convey the structural information of a linear code and determine it…

math.NT2021

A Multiplicative Property for Zero-Sums II

David J. Grynkiewicz, Chao Liu

Let $G = C_{n} \oplus C_{mn}$ with $n \geq 2$ and $m \geq 1$ , and let $k \in [0, n - 1]$ . It is known that any sequence of $mn + n - 1 + k$ terms from $G$ must contain a nontrivial zero-sum of leng…

math.NT2021

A Multiplicative Property for Zero-Sums I

David J. Grynkiewicz, Chao Liu

Let $G = C_{n} \oplus C_{n}$ and let $k \in [0, n - 1]$ . We study the structure of sequences of terms from $G$ with maximal length $∣ S ∣ = 2 n - 2 + k$ that fail to contain a nontrivial zero-sum subs…