Weight distributions for projective binary linear codes from Weil sums

A class of projective binary linear codes are constructed and their weight distributions are investigated using Weil sums. They have at most three nonzero weights, containing some optimal codes. Their dual codes are also studied and some of them are either optimal or almost optimal.

Bibliographic Details
Main Authors: Shudi Yang, Zheng-An Yao
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021499?viewType=HTML