Subjects: Mathematics >> Mathematics (General) Subjects: Information Science and Systems Science >> Information Security Technology submitted time 2023-02-18
Abstract: Constructing linear codes with few weights is an important research topic in coding and cryptography theory. The weight hierarchy of code also has basic theoretical significance in coding theory, and plays an important role in secret communications. In this paper, a class of 3-weight and a class of 4-weight binary linear codes are constructed, and their weight distributions and weight hierarchies are determined by exponential sum theory.
Peer Review Status:Awaiting Review