Weight Distributions of a Class of Linear Codes

EasyChair Preprint no. 1223

Abstract

Linear codes with a few weights have many applications in secret sharing schemes, authentication codes, association schemes and strongly regular graphs, and they are also of importance in consumer electronics, communications and data storage systems. In this literature, based on the theory of defining sets, we present a class of five-weight linear codes over $\mathbb{F}_p$($ p $ is an odd prime). Then, we use exponential sums to determine its weight distributions.

Keyphrases: Gauss sums, linear codes, weight distributions

@Booklet{EasyChair:1223,
  author = {Xina Zhang and Xiaoni Du and Rong Wang and Fujun Zhang},
  title = {Weight Distributions of a Class of Linear Codes},
  howpublished = {EasyChair Preprint no. 1223},

  year = {EasyChair, 2019}}