More constructions of 3-weight linear codes
type: Item
instance of: scholarly article
title: More constructions of 3-weight linear codes
zbMATH Open document ID: 1477.94074
DOI: 10.1155/2021/6662843
author: Lingyong Ma
author: Guanjun Li
author: Fengyan Liu
published in: Journal of Mathematics
publication date: 2021-09-10T00:00:00Z
review text: Summary: Linear codes with few weights have become an interesting research topic and important applications of cryptography and coding theory. In this paper, we apply some ternary near-bent and 2-plateaued functions or \(r\)-ary functions to construct more 3-weight linear codes, where \(r\) is a prime. Moreover, we determine the weight distributions of the resulted linear codes by means of some exponential sums.
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 7393940
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/6662843
OpenAlex ID: W3120289058
cites work: On triple-sum-sets and two or three weights codes
cites work: Three-weight cyclic codes and their weight distributions
cites work: Two-Weight Codes Punctured from Irreducible Cyclic Codes
cites work: Value Distributions of Exponential Sums From Perfect Nonlinear Functions and Their Applications
cites work: Hamming Weights of the Duals of Cyclic Codes With Two Zeros
cites work: The Weight Enumerator of a Class of Cyclic Codes
cites work: Optimal \(p\)-ary cyclic codes with minimum distance four from monomials
cites work: The weight distribution of a class of \(p\)-ary cyclic codes
cites work: The weight distribution of a family of \(p\)-ary cyclic codes
cites work: How to build robust shared control systems
cites work: Q3338101
cites work: The Geometry of Two-Weight Codes
cites work: Linear Codes From Perfect Nonlinear Mappings and Their Secret Sharing Schemes
cites work: A coding theory construction of new systematic authentication codes
cites work: Secret sharing schemes from three classes of linear codes
cites work: Fundamentals of Error-Correcting Codes
cites work: Cyclotomic Linear Codes of Order $3$
cites work: Linear Codes From Some 2-Designs
cites work: Linear codes from a generic construction
cites work: A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
cites work: Linear Codes With Two or Three Weights From Weakly Regular Bent Functions
cites work: Three Classes of Minimal Linear Codes Over the Finite Fields of Odd Characteristic
cites work: Linear codes with two or three weights from quadratic bent functions
cites work: Q4945397
cites work: A construction of weakly and non-weakly regular bent functions
cites work: Several Classes of Quadratic Ternary Bent, Near-Bent and 2-Plateaued Functions
cites work: Explicit evaluations of some Weil sums
cites work: Further evaluations of Weil sums
description: scientific article; zbMATH DE number 7393940