Four classes of linear codes from cyclotomic cosets
type: Item
instance of: scholarly article
title: Four classes of linear codes from cyclotomic cosets
zbMATH Open document ID: 1391.94858
author: Dabin Zheng
author: Jingjun Bao
published in: Designs, Codes and Cryptography
publication date: 2018-04-16T00:00:00Z
review text: The study of weight enumerators of linear codes is important for many goals -- it gives the error correcting ability of a given codes but also allows the computation of the probability of error detection and correction. In this paper the authors give four classes of linear codes from coset representatives of subgroups and cyclotomic coset families of some finite fields. By some combinatorial techniques and Gauss sums they compute the weight enumerators of these linear codes.
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 6860365
zbMATH Keywords: linear code
zbMATH Keywords: cyclic code
zbMATH Keywords: weight distribution
zbMATH Keywords: Gauss sum
reviewed by: Zlatko Varbanov
MaRDI profile type: Publication
full work available at URL: s10623-017-0374-0
OpenAlex ID: W2714885688
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DOI: 10.1007/S10623-017-0374-0
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description: scientific article; zbMATH DE number 6860365