Title
A class of cyclotomic linear codes and their generalized Hamming weights.
Abstract
Firstly, we give a formula on the generalized Hamming weights of linear codes constructed generically by defining sets. Secondly, by choosing properly the defining set we obtain a class of cyclotomic linear codes and then present two alternative formulas for calculating their generalized Hamming weights. Lastly, we determine their weight distributions and generalized Hamming weights partially. Especially, we solve the generalized Hamming weights completely in one case.
Year
DOI
Venue
2018
10.1007/s00200-018-0355-1
Appl. Algebra Eng. Commun. Comput.
Keywords
DocType
Volume
Cyclotomic linear code,Generalized Hamming weight,Weight distribution,Gauss sum,Gaussian period,94B05,11T22,11T23
Journal
abs/1708.04415
Issue
ISSN
Citations 
6
0938-1279
3
PageRank 
References 
Authors
0.40
16
1
Name
Order
Citations
PageRank
Fei Li1172.35