Title
Generalized Hamming weights and some parameterized codes
Abstract
In this paper we find the complete weight hierarchy of the codes parameterized by the edges of the cycle C 4 and an upper bound in the case of the complete bipartite graph K 2 , n . Moreover we find some bounds for the generalized Hamming weights of some codes parameterized by a set of monomials of the same degree. These bounds work in the case of codes parameterized by the edges of any simple graph G . Also we establish the relationships among the generalized Hamming weights of any parameterized code of the form C X ( d ) and the generalized Hamming weights of the parameterized code of the form C X ' ( d ) , when X ' is embedded in X .
Year
DOI
Venue
2016
10.1016/j.disc.2015.10.026
Discrete Mathematics
Keywords
Field
DocType
Toric set,Parameterized code,Generalized Hamming weight,Minimum distance,Embedded set
Discrete mathematics,Hamming code,Combinatorics,Hamming(7,4),Cyclic code,Hamming distance,Linear code,Hamming weight,Hamming bound,Mathematics,Hamming graph
Journal
Volume
Issue
ISSN
339
2
0012-365X
Citations 
PageRank 
References 
0
0.34
11
Authors
2
Name
Order
Citations
PageRank
Manuel González Sarabia142.50
Carlos Rentería-Márquez2274.55