DocumentCode
1230550
Title
Weight hierarchy of a product code
Author
Barbero, Angela I. ; Tena, Juan G.
Author_Institution
Dept. of Math. Appl. to Eng., Valladolid Univ., Spain
Volume
41
Issue
5
fYear
1995
fDate
9/1/1995 12:00:00 AM
Firstpage
1475
Lastpage
1479
Abstract
Formulas to compute the first members of the weight hierarchy of a product code are given and proved. Basic patterns for the supports of subcodes in which the minimum cardinalities can be found are presented. Hence, formulas for every term of the hierarchy can be given, and the proof for each case will be a generalization of the proofs shown here
Keywords
linear codes; basic patterns; linear code; minimum cardinalities; product code; subcodes; weight hierarchy; Algebra; Galois fields; Geometry; Hamming distance; Hamming weight; Linear code; Mathematics; Product codes; Topology; Upper bound;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.412691
Filename
412691
Link To Document