DocumentCode
1517072
Title
Duality for Poset Codes
Author
de Oliveira Moura, Allan ; Firer, Marcelo
Author_Institution
IMECC, Univ. Estadual de Campinas, Campinas, Brazil
Volume
56
Issue
7
fYear
2010
fDate
7/1/2010 12:00:00 AM
Firstpage
3180
Lastpage
3186
Abstract
In this paper, we extend Wei´s Duality Theorem, relating the generalized Hamming weight hierarchy of a code to the hierarchy of the dual code, to the scope of codes with poset metrics. As a consequence of this duality theorem, we prove some results concerning discrepancy of codes and chain condition for generalized weights.
Keywords
dual codes; duality (mathematics); Hamming weight hierarchy; Wei´s duality theorem; chain condition; dual code; generalized weight; poset codes; poset metrics; Codes; Cryptography; Extraterrestrial measurements; Hamming weight; Chain condition; generalized weight; poset codes; weight duality; weight hierarchy;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2010.2048464
Filename
5485009
Link To Document