Title :
Duality for Poset Codes
Author :
de Oliveira Moura, Allan ; Firer, Marcelo
Author_Institution :
IMECC, Univ. Estadual de Campinas, Campinas, Brazil
fDate :
7/1/2010 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2010.2048464
