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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Duality for Poset Codes

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Author(s):
Moura, Allan de Oliveira [1] ; Firer, Marcelo [1]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, IMECC, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: IEEE TRANSACTIONS ON INFORMATION THEORY; v. 56, n. 7, p. 3180-3186, JUL 2010.
Web of Science Citations: 7
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. (AU)