IJPAM: Volume 85, No. 4 (2013)

CODES SATISFYING THE CHAIN
CONDITION WITH POSET WEIGHTS

Luciano Panek
Center of Exact Sciences and Engineering
State University of West Parana
85870-650, Foz do Iguaçu, PR, BRAZIL


Abstract. In this paper we extend the concept of generalized Hamming weights for poset-weight codes and show that any linear code C satisfies the chain condition if support of C is a totally ordered subposet.

Received: February 21, 2013

AMS Subject Classification: 94B05, 06A06

Key Words and Phrases: poset codes, generalized Hamming weights, chain condition, total order

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DOI: 10.12732/ijpam.v85i4.11 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 4