Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/55978
Type: Artigo
Title: Classification of Niederreiter-Rosenbloom-Tsfasman block codes
Author: Panek, Luciano
Firer, Marcelo
Alves, Marcelo Muniz Silva
Abstract: Poset and block metrics were introduced in recent years as alternative metrics to study error correcting codes. Poset-block codes were introduced in 2008, encompassing both poset and block metrics. In this paper, we study a family of such metrics, the Niederreiter-Rosenbloom-Tsfasman block metrics. In this context, we classify the classes of equivalent codes, describe canonical representatives of each class and develop much of the classical theory of error correcting codes for Niederreiter-Rosenbloom-Tsfasman block codes, including determination of packing radius and classification of MDS and perfect codes, determination of covering radius and characterization of quasi-perfect codes, and the description of an algorithm for syndrome decoding.
Poset and block metrics were introduced in recent years as alternative metrics to study error correcting codes. Poset-block codes were introduced in 2008, encompassing both poset and block metrics. In this paper, we study a family of such metrics, the Nie
Subject: Códigos corretores de erros (Teoria da informação)
Peso generalizado de Hamming
Códigos posets
Country: Estados Unidos
Editor: Institute of Electrical and Electronics Engineers
Citation: Ieee Transactions On Information Theory. Ieee-inst Electrical Electronics Engineers Inc, v. 56, n. 10, n. 5207, n. 5216, 2010.
Rights: Fechado
Identifier DOI: 10.1109/TIT.2010.2059590
Address: https://ieeexplore.ieee.org/document/5571877
Date Issue: 2010
Appears in Collections:IMECC - Artigos e Outros Documentos

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