On the structure and decoding of linear codes with respect to the Rosenbloom-Tsfasman metric
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Date
2004
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Selcuk University Research Center of Applied Mathematics
Access Rights
info:eu-repo/semantics/openAccess
Abstract
We investigate the structure of linear codes over finite fields with respect to recently introduced the Rosenbloom-Tsfasman metric. Given the generator of a linear code in a special triangular form called standard form we give a formula for the spectra of the code. We give a formula for the number of linear codes with a particular length, dimension and the minimum distance with respect to the Rosenbloom-Tsfasman metric. Finally, we propose a decoding technique with respect to this new metric.
Description
http://sjam.selcuk.edu.tr/sjam/article/view/141
Keywords
Binary linear codes, Rosenbloom-Tsfasman metric, Non-Hamming metric, Decoding, İkili doğrusal kodlar, Rosenbloom-Tsfasman metrik, Kod çözme
Journal or Series
Selcuk Journal of Applied Mathematics
WoS Q Value
Scopus Q Value
Volume
5
Issue
Citation
Özen, M., Şiap, İ. (2004). On the structure and decoding of linear codes with respect to the Rosenbloom-Tsfasman metric. Selcuk Journal of Applied Mathematics, 5 (2), 25-31.
