On the structure and decoding of linear codes with respect to the Rosenbloom-Tsfasman metric

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dc.contributor.authorÖzen, Mehmet
dc.contributor.authorŞiap, İrfan
dc.date.accessioned2017-01-02T11:53:49Z
dc.date.available2017-01-02T11:53:49Z
dc.date.issued2004
dc.descriptionhttp://sjam.selcuk.edu.tr/sjam/article/view/141en_US
dc.description.abstractWe 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.en_US
dc.identifier.citationÖzen, 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.en_US
dc.identifier.endpage31
dc.identifier.issn1302-7980en_US
dc.identifier.startpage25
dc.identifier.urihttps://hdl.handle.net/20.500.12395/3648
dc.identifier.volume5
dc.language.isoenen_US
dc.publisherSelcuk University Research Center of Applied Mathematicsen_US
dc.relation.ispartofSelcuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Kategori Belirleneceken_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectBinary linear codesen_US
dc.subjectRosenbloom-Tsfasman metricen_US
dc.subjectNon-Hamming metricen_US
dc.subjectDecodingen_US
dc.subjectİkili doğrusal kodlaren_US
dc.subjectRosenbloom-Tsfasman metriken_US
dc.subjectKod çözmeen_US
dc.titleOn the structure and decoding of linear codes with respect to the Rosenbloom-Tsfasman metricen_US
dc.typeArticleen_US

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