Özen, MehmetŞiap, İrfan2017-01-022017-01-022004Özen, 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), 25-31.1302-7980https://hdl.handle.net/20.500.12395/3648http://sjam.selcuk.edu.tr/sjam/article/view/141We 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.eninfo:eu-repo/semantics/openAccessBinary linear codesRosenbloom-Tsfasman metricNon-Hamming metricDecodingİkili doğrusal kodlarRosenbloom-Tsfasman metrikKod çözmeArticle52531