Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric

Özen, Mehmet

dc.contributor.authors	Ozen, M; Siap, I;
dc.date.accessioned	2020-01-17T08:21:41Z
dc.date.available	2020-01-17T08:21:41Z
dc.date.issued	2007
dc.identifier.citation	Ozen, M; Siap, I; (2007). Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 344, 799-790
dc.identifier.issn	0016-0032
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6084
dc.description.abstract	We investigate the structure of codes over Galois rings with respect to the Rosenbloom-Tsfasman (shortly RT) metric. We define a standard form generator matrix and show how we can determine the minimum distance of a code by taking advantage of its standard form. We compute the RT-weights of a linear code given with a generator matrix in standard form. We define maximum distance rank (shortly MDR) codes with respect to this metric and give the weights of the codewords of an MDR code. Finally, we give a decoding technique for codes over Galois rings with respect to the RT metric. (c) 2006 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
dc.description.uri	https://doi.org/10.1016/j.jfranklin.2006.02.001
dc.language	English
dc.publisher	PERGAMON-ELSEVIER SCIENCE LTD
dc.subject	Mathematics
dc.title	Codes over Galois rings with respect to the Rosenbloom-Tsfasman metric
dc.type	Article
dc.identifier.volume	344
dc.identifier.startpage	790
dc.identifier.endpage	799
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Özen, Mehmet
dc.relation.journal	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
dc.identifier.wos	WOS:000247284200033
dc.identifier.doi	10.1016/j.jfranklin.2006.02.001
dc.contributor.author	Özen, Mehmet