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ON PERFECT CODES IN THE LEE-ROSENBLOOM-TSFASMAN-JAIN METRIC

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dc.contributor.authorBulut Yilgor, Merve
dc.contributor.authorDemirkale, Fatih
dc.date.accessioned2026-06-27T14:27:25Z
dc.date.issued2019
dc.description.abstractIn this paper, we study perfect codes in the Lee-Rosenbloom-Tsfasman-Jain (LRTJ) metric over the finite field Z(p). We begin by deriving some new upper bounds focusing on the number of parity check digits for linear codes correcting all error vectors of LRTJ weight up to w, 1 <= w <= 4. Furthermore, we establish sufficient conditions for the existence of perfect codes correcting all error vectors with certain weights. We also search for linear codes which attain these bounds to determine the possible parameters of perfect codes. Moreover, we derive parity check matrices corresponding linear codes correcting all error vectors of LRTJ weight 1 over Z(p), and correcting all error vectors of LRTJ weight up to 2 over Z(3) and Z(11). We also construct perfect codes for these cases. Lastly, we obtain non-existence results on w-perfect linear codes over Z(p) for 2 <= w <= 4.en
dc.identifier.eissn1304-7191
dc.identifier.endpage1329
dc.identifier.issn1304-7205
dc.identifier.issue4
dc.identifier.startpage1321
dc.identifier.urihttps://hdl.handle.net/20.500.14981/60828
dc.identifier.volume37
dc.identifier.wos000505058700022
dc.language.isoeng
dc.publisherYILDIZ TECHNICAL UNIV
dc.relation.ispartofSIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
dc.subjectLinear codes
dc.subjectperfect codes
dc.subjectLRTJ weight
dc.subjectLRTJ metric
dc.subjectNONEXISTENCE
dc.subjectEngineering
dc.titleON PERFECT CODES IN THE LEE-ROSENBLOOM-TSFASMAN-JAIN METRIC
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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