View : 588 Download: 0

Full metadata record

DC Field Value Language
dc.contributor.author현종윤-
dc.date.accessioned2016-08-29T12:08:23Z-
dc.date.available2016-08-29T12:08:23Z-
dc.date.issued2012-
dc.identifier.issn1229-3067-
dc.identifier.otherOAK-18205-
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/231304-
dc.description.abstractIn 1991, Wei introduced generalized minimum Hamming weights for linear codes and showed their monotonicity and duality. Recently, several authors extended these results to the case of generalized minimum poset weights by using different methods. Here, we would like to prove the duality by using matroid theory. This gives yet another and very simple proof of it. In particular, our argument will make it clear that the duality follows from the well-known relation between the rank function and the corank function of a matroid. In addition, we derive the weight distributions of linear MDS and Near-MDS poset codes in the same spirit.-
dc.languageEnglish-
dc.titleSimple proofs for duality of generalized minimum poset weights and weight distributions of (Near-) MDS poset codes-
dc.typeArticle-
dc.relation.issue1-
dc.relation.volume22-
dc.relation.indexSCOPUS-
dc.relation.indexKCI-
dc.relation.startpage145-
dc.relation.lastpage152-
dc.relation.journaltitleAdvanced Studies in Contemporary Mathematics (Kyungshang)-
dc.identifier.scopusid2-s2.0-84863143014-
dc.author.googleKim D.S.-
dc.author.googleKim D.C.-
dc.author.googleHyun J.Y.-
dc.contributor.scopusid현종윤(10241085100)-
dc.date.modifydate20180104081001-
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE