Self-dual codes over GF(7) and orthogonal designs

Georgiou, S; Koukouvinos, C

dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:17:05Z
dc.date.available	2014-03-01T01:17:05Z
dc.date.issued	2001	en
dc.identifier.issn	0315-3681	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14349
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0039569533&partnerID=40&md5=4af55f909b001d960b5c57c7eb9819e7	en
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0039569533&partnerID=40&md5=4af55f909b001d960b5c57c7eb9819e7	en
dc.subject	Construction	en
dc.subject	Orthogonal designs	en
dc.subject	Self-dual codes	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.title	Self-dual codes over GF(7) and orthogonal designs	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	Self-dual codes and orthogonal designs have been studied for a long time as separate research areas. In this paper we show a strong relationship between them and orthogonal designs. The structure of orthogonal designs is such as to allow us a much faster and more systematic search for self-dual codes over GF(7). We describe some of the known methods for constructing self-dual codes and we develop a new construction method which is based on the orthogonal designs. Applying our method we are able to construct some new self-dual codes over GF(7). In particular we constructed two [16, 8, 7] and a [24, 12, 9] self-dual codes with new weight enumerators.	en
heal.publisher	UTIL MATH PUBL INC	en
heal.journalName	Utilitas Mathematica	en
dc.identifier.isi	ISI:000172136800005	en
dc.identifier.volume	60	en
dc.identifier.spage	79	en
dc.identifier.epage	89	en