Self-dual codes over ℤ4 and unimodular lattices using orthogonal designs

Georgiou, S; Koukouvinos, C

dc.contributor.author	Georgiou, S	en
dc.contributor.author	Koukouvinos, C	en
dc.date.accessioned	2014-03-01T01:18:20Z
dc.date.available	2014-03-01T01:18:20Z
dc.date.issued	2002	en
dc.identifier.issn	0315-3681	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14939
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0036864931&partnerID=40&md5=b109878ec2fee21a124c81af151a84f2	en
dc.subject	Even Unimodular Lattices	en
dc.subject	Odd Unimodular Lattices	en
dc.subject	Orthogonal Designs	en
dc.subject	Self-dual codes	en
dc.subject	Type I Codes	en
dc.subject	Type II Codes	en
dc.subject	Unimodular Lattices	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Statistics & Probability	en
dc.title	Self-dual codes over ℤ4 and unimodular lattices using orthogonal designs	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Hadamard matrices and weighing matrices have been used widely in the construction of binary and ternary self-dual codes. Recently orthogonal designs have been used to construct some new extremal self-dual codes over larger fields such as GF(5) and GF(7) as well as Type II self-dual codes over Z(2k), k = 2,3,..., 11. In this paper we use orthogonal designs of order 12, to construct self-dual (Type II and Type I) codes over Z(4) of length 24 and then even unimodular lattices. AMS Subject Classification: Primary 941305, 941325, Secondary 051320 Key words and phrases: Self-dual codes, Type II Codes, Type I Codes, Unimodular Lattices, Even Unimodular Lattices, Odd Unimodular Lattices, Orthogonal Designs.	en
heal.publisher	UTIL MATH PUBL INC	en
heal.journalName	Utilitas Mathematica	en
dc.identifier.isi	ISI:000179984000006	en
dc.identifier.volume	62	en
dc.identifier.spage	83	en
dc.identifier.epage	93	en