Self-dual codes over small prime fields from combinatorial designs

Koukouvinos, C; Simos, DE

dc.contributor.author	Koukouvinos, C	en
dc.contributor.author	Simos, DE	en
dc.date.accessioned	2014-03-01T02:46:30Z
dc.date.available	2014-03-01T02:46:30Z
dc.date.issued	2009	en
dc.identifier.issn	03029743	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32684
dc.subject	Combinatorial designs	en
dc.subject	Construction	en
dc.subject	Self-dual codes	en
dc.subject.other	Algebraic coding theory	en
dc.subject.other	Automorphism groups	en
dc.subject.other	Combinatorial design	en
dc.subject.other	Combinatorial designs	en
dc.subject.other	Construction method	en
dc.subject.other	Corresponding weights	en
dc.subject.other	Extremal	en
dc.subject.other	Hadamard	en
dc.subject.other	Hadamard matrices	en
dc.subject.other	Minimum weight	en
dc.subject.other	Prime field	en
dc.subject.other	Self-dual codes	en
dc.subject.other	Algebra	en
dc.subject.other	Computer programming	en
dc.subject.other	Design	en
dc.subject.other	Codes (symbols)	en
dc.title	Self-dual codes over small prime fields from combinatorial designs	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1007/978-3-642-03564-7_18	en
heal.identifier.secondary	http://dx.doi.org/10.1007/978-3-642-03564-7_18	en
heal.publicationDate	2009	en
heal.abstract	In this paper, we give some new extremal ternary self-dual codes which are constructed by skew-Hadamard matrices. This has been achieved with the aid of a recently presented modification of a known construction method. In addition, we survey the known results for self-dual codes over GF(5) constructed via combinatorial designs, i.e. Hadamard and skew-Hadamard matrices, and we give a new self-dual code of length 72 and dimension 36 whose minimum weight is 16 over GF(5) for the first time. Furthermore, we give some properties of the generated self-dual codes interpreted in terms of algebraic coding theory, such as the orders of their automorphism groups and the corresponding weight enumerators. © 2009 Springer.	en
heal.journalName	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)	en
dc.identifier.doi	10.1007/978-3-642-03564-7_18	en
dc.identifier.volume	5725 LNCS	en
dc.identifier.spage	278	en
dc.identifier.epage	287	en