An improved Serre bound for elementary Abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes

Moreno, O; Pedersen, JP; Polemi, D

dc.contributor.author	Moreno, O	en
dc.contributor.author	Pedersen, JP	en
dc.contributor.author	Polemi, D	en
dc.date.accessioned	2014-03-01T01:13:34Z
dc.date.available	2014-03-01T01:13:34Z
dc.date.issued	1998	en
dc.identifier.issn	0018-9448	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12574
dc.subject	BCH codes	en
dc.subject	Elementary Abelian extensions	en
dc.subject	Generalized Hamming weights	en
dc.subject.classification	Computer Science, Information Systems	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.other	LINEAR CODES	en
dc.title	An improved Serre bound for elementary Abelian extensions of Fq(x) and the generalized Hamming weights of duals of BCH codes	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/18.669413	en
heal.identifier.secondary	http://dx.doi.org/10.1109/18.669413	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	An improvement on the Serre bound for the number of rational places is obtained. Using our result we improve the bounds on the generalized Hamming weights of the duals of the BCH codes estimated by Stichtenoth and Vo beta. Our new bound is tight in the binary case of the generalized Hamming weight of BCH(2)(perpendicular to).	en
heal.publisher	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC	en
heal.journalName	IEEE Transactions on Information Theory	en
dc.identifier.doi	10.1109/18.669413	en
dc.identifier.isi	ISI:000073200100038	en
dc.identifier.volume	44	en
dc.identifier.issue	3	en
dc.identifier.spage	1291	en
dc.identifier.epage	1293	en