Construction of self-dual binary [2²ⁿ,2²ⁿ⁻¹,2ⁿ]-codes

dc.contributor.author	Hannusch, C.
dc.contributor.author	Lakatos, P.
dc.date.accessioned	2019-06-16T10:56:43Z
dc.date.available	2019-06-16T10:56:43Z
dc.date.issued	2016
dc.identifier.citation	Construction of self-dual binary [2²ⁿ,2²ⁿ⁻¹,2ⁿ]-codes / C. Hannusch, P. Lakatos // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 59-68. — Бібліогр.: 15 назв. — англ.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC:94B05, 11T71, 20C05.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155203
dc.description.abstract	The binary Reed-Muller code RM(m−n,m) corresponds to the n-th power of the radical of GF(2)[G], where G is an elementary abelian group of order 2m. Self-dual RM-codes (i.e. some powers of the radical of the previously mentioned group algebra) exist only for odd m. The group algebra approach enables us to find a self-dual code for even m=2n in the radical of the previously mentioned group algebra with similarly good parameters as the self-dual RM codes.	uk_UA
dc.description.sponsorship	Research of the first author was partially supported by funding of EU’s FP7/2007-2013 grant No. 318202.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	Construction of self-dual binary [2²ⁿ,2²ⁿ⁻¹,2ⁿ]-codes	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA