Construction of self-dual binary [2²ⁿ,2²ⁿ⁻¹,2ⁿ]-codes
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Construction of self-dual binary [2²ⁿ,2²ⁿ⁻¹,2ⁿ]-codes
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| Creator |
Hannusch, C.
Lakatos, P. |
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| Description |
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.
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| Date |
2019-06-16T10:56:43Z
2019-06-16T10:56:43Z 2016 |
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| Type |
Article
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| Identifier |
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.
1726-3255 2010 MSC:94B05, 11T71, 20C05. http://dspace.nbuv.gov.ua/handle/123456789/155203 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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