Semisimple group codes and dihedral codes
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Semisimple group codes and dihedral codes
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| Creator |
Dutra, F.S.
Ferraz, R.A. Milies, C.P. |
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| Description |
We consider codes that are given as two-sided ideals in a semisimple finite group algebra FqG defined by idempotents constructed from subgroups of G in a natural way and compute their dimensions and weights. We give a criterion to decide when these ideals are all the minimal two-sided ideals o f FqG in the case when G is a dihedral group and extend these results also to a family of quaternion group codes. In the final sectio n, we give a method of decoding; i.e., of finding and correcting eve ntual transmission errors.
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| Date |
2019-06-15T16:58:39Z
2019-06-15T16:58:39Z 2009 |
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| Type |
Article
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| Identifier |
Semisimple group codes and dihedral codes/ F.S. Dutra, R.A. Ferraz, C.P. Milies // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 3. — С. 28–48. — Бібліогр.: 12 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:94B15, 94B60, 16S34, 20C05. http://dspace.nbuv.gov.ua/handle/123456789/154622 |
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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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