On semisimple algebra codes: generator theory
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On semisimple algebra codes: generator theory
|
|
| Creator |
Martınez-Moro, E.
|
|
| Description |
The class of affine variety codes is defined as the Fq linear subspaces of A a Fq-semisimple algebra, where Fq is the finite field with q=pr elements and characteristic p. It seems natural to impose to the code some extra structure such as been a subalgebra of A. In this case we will have codes that have a Mattson-Solomon transform treatment as the classical cyclic codes. Moreover, the results on the structure of semisimple finite dimensional algebras allow us to study those codes from the generator point of view.
|
|
| Date |
2019-06-10T14:39:44Z
2019-06-10T14:39:44Z 2007 |
|
| Type |
Article
|
|
| Identifier |
On semisimple algebra codes: generator theory / E. Martınez-Moro // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 99–112. — Бібліогр.: 21 назв. — англ.
1726-3255 2000 Mathematics Subject Classification:13P10,94B05,94B15. http://dspace.nbuv.gov.ua/handle/123456789/152365 |
|
| Language |
en
|
|
| Relation |
Algebra and Discrete Mathematics
|
|
| Publisher |
Інститут прикладної математики і механіки НАН України
|
|