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періодичних видань НАН України
On semisimple algebra codes: generator theory
Репозиторій DSpace/Manakin
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On semisimple algebra codes: generator theory
Інший ID:
2000 Mathematics Subject Classification:13P10,94B05,94B15.
Посилання:
On semisimple algebra codes: generator theory / E. Martınez-Moro // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 99–112. — Бібліогр.: 21 назв. — англ.
Підтримка:
Partially supported by Spanish MEC MTM2004-00876 and MTM2004-00958. Thisresearch was carried out while the author visited the Boole Center for Research inInformatics, University College Cork, Ireland.
The author wants to thank Patrick Fitzpatrick and Massimiliano Sala
for their useful discussions and hints during his visit to the Boole Center
for Research in Informatics, University College Cork, Ireland. All the
computations were carried out with Singular 3.0 [9].
Дата:
2007
Переглядів:
502
Завантажень:
191
Анотація:
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.
