On semisimple algebra codes: generator theory

• Published in: Algebra and Discrete Mathematics
• Date: 2007
• Main Author: Martınez-Moro, E.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152365
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On semisimple algebra codes: generator theory / E. Martınez-Moro // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 3. — С. 99–112. — Бібліогр.: 21 назв. — англ.

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...