On semisimple algebra codes: generator theory

• Date: 2018
• Main Author: Martınez-Moro, Edgar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Semisimple Algebra; Mattson-Solomon Transform; Discrete Fourier Transform; Grobner bases; 13P10,94B05,94B15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/861
• Journal Title: Algebra and Discrete Mathematics

The class of affine variety codes is defined as the \(\mathbb F_q\) linear subspaces of \(\mathcal A\) a \(\mathbb F_q\)-semisimple algebra, where \(\mathbb F_q\) is the finite field with \(q=p^r\) elements and characteristic \(p\). It seems natural to impose to the code some extra structure such as...