Central and non central codes of dihedral 2-groups

• Date: 2022
• Main Authors: Gupta, S., Rani, P.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2022
• Subjects: group algebra; idempotents; central codes; non central codes; distance; 11T71; 94B60; 95B65
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1569
• Journal Title: Algebra and Discrete Mathematics

In this paper, the central and non central codes of semisimple dihedral group algebra \(\mathbb{F}_qG\), over a finite field \(\mathbb{F}_q\), are constructed. Further the distances of these central and non central codes are computed.