On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\)

• Date: 2015
• Main Authors: Pandian, P. Chella, Durairajan, C.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: codes over finite rings; \(\mathbb{Z}_q\)-linear code; \(\mathbb{Z}_q\)-simplex code,; 94B05; 11H31
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68
• Journal Title: Algebra and Discrete Mathematics

In this paper, we defined the \(\mathbb{Z}_q\)-linear codes and discussed its various parameters. We constructed \(\mathbb{Z}_q\)-Simplex code and\(\mathbb{Z}_q\)-MacDonald code and found its parameters. We have given a lower and  an upper bounds of its covering radius for q is an even integer.