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

• Дата: 2015
• Автори: Pandian, P. Chella, Durairajan, C.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2015
• Теми: codes over finite rings; \(\mathbb{Z}_q\)-linear code; \(\mathbb{Z}_q\)-simplex code,; 94B05; 11H31
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68
• Назва журналу: 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.