On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\)
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.
Збережено в:
| Дата: | 2015 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2015
|
| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543398211616768 |
|---|---|
| author | Pandian, P. Chella Durairajan, C. |
| author_facet | Pandian, P. Chella Durairajan, C. |
| author_sort | Pandian, P. Chella |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2015-09-28T11:22:08Z |
| description | 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. |
| first_indexed | 2025-12-02T15:43:09Z |
| format | Article |
| id | admjournalluguniveduua-article-68 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:43:09Z |
| publishDate | 2015 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-682015-09-28T11:22:08Z On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) Pandian, P. Chella Durairajan, C. codes over finite rings, \(\mathbb{Z}_q\)-linear code, \(\mathbb{Z}_q\)-simplex code, 94B05, 11H31 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. Lugansk National Taras Shevchenko University The first author would like to gratefully acknowledge the UGC-RGNF[Rajiv Gandhi National Fellowship], New Delhi for providing fellowship {The second author was supported by a grant(SR/S4/MS:588/09) for the Department of Science and Technology, New Delhi 2015-09-28 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68 Algebra and Discrete Mathematics; Vol 19, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68/17 Copyright (c) 2015 Algebra and Discrete Mathematics |
| spellingShingle | codes over finite rings \(\mathbb{Z}_q\)-linear code \(\mathbb{Z}_q\)-simplex code, 94B05 11H31 Pandian, P. Chella Durairajan, C. On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) |
| title | On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) |
| title_full | On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) |
| title_fullStr | On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) |
| title_full_unstemmed | On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) |
| title_short | On various parameters of \(\mathbb{Z}_q\)-simplex codes for an even integer \(q\) |
| title_sort | on various parameters of \(\mathbb{z}_q\)-simplex codes for an even integer \(q\) |
| topic | codes over finite rings \(\mathbb{Z}_q\)-linear code \(\mathbb{Z}_q\)-simplex code, 94B05 11H31 |
| topic_facet | codes over finite rings \(\mathbb{Z}_q\)-linear code \(\mathbb{Z}_q\)-simplex code, 94B05 11H31 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68 |
| work_keys_str_mv | AT pandianpchella onvariousparametersofmathbbzqsimplexcodesforanevenintegerq AT durairajanc onvariousparametersofmathbbzqsimplexcodesforanevenintegerq |