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.
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| Datum: | 2015 |
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| Sprache: | English |
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Lugansk National Taras Shevchenko University
2015
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2015-09-28T11:22:08Z |
| collection |
OJS |
| language |
English |
| topic |
codes over finite rings \(\mathbb{Z}_q\)-linear code \(\mathbb{Z}_q\)-simplex code, 94B05 11H31 |
| 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 \(q\) |
| topic_facet |
codes over finite rings \(\mathbb{Z}_q\)-linear code \(\mathbb{Z}_q\)-simplex code, 94B05 11H31 |
| format |
Article |
| author |
Pandian, P. Chella Durairajan, C. |
| author_facet |
Pandian, P. Chella Durairajan, C. |
| author_sort |
Pandian, P. Chella |
| title |
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_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_sort |
on various parameters of \(\mathbb{z}_q\)-simplex codes for an even integer \(q\) |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2015 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/68 |
| work_keys_str_mv |
AT pandianpchella onvariousparametersofmathbbzqsimplexcodesforanevenintegerq AT durairajanc onvariousparametersofmathbbzqsimplexcodesforanevenintegerq |
| first_indexed |
2025-12-02T15:43:09Z |
| last_indexed |
2025-12-02T15:43:09Z |
| _version_ |
1850411780142006272 |