Multiplicative orders of elements in Conway's towers of finite fields
We give a lower bound on multiplicative orders of some elements in defined by Conway towers of finite fields of characteristic two and also formulate a condition under that these elements are primitive.
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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-1722018-05-17T07:54:05Z Multiplicative orders of elements in Conway's towers of finite fields Popovych, Roman finite field, multiplicative order, Conway's tower 11T30 We give a lower bound on multiplicative orders of some elements in defined by Conway towers of finite fields of characteristic two and also formulate a condition under that these elements are primitive. Lugansk National Taras Shevchenko University 2018-04-27 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172 Algebra and Discrete Mathematics; Vol 25, No 1 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/172/60 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/172/315 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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| datestamp_date |
2018-05-17T07:54:05Z |
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OJS |
| language |
English |
| topic |
finite field multiplicative order Conway's tower 11T30 |
| spellingShingle |
finite field multiplicative order Conway's tower 11T30 Popovych, Roman Multiplicative orders of elements in Conway's towers of finite fields |
| topic_facet |
finite field multiplicative order Conway's tower 11T30 |
| format |
Article |
| author |
Popovych, Roman |
| author_facet |
Popovych, Roman |
| author_sort |
Popovych, Roman |
| title |
Multiplicative orders of elements in Conway's towers of finite fields |
| title_short |
Multiplicative orders of elements in Conway's towers of finite fields |
| title_full |
Multiplicative orders of elements in Conway's towers of finite fields |
| title_fullStr |
Multiplicative orders of elements in Conway's towers of finite fields |
| title_full_unstemmed |
Multiplicative orders of elements in Conway's towers of finite fields |
| title_sort |
multiplicative orders of elements in conway's towers of finite fields |
| description |
We give a lower bound on multiplicative orders of some elements in defined by Conway towers of finite fields of characteristic two and also formulate a condition under that these elements are primitive. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172 |
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AT popovychroman multiplicativeordersofelementsinconwaystowersoffinitefields |
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2025-07-17T10:34:20Z |
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2025-07-17T10:34:20Z |
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1837889969520115712 |