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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543423084888064 |
|---|---|
| author | Popovych, Roman |
| author_facet | Popovych, Roman |
| author_sort | Popovych, Roman |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-17T07:54:05Z |
| 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. |
| first_indexed | 2026-02-08T07:59:18Z |
| format | Article |
| id | admjournalluguniveduua-article-172 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:59:18Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | finite field multiplicative order Conway's tower 11T30 Popovych, Roman Multiplicative orders of elements in Conway's towers of finite fields |
| title | 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_short | Multiplicative orders of elements in Conway's towers of finite fields |
| title_sort | multiplicative orders of elements in conway's towers of finite fields |
| topic | finite field multiplicative order Conway's tower 11T30 |
| topic_facet | finite field multiplicative order Conway's tower 11T30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/172 |
| work_keys_str_mv | AT popovychroman multiplicativeordersofelementsinconwaystowersoffinitefields |