Multiplicative orders of elements in Conway's towers of finite fields
We give a lower bound on multiplicative orders of certain elements in defined by Conway towers of finite fields of characteristic 2 and also formulate a condition under that these elements are primitive.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2018 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188353 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Multiplicative orders of elements in Conway's towers of finite fields / R. Popovych // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 137-146. — Бібліогр.: 14 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862724797453041664 |
|---|---|
| author | Popovych, R. |
| author_facet | Popovych, R. |
| citation_txt | Multiplicative orders of elements in Conway's towers of finite fields / R. Popovych // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 137-146. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We give a lower bound on multiplicative orders of certain elements in defined by Conway towers of finite fields of characteristic 2 and also formulate a condition under that these elements are primitive.
|
| first_indexed | 2025-12-07T18:48:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188353 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:48:56Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Popovych, R. 2023-02-23T19:38:09Z 2023-02-23T19:38:09Z 2018 Multiplicative orders of elements in Conway's towers of finite fields / R. Popovych // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 137-146. — Бібліогр.: 14 назв. — англ. 1726-3255 2010 MSC: 11T30. https://nasplib.isofts.kiev.ua/handle/123456789/188353 We give a lower bound on multiplicative orders of certain elements in defined by Conway towers of finite fields of characteristic 2 and also formulate a condition under that these elements are primitive. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Multiplicative orders of elements in Conway's towers of finite fields Article published earlier |
| spellingShingle | Multiplicative orders of elements in Conway's towers of finite fields Popovych, R. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188353 |
| work_keys_str_mv | AT popovychr multiplicativeordersofelementsinconwaystowersoffinitefields |