On the property of divisibility points of elliptic curves over finite fields on two
In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve. Its effective implementation is achieved through a system of residual classes and approximate methods.
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| Format: | Article |
| Language: | Russian |
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North-Caucasus Federal University
2022-09-01
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| Series: | Наука. Инновации. Технологии |
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| Online Access: | https://scienceit.elpub.ru/jour/article/view/537 |
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| _version_ | 1849248682303553536 |
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| author | Michail Grigorievich Babenko Elena Sergeevna Karnauhova Victor Andreevich Kuchukov |
| author_facet | Michail Grigorievich Babenko Elena Sergeevna Karnauhova Victor Andreevich Kuchukov |
| author_sort | Michail Grigorievich Babenko |
| collection | DOAJ |
| description | In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve. Its effective implementation is achieved through a system of residual classes and approximate methods. |
| format | Article |
| id | doaj-art-085b0e28533e4d0fac35b173ecb31e42 |
| institution | Kabale University |
| issn | 2308-4758 |
| language | Russian |
| publishDate | 2022-09-01 |
| publisher | North-Caucasus Federal University |
| record_format | Article |
| series | Наука. Инновации. Технологии |
| spelling | doaj-art-085b0e28533e4d0fac35b173ecb31e422025-08-20T03:57:48ZrusNorth-Caucasus Federal UniversityНаука. Инновации. Технологии2308-47582022-09-01025362536On the property of divisibility points of elliptic curves over finite fields on twoMichail Grigorievich Babenko0Elena Sergeevna Karnauhova1Victor Andreevich Kuchukov2NCFUNCFUNCFUIn the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve. Its effective implementation is achieved through a system of residual classes and approximate methods.https://scienceit.elpub.ru/jour/article/view/537эллиптическая криваясистема остаточных классовприближенный методделимость точекelliptic curvesystem of residual classesapproximate methoddivisibility points |
| spellingShingle | Michail Grigorievich Babenko Elena Sergeevna Karnauhova Victor Andreevich Kuchukov On the property of divisibility points of elliptic curves over finite fields on two Наука. Инновации. Технологии эллиптическая кривая система остаточных классов приближенный метод делимость точек elliptic curve system of residual classes approximate method divisibility points |
| title | On the property of divisibility points of elliptic curves over finite fields on two |
| title_full | On the property of divisibility points of elliptic curves over finite fields on two |
| title_fullStr | On the property of divisibility points of elliptic curves over finite fields on two |
| title_full_unstemmed | On the property of divisibility points of elliptic curves over finite fields on two |
| title_short | On the property of divisibility points of elliptic curves over finite fields on two |
| title_sort | on the property of divisibility points of elliptic curves over finite fields on two |
| topic | эллиптическая кривая система остаточных классов приближенный метод делимость точек elliptic curve system of residual classes approximate method divisibility points |
| url | https://scienceit.elpub.ru/jour/article/view/537 |
| work_keys_str_mv | AT michailgrigorievichbabenko onthepropertyofdivisibilitypointsofellipticcurvesoverfinitefieldsontwo AT elenasergeevnakarnauhova onthepropertyofdivisibilitypointsofellipticcurvesoverfinitefieldsontwo AT victorandreevichkuchukov onthepropertyofdivisibilitypointsofellipticcurvesoverfinitefieldsontwo |