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Generic complexity of solving of equations in finite groups, semigroups and fields Научная публикация

Конференция 5th International Scientific and Technical Conference on Mechanical Science and Technology Update
16-17 мар. 2021 , Омск
Журнал Journal of Physics: Conference Series
ISSN: 1742-6588 , E-ISSN: 1742-6596
Вых. Данные Год: 2021, Том: 1901, Номер: 1, Номер статьи : 012047, Страниц : DOI: 10.1088/1742-6596/1901/1/012047
Авторы Rybalov A. 1 , Shevlyakov A. 2
Организации
1 Sobolev Institute of Mathematics, prospekt Koptyuga 4, Novosibirsk, 630090, Russian Federation
2 Omsk State Technical University, prospekt Mira 11, Omsk, 644050, Russian Federation

Информация о финансировании (2)

1 Российский научный фонд 18-71-10028
2 Российский научный фонд 19-11-00209

Реферат: The paper is devoted by investigation of generic complexity of the algorithmic problem of solving of systems of equations in finite groups, finite semigroups and finite fields. We show that if this problem is intractable in the worst case and P = BPP, then there is no polynomial strongly generic algorithm, which solves it. The first author is supported by Russian Science Foundation, grant 19-11-00209. The second author is supported by Russian Science Foundation, grant 18-71-10028. © Published under licence by IOP Publishing Ltd.
Библиографическая ссылка: Rybalov A. , Shevlyakov A.
Generic complexity of solving of equations in finite groups, semigroups and fields
Journal of Physics: Conference Series. 2021. V.1901. N1. 012047 . DOI: 10.1088/1742-6596/1901/1/012047 Scopus OpenAlex
Идентификаторы БД:
Scopus: 2-s2.0-85107332713
OpenAlex: W3165409693
Цитирование в БД:
БД Цитирований
Scopus 1
OpenAlex 1
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