KFU. Card publication. RSA Cryptosystem for Rings with Commuting Ideals

KAZAN
FEDERAL UNIVERSITY

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RSA CRYPTOSYSTEM FOR RINGS WITH COMMUTING IDEALS

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Nasrutdinov Marat Faritovich, author

Bibliographic description in the original language

Nasrutdinov, M.F., Tronin, S.N. RSA Cryptosystem for Rings with Commuting Ideals. Lobachevskii J Math 43, 3591–3596 (2022). https://doi.org/10.1134/S1995080222150227

Annotation

This article presents a generalization of the RSA cryptosystem for rings with commuting ideals. An analogue of the Euler function for ideals and the concept of an RSA-ideal are defined. An analog of a cryptosystem for the ring with commuting ideals is formulated and a description of the RSA-ideals for which this is possible is obtained.

Keywords

algebraic cryptography, rings with commuting ideals, RSA cryptosystem, Euler's function for ideals

The name of the journal

Lobachevskii Journal of Mathematics (international electronic journal)

URL

https://link.springer.com/article/10.1134/S1995080222150227

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=277924&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Nasrutdinov Marat Faritovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Nasrutdinov, M.F., Tronin, S.N. RSA Cryptosystem for Rings with Commuting Ideals. Lobachevskii J Math 43, 3591–3596 (2022). https://doi.org/10.1134/S1995080222150227	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=277924&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics (international electronic journal)	ru_RU
dc.description.abstract	This article presents a generalization of the RSA cryptosystem for rings with commuting ideals. An analogue of the Euler function for ideals and the concept of an RSA-ideal are defined. An analog of a cryptosystem for the ring with commuting ideals is formulated and a description of the RSA-ideals for which this is possible is obtained.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	algebraic cryptography	ru_RU
dc.subject	rings with commuting ideals	ru_RU
dc.subject	RSA cryptosystem	ru_RU
dc.subject	Euler's function for ideals	ru_RU
dc.title	RSA Cryptosystem for Rings with Commuting Ideals	ru_RU
dc.type	Articles in international journals and collections	ru_RU