Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations
In this paper we consider a modification of the attack on the classic RSA cryptosystem aimed at factoring the public modulus n, which is a product of three primes. To improve the performance of the modified attack we introduce additional parameters. We present the theoretical upper bound on the sea...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-11-01
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| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/LMR/article/view/33590 |
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| _version_ | 1832593191346372608 |
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| author | Aleksėjus Michalkovič Jokūbas Žitkevičius |
| author_facet | Aleksėjus Michalkovič Jokūbas Žitkevičius |
| author_sort | Aleksėjus Michalkovič |
| collection | DOAJ |
| description |
In this paper we consider a modification of the attack on the classic RSA cryptosystem aimed at factoring the public modulus n, which is a product of three primes. To improve the performance of the modified attack we introduce additional parameters. We present the theoretical upper bound on the search range parameter and define a shifting parameter based on the empirical results. Since these changes make our attack probabilistic, we investigate the dependence of the success on the values of the newly defined parameters.
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| format | Article |
| id | doaj-art-588a2d536e3147f9918a69a77fb2e771 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-11-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-588a2d536e3147f9918a69a77fb2e7712025-01-20T18:15:00ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-11-0164A10.15388/LMR.2023.33590Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equationsAleksėjus Michalkovič0Jokūbas Žitkevičius1Kaunas University of TechnologyKaunas University of Technology In this paper we consider a modification of the attack on the classic RSA cryptosystem aimed at factoring the public modulus n, which is a product of three primes. To improve the performance of the modified attack we introduce additional parameters. We present the theoretical upper bound on the search range parameter and define a shifting parameter based on the empirical results. Since these changes make our attack probabilistic, we investigate the dependence of the success on the values of the newly defined parameters. https://www.journals.vu.lt/LMR/article/view/33590asymmetric cryptographymulti-prime RSAinteger factorization problem |
| spellingShingle | Aleksėjus Michalkovič Jokūbas Žitkevičius Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations Lietuvos Matematikos Rinkinys asymmetric cryptography multi-prime RSA integer factorization problem |
| title | Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations |
| title_full | Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations |
| title_fullStr | Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations |
| title_full_unstemmed | Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations |
| title_short | Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations |
| title_sort | investigation of an attack on the multi prime rsa cryptosystem based on cubic equations |
| topic | asymmetric cryptography multi-prime RSA integer factorization problem |
| url | https://www.journals.vu.lt/LMR/article/view/33590 |
| work_keys_str_mv | AT aleksejusmichalkovic investigationofanattackonthemultiprimersacryptosystembasedoncubicequations AT jokubaszitkevicius investigationofanattackonthemultiprimersacryptosystembasedoncubicequations |