Title Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations /
Another Title Trijų pirminių RSA kriptosistemos atakos, paremtos kubinėmis lygtimis, tyrimas.
Authors Michalkovič, Aleksėjus ; Žitkevičius, Jokūbas
DOI 10.15388/LMR.2023.33590
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Is Part of Lietuvos matematikos rinkinys, Ser. A.. Vilnius : Vilniaus universiteto leidykla. 2023, vol. 64, p. 25-35.. ISSN 0132-2818. eISSN 2335-898X
Keywords [eng] asymmetric cryptography ; multi-prime RSA ; integer factorization problem
Abstract [eng] 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.
Published Vilnius : Vilniaus universiteto leidykla
Type Journal article
Language English
Publication date 2023
CC license CC license description