Lietuvos Matematikos Rinkinys (Nov 2023)

Investigation of an attack on the multi-prime RSA cryptosystem based on cubic equations

  • Aleksėjus Michalkovič,
  • Jokūbas Žitkevičius

DOI
https://doi.org/10.15388/LMR.2023.33590
Journal volume & issue
Vol. 64, no. A

Abstract

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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.

Keywords