Notes on Small Private Key Attacks on Common Prime RSA

Mengce Zheng

Paper 2023/1330

Notes on Small Private Key Attacks on Common Prime RSA

Mengce Zheng

, Zhejiang Wanli University

Abstract

We point out critical deficiencies in lattice-based cryptanalysis of common prime RSA presented in ``Remarks on the cryptanalysis of common prime RSA for IoT constrained low power devices'' [Information Sciences, 538 (2020) 54--68]. To rectify these flaws, we carefully scrutinize the relevant parameters involved in the analysis during solving a specific trivariate integer polynomial equation. Additionally, we offer a synthesized attack illustration of small private key attacks on common prime RSA.

Metadata

Available format(s): PDF
Category: Attacks and cryptanalysis
Publication info: Published elsewhere. Minor revision. IEEE Access
DOI: 10.1109/ACCESS.2024.3349633
Keywords: Common prime RSA Cryptanalysis Small private key attack Trivariate integer polynomial Lattice
Contact author(s): mengce zheng @ gmail com
History: 2024-01-07: revised; 2023-09-06: received; See all versions
Short URL: https://ia.cr/2023/1330
License: CC BY

BibTeX

@misc{cryptoeprint:2023/1330,
      author = {Mengce Zheng},
      title = {Notes on Small Private Key Attacks on Common Prime {RSA}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2023/1330},
      year = {2023},
      doi = {10.1109/ACCESS.2024.3349633},
      url = {https://eprint.iacr.org/2023/1330}
}