Paper 2024/1861

Another Lattice Attack Against an RSA-like Cryptosystem

George Teseleanu
Abstract

Let $N=pq$ be the product of two balanced prime numbers $p$ and $q$. In 2015, Roman'kov introduced an interesting RSA-like cryptosystem that, unlike the classical RSA key equation $ed - k (p-1)(q-1) = 1$, uses the key equation $ed - k r = 1$, where $r | p-1$ and is a large prime number. In this paper, we study if small private key attacks based on lattices can be applied to Roman'kov's cryptosystem. More precisely, we argue that such attacks do not appear to be applicable to this scheme without substantial adaptations.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Published elsewhere. SecITC 2024
Keywords
lattice attacksmall private key attackRSA
Contact author(s)
george teseleanu @ yahoo com
History
2024-11-23: revised
2024-11-14: received
See all versions
Short URL
https://ia.cr/2024/1861
License
Creative Commons Attribution-NonCommercial-ShareAlike
CC BY-NC-SA

BibTeX

@misc{cryptoeprint:2024/1861,
      author = {George Teseleanu},
      title = {Another Lattice Attack Against an {RSA}-like Cryptosystem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2024/1861},
      year = {2024},
      url = {https://eprint.iacr.org/2024/1861}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.