A New Generalization of the KMOV Cryptosystem

Maher Boudabra; Abderrahmane Nitaj

Paper 2017/1077

A New Generalization of the KMOV Cryptosystem

Maher Boudabra and Abderrahmane Nitaj

Abstract

The KMOV scheme is a public key cryptosystem based on an RSA modulus $n = p q$ where $p$ and $q$ are large prime numbers with $p \equiv q \equiv 2 (\mod 3)$ . It uses the points of an elliptic curve with equation $y^{2} \equiv x^{3} + b (\mod n)$ . In this paper, we propose a generalization of the KMOV cryptosystem with a prime power modulus of the form $n = p^{r} q^{s}$ and study its resistance to the known attacks.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Minor revision. Journal of Applied Mathematics and Computing
DOI: 10.1007/s12190-017-1103-6
Keywords: KMOV cryptosystem Elliptic curves Prime power modulus
Contact author(s): abderrahmane nitaj @ unicaen fr
History: 2017-11-10: received
Short URL: https://ia.cr/2017/1077
License: CC BY

BibTeX

@misc{cryptoeprint:2017/1077,
      author = {Maher Boudabra and Abderrahmane Nitaj},
      title = {A New Generalization of the {KMOV} Cryptosystem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2017/1077},
      year = {2017},
      doi = {10.1007/s12190-017-1103-6},
      url = {https://eprint.iacr.org/2017/1077}
}