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 $n=pq$ where $p$ and $q$ are large prime numbers with $p\equiv q\equiv 2\pmod 3$. It uses the points of an elliptic curve with equation $y^2\equiv x^3+b\pmod n$. 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 cryptosystemElliptic curvesPrime power modulus
Contact author(s)
abderrahmane nitaj @ unicaen fr
History
2017-11-10: received
Short URL
https://ia.cr/2017/1077
License
Creative Commons Attribution
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},
      note = {\url{https://eprint.iacr.org/2017/1077}},
      url = {https://eprint.iacr.org/2017/1077}
}
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