Paper 2017/1077 Original: eprint.iacr.org/2017/1077 ↗
A New Generalization of the KMOV Cryptosystem
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
- Preprint.
- History
- 2017-11-10: last updated
- 2017-11-10: published
- Short URL
- https://ia.cr/2017/1077
- License
- https://creativecommons.org/licenses/by/4.0/
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},
url = {https://eprint.iacr.org/2017/1077}
}