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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)
- 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
-
CC BY