A new attack on the  KMOVcryptosystem

Abderrahmane Nitaj

Paper 2011/427

A new attack on the KMOVcryptosystem

Abderrahmane Nitaj

Abstract

In this paper, we analyze the security of the KMOV public key cryptosystem. KMOV is based on elliptic curves over the ring $\mathbb{Z}_n$ where $n=pq$ is the product of two large unknown primes of equal bit-size. We consider KMOV with a public key $(n,e)$ where the exponent $e$ satisfies an equation $ex-(p+1)(q+1)y=z$, with unknown parameters $x$, $y$, $z$. Using Diophantine approximations and lattice reduction techniques, we show that KMOV is insecure when $x$, $y$, $z$ are suitably small.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: KMOV elliptic curve cryptosystem RSA
Contact author(s): abderrahmane nitaj @ unicaen fr
History: 2011-08-12: received
Short URL: https://ia.cr/2011/427
License: CC BY

BibTeX

@misc{cryptoeprint:2011/427,
      author = {Abderrahmane Nitaj},
      title = {A new attack on the  {KMOVcryptosystem}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2011/427},
      year = {2011},
      url = {https://eprint.iacr.org/2011/427}
}