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 $Z_{n}$ where $n = p q$ 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 $e x - (p + 1) (q + 1) y = z$ , 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}
}