Abstract : This paper presents two new improved attacks on the KMOV cryptosystem. KMOV is an encryption algorithm based on elliptic curves over the ring ZN where N = pq is a product of two large primes of equal bit size. The first attack uses the properties of the convergents of the continued fraction expansion of a specific value derived from the KMOV public key. The second attack is based on Coppersmith's method for finding small solutions of a multivariate polynomial modular equation. Both attacks improve the existing attacks on the KMOV cryptosystem.
https://hal-normandie-univ.archives-ouvertes.fr/hal-02320906 Contributor : Abderrahmane NitajConnect in order to contact the contributor Submitted on : Saturday, October 19, 2019 - 7:25:34 PM Last modification on : Monday, November 22, 2021 - 4:56:06 PM Long-term archiving on: : Monday, January 20, 2020 - 1:32:53 PM