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Conference Papers Year : 2019

Improved Cryptanalysis of the KMOV Elliptic Curve Cryptosystem

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Willy Susilo
  • Function : Author
  • PersonId : 1056332
Joseph Tonien
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  • PersonId : 1056333

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.
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Dates and versions

hal-02320906 , version 1 (19-10-2019)

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Abderrahmane Nitaj, Willy Susilo, Joseph Tonien. Improved Cryptanalysis of the KMOV Elliptic Curve Cryptosystem. Provable Security ProvSec 2019, 2019, Cairns, Australia. ⟨10.1007/978-3-030-31919-9_12⟩. ⟨hal-02320906⟩
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