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A New Generalization of the KMOV Cryptosystem

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 ≡ q ≡ 2 (mod 3). It uses the points of an elliptic curve with equation y^2 ≡ x^3 + b (mod 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.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-02320965
Contributor : Abderrahmane Nitaj <>
Submitted on : Saturday, October 19, 2019 - 11:47:39 PM
Last modification on : Tuesday, October 20, 2020 - 6:48:06 PM
Long-term archiving on: : Monday, January 20, 2020 - 1:11:16 PM

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Maher Boudabra, Abderrahmane Nitaj. A New Generalization of the KMOV Cryptosystem. Journal of Applied Mathematics and Computing, Springer, 2018, ⟨10.1007/s12190-017-1103-6⟩. ⟨hal-02320965⟩

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