A new generalization of the KMOV cryptosystem |
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Authors: | Maher Boudabra Abderrahmane Nitaj |
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Institution: | 1.Université de Monastir,Monastir,Tunisia;2.Laboratoire de Mathématiques Nicolas Oresme,Université de Caen Normandie,Caen,France |
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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 \(p\equiv q\equiv 2\pmod 3\). It uses the points of an elliptic curve with equation \(y^2\equiv x^3+b\pmod n\). 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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