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Improved Cryptanalysis of the KMOV Elliptic Curve Cryptosystem
public-key cryptography KMOV
2019/9/19
This paper presents two new improved attacks on the KMOV cryptosystem. KMOV is an encryption algorithm based on elliptic curves over the ring ZNZN where N=pqN=pq is a product of two large primes of eq...
A New Generalization of the KMOV Cryptosystem
KMOV cryptosystem, Elliptic curves, Prime power modulus
2017/11/13
The KMOV scheme is a public key cryptosystem based on an RSA modulus n=pqn=pq where pp and qq are large prime numbers with p≡q≡2(mod3)p≡q≡2(mod3). It uses the points of an elliptic curve with equation...
An efficient semantically secure elliptic curve cryptosystem based on KMOV
public-key cryptography semantic security elliptic curves
2009/4/13
We propose an elliptic curve scheme over the ring Zn2 , which is efficient
and semantically secure in the standard model. There appears to be no previous
elliptic curve cryptosystem based on factori...