@article{Chillali_Elhassani_Mouhib_2020, title={Cryptosystem based on lattice and elliptic curve}, volume={8}, url={https://gjom.org/index.php/gjom/article/view/362}, DOI={10.56947/gjom.v8i2.362}, abstractNote={<p>In this work, we propose a new way to use lattice theory to build a public key cryptosystem and digital signature scheme. This cryptosystem based on the approximate closest vector problem and the problem of the discrete logarithm on an elliptic curve defined on a finite local ring. At first, we choose a point on the elliptic curve and we will make the exchange of keys to the Diffie-Hellman. We transform the coordinates of this point into a matrix which gives us the private key which will serve us for encryption and decryption.</p&gt;}, number={2}, journal={Gulf Journal of Mathematics}, author={Chillali, Abdelhakim and Elhassani, Mohammed and Mouhib, Ali}, year={2020}, month={Aug.}, pages={27-34} }