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Media type:
E-Article
Title:
Cryptosystem based on lattice and elliptic curve
Contributor:
Chillali, Abdelhakim;
Elhassani, Mohammed;
Mouhib, Ali
Published:
Gulf Journal of Mathematics, 2020
Published in:
Gulf Journal of Mathematics, 8 (2020) 2, Seite 27-34
Language:
Not determined
DOI:
10.56947/gjom.v8i2.362
ISSN:
2309-4966
Origination:
Footnote:
Description:
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.