A NEW CRYPTOSYSTEM FOR ENCRYPTION AND DECRYPTION USING ELLIPITIC CURVES IN CRYPTOGRAPHY OVER FINITE FIELDS

摘要

This paper considers the use of cryptography with elliptic curves. It is presented and defined a new cryptosystem algorithm for encryption and decryption using elliptic curves with more than one secret and public keys. Furthermore, it is described the mathematical concepts related to elliptic curves, particularly the discrete logarithm problem on elliptic curves. A description of the Diffie-Hellman algorithm on elliptic curves and elliptic curve encryption algorithm with the recipients public keys are represented.