At the beginning the paper describes the basic properties of finite field arithmetic and elliptic curve arithmetic over prime and binary fields. Then it discusses the elliptic curve discrete logarithm problem and its ...

The rapid development of electronic exchange of digital information increases the importance of information security in storage and transmission of data on public communication network. Cryptography has emerged as ...

Short Message Service (SMS) is a text messaging service component of mobile communication systems. It uses standardized communications protocols to exchange short text between mobile devices. SMS does not have any built-in ...

The security of elliptic curve cryptosystems depends on the difficulty of solving the Elliptic Curve Discrete Log Problem (ECDLP). Elliptic curves with large group order are used for elliptic curve cryptosystems not to ...

In this paper we propose the construction of nonlinear pseudorandom sequence from the group of points over an elliptic curve. This method is based on an elliptic curve (EC), a linear feedback shift register and a random ...