(2,1)-Lagged Fibonacci Generators Using Elliptic Curves over Finite Fields

A novel pseudorandom sequence generator is presented in this paper. The genesis of this new generator is evolved from the concept of lagged Fibonacci generator by Geroge Marsagalia (1992) applied to points on elliptic curves over a finite field. It is observed that the generator has a long period. Also a successful statistical testing of the randomness attributes of the given generator, in accordance with the National Institute of Standards and Technology test suite, admits to a key stream source that is in conformance with the advanced encryption standard for data encryption.