Pseudo random binary sequence: A new approach over finite field and its properties

The pseudo random binary sequence plays an important role in cryptography and network security system. This paper proposes a new approach to pseudo random binary sequence over finite field and evaluates some important properties of the newly generated sequence. The sequence is generated by applying a primitive polynomial over finite field, trace function and modified mobius function. Then period, autocorrelation, cross-correlation and linear complexity properties of the generated sequence have been presented in this paper. Finally, the proposed sequence is analyzed on various bit length of odd characteristics of field and compared with some existing works. The comparison results show the superiority of the proposed approach over existing works in terms of its properties.