On the autocorrelation and cross-correlation of ternary möbius sequence over finite field

Abstract

This paper proposes a novel approach for pseudo random ternary sequence over finite field. The sequence is generated from a primitive polynomial over finite field applying trace function and möbius function. This paper further presents some important properties such as period, autocorrelation and cross-correlation of the generated sequence. The proposed approach is experimented on various bit length of odd characteristic and compared with some existing works. The comparison results shows the superiority of the proposed approach over existing ones.