New Quadriphase Sequences families with Larger Linear Span and Size

Abstract

In this paper, new families of quadriphase sequences with larger linear span and size have been proposed and studied. In particular, a new family of quadriphase sequences of period $2^n-1$ for a positive integer $n=em$ with an even positive factor $m$ is presented, the cross-correlation function among these sequences has been explicitly calculated. Another new family of quadriphase sequences of period $2(2^n-1)$ for a positive integer $n=em$ with an even positive factor $m$ is also presented, a detailed analysis of the cross-correlation function of proposed sequences has also been presented.