Quaternary Sequence of Length pq with Low Autocorrelation

Abstract

Using inverse Gray mapping and generalized cyclotomic binary sequences, Zheng Yang et al.[2] constructed a quaternary sequence of length pq with low autocorrelation. In this paper, we present a new quaternary sequence by a variant of inverse Gray mapping and the generalized cyclotomic binary sequences, and calculate autocorrelation function of the new quaternary sequence. The results show that these two quaternary sequences have the same maximum nontrivial autocorrelation magnitude. Therefore it provides more quaternary sequences with low autocorrelation in communication systems.