New Family of Polyphase Sequences With Low Correlation From Galois Rings

Abstract

In this letter, we give a new construction of a family of sequences of period p^k -1 with low correlation value by using additive and multiplicative characters over Galois rings. The new constructed sequence family has family size (M-1)(p^k-1)^r p^kr(e-1) and alphabet size Mp^e. Based on the characters sum over Galois rings, an upper bound on the correlation of this sequence family is presented.