New Family of Polyphase Sequences with Low Correlation from Galois Rings

抄録

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)^rp^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.