New Family of Polyphase Sequences with Low Correlation from Galois Rings
Linyan YU, Pinhui Ke, Zuling Chang · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2022
In this letter, we give a new construction of a family of sequences of period pk-1 with low correlation value by using additive and multiplicative characters over Galois rings. The new constructed sequence family has family size (M-1)(pk-1)rpkr(e-1) and alphabet size Mpe. Based on the characters sum over Galois rings, an upper bound on the correlation of this sequence family is presented.