Generalized Binary Udaya–Siddiqi Sequences

In this correspondence, we present a family of binary 2
ⁿ
sequences of period 2(2
ⁿ
-1) where n is an integer, which can be seen as a generalization of nonlinear binary sequences obtained from Z
₄
sequences and recently constructed GKW (Gold, Kasami, and Welch)-like sequences. The sequences have low correlations and are useful in code-division multiple-access (CDMA) communication systems and cryptography