Systems and methods are provided to generate a set of synchronization channel sequences that optimize time and frequency acquisition. A set of root indices of Zadoff-Chu sequences in a first domain (e.g., time domain) that optimize a performance metric or merit factor are identified. An optimal index is determined that also optimizes a performance metric in a reciprocal domain (e.g., frequency domain). For sequences of length Q2=N, a base sequence generated with an optimal sequence can be utilized to generate at least two disparate optimal sequences through sign-flip, conjugation, and periodic modulation operations. Evaluating a primary synchronization channel having length N of 63, an optimal pair of root indices of (28, 31, 32) and (31, 33, 35) provide a five-fold improvement in frequency offset error over conventional single index set of (25, 29, 34).