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). Optimal indices satisfy a centro-symmetric relationship with respect to a half-value of sequence length: When 1 is an optimal index, N−1 is also an optimal root index. 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.