A Polar Optimization Search for CAZAC Sequences

We report on a search for CAZAC sequences from the minimization of a trigonometric sum that arises from a polar substitution. Our computations produced new CAZAC sequences of lengths 14 and 15 and identified CAZAC sequences of both lengths having aperiodic peak sidelobe level and integrated sidelobe level below those of P4, Wiener, and Zadoff-Chu quadratic phase constructions. Our methods generalize naturally to CASAC sequences. The code and results of our search are publicly available through GitHub.