A Nonlinear Sum of Squares Search for CAZAC Sequences
Mark Magsino, Yixin Xu · 2023
Wereport on a search for CAZAC sequences by using a nonlinear sum of squaresoptimization proceedure. Up to equivalence, we found all length 7 CAZACsequences. We obtained evidence suggesting there are finitely many length 10CAZAC sequences with a total of 3040 sequences. Last, we compute longer CAZACsequences and compare their aperiodic autocorrelation properties to thewell-known Zadoff-Chu and Björck sequences. The code and results of this searchare publicly available through GitHub.