A Nonlinear Sum of Squares Search for CAZAC Sequences

10/26/2022

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by   Mark Magsino, et al.

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United States Naval Academy

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The Ohio State University

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We report on a search for CAZAC sequences by using nonlinear sum of squares optimization. Up to equivalence, we found all length 7 CAZAC sequences. We obtained evidence suggesting there are finitely many length 10 CAZAC sequences with a total of 3040 sequences. Last, we compute longer sequences and compare their aperiodic autocorrelation properties to known sequences. The code and results of this search are publicly available through GitHub.