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A Nonlinear Sum of Squares Search for CAZAC Sequences
Published 26 Oct 2022 in cs.IT, eess.SP, and math.IT | (2210.14827v2)
Abstract: 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.
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