论文标题

非线性的正方形搜索Cazac序列

A Nonlinear Sum of Squares Search for CAZAC Sequences

论文作者

Magsino, Mark, Xu, Yixin

论文摘要

我们通过使用非线性优化的非线性总和来报告对Cazac序列的搜索。达到等效性,我们发现所有长度为7个Cazac序列。我们获得了证据,表明有一个有限的长度10 Cazac序列,总共有3040个序列。最后,我们计算更长的序列,并将它们的Aperiodic自相关特性与已知序列进行比较。此搜索的代码和结果可通过GitHub公开获得。

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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