Low-hit-zone frequency hopping sequence (LHZ-FHS) sets having optimal Hamming correlation are desirable in quasi-synchronous communication systems. In this paper, we first derive a new bound on maximum nontrivial Hamming correlation of LHZ-FHS sets from the famous Singleton bound in error correcting code literature, then obtain a general construction of LHZ-FHS sets from cyclic codes. Especially, two classes of LHZ-FHS sets meeting the new bound are constructed from punctured Reed-Solomon codes.

中文翻译：

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从循环码构造低命中区跳频序列集

在准同步通信系统中，需要具有最佳汉明相关性的低命中区跳频序列（LHZ-FHS）集合。在本文中，我们首先从纠错码文献中著名的 Singleton 界推导出 LHZ-FHS 集的最大非平凡汉明相关的新界，然后从循环码中得到 LHZ-FHS 集的一般构造。特别是，满足新界的两类 LHZ-FHS 集是由打孔的 Reed-Solomon 码构成的。