在通信系统中, 直接序列扩频和跳频扩频是两种最主要的扩散编码技术. 而在FH-CDMA系统中, 跳频序列被广泛使用. 利用分圆法和离散对数函数, 首先构造了一类具有新参数的跳频序列族, 并给出了各类汉明相关值的计算公式. 其次, 证明了所构造的跳频序列(族)所具有的最优性.

Direct-sequence spread spectrum and frequency-hopping spread spectrum are two main spread coding technologies in communication systems. Frequency-hopping sequences are widely needed in FH-CDMA systems. Firstly, a new frequency-hopping sequences set with new parameters is constructed, the calculation formulas of all kinds of Hamming correlation values of which are given. Secondly, the proposed frequency-hopping sequences (set) are shown to be optimal.