CAJ | 학술논문

最大汉明相关与平均汉明相关是评价跳频序列族性能的两个重要参数。该文首先给出了源于Fermat商的广义分圆类的性质；其次，基于此广义分圆法构造了一类?p上的长度为p2，序列族的大小为p的跳频序列族；最后证明了该跳频序列族关于最大汉明相关界与平均汉明相关界都是最优的。
최대한명상관여평균한명상관시평개도빈서렬족성능적량개중요삼수。해문수선급출료원우Fermat상적엄의분원류적성질；기차，기우차엄의분원법구조료일류?p상적장도위p2，서렬족적대소위p적도빈서렬족；최후증명료해도빈서렬족관우최대한명상관계여평균한명상관계도시최우적。
The Maximum Hamming Correlation (MHC) and the Average Hamming Correlation (AHC) are two important performance measures of the frequency-hopping sequences. Firstly, some properties of generalized cyclotomy are derived from Fermat quotient. Secondly, based on the generalized cyclotomy, a class of optimal frequency-hopping sequences set with length of sequences2pand size beingp defined onp? is constructed. Finally, it is proved that the proposed frequency-hopping sequences set is optimal with respect to the maximum Hamming correlation bound and the average Hamming correlation bound.