Frequency hopping/time hopping(FH/TH) sequences have found wide applications in various modern FH/TH spread spectrum communications,such as digital cellular mobile communication,short-range wireless communication,personal communication,and multi-user radar,sonar systems.In order to evaluate the goodness of FH/TH sequences design,the periodic Hamming correlation function is used as an important measure.Usually,the length of correlation window is shorter than the period of the chosen FH/TH sequence,so the study of the partial Hamming correlation of FH/TH sequence is particularly important.In this paper,a new class of FH/TH sequence sets with good partial Hamming correlation properties is proposed and investigated.The construction of new FH/TH sequence sets is based upon the generalized m-sequence and generalized Gordon-Mills-Welch sequence over a polynomial residue class ring.It is shown that new FH/TH sequence sets are optimal with respect to the partial Hamming correlation bound. Frequency hopping / time hopping (FH / TH) sequences have found wide applications in various modern FH / TH spread spectrum communications, such as digital cellular mobile communication, short-range wireless communication, personal communication, and multi-user radar, sonar systems. In order to evaluate the goodness of FH / TH sequences design, the periodic Hamming correlation function is used as an important measure. Usually, the length of correlation window is shorter than the period of the chosen FH / TH sequence, so the study of the partial Hamming correlation of FH / TH sequence is particularly important. In this paper, a new class of FH / TH sequence sets with good partial Hamming correlation properties is proposed and investigated. The construction of new FH / TH sequence sets is based upon the generalized m-sequence and generalized Gordon-Mills-Welch sequence over a polynomial residue class ring. It is shown that the new FH / TH sequence sets are optimal with respect to the partial Hamming correlation bound.