Concatenated prime codes and quadratic prime codes

From both construct formula view and finite field model view, the relationship between concatenated prime codes and quadratic prime codes has been studied in this paper. As a result, two new methods of constructing frequency hopping (FH) sequences are derived, designated as exchange and time shift, which are still generalized and combined. Finally, one application of the novel methods to the general quadratic prime codes is presented and more new families of FH sequences are generated with properties unchanged.