Some good frequency hopping sequences with arbitrary number of slots

We propose a new construction of some favorable FH (frequency-hopping) sequences with an p^k-p^m number of slots using a FSR (feedback shift register) over GF(p) and some nonlinear logic. We show that the resulting sequences satisfy the (almost) uniform symbol distribution in one period and pre-serve a reasonably good Hamming correlation property so that they are appropriate for military applications.