How do I design the frequency hopping pattern for a military communication system?

Designing the frequency hopping pattern for a military communication system creates a pseudo-random sequence of carrier frequencies that the transmitter and receiver follow synchronously, providing anti-jam (AJ) protection, low probability of intercept (LPI), and low probability of detection (LPD). The design involves: defining the hopping band (the total frequency range over which the system hops; wider is better for AJ protection; military HF systems: 2-30 MHz; VHF: 30-88 MHz or 225-400 MHz; UHF: 225-512 MHz; typical hopping bands are 20-200 MHz wide), determining the hop rate (the number of frequency changes per second; slow hopping: 50-200 hops/sec (multiple data symbols per hop, used in tactical VHF radios like SINCGARS at 100 hops/sec); fast hopping: 1,000-100,000 hops/sec (multiple hops per symbol, providing better AJ protection because the jammer must spread its power across many frequencies)), designing the hopping sequence generator (uses a pseudo-random number generator (PRNG) seeded with a shared secret key known only to authorized communicators; the PRNG output selects the next frequency from the hopping set; the sequence must: appear random to an adversary without the key, cover the entire hopping band uniformly (each frequency is visited approximately equally often), avoid revisiting the same frequency for many hops (to prevent a follower jammer from predicting the next hop)), selecting the number of hop frequencies (N_channels = BW_hopping / BW_channel; for a 50 MHz hopping band with 25 kHz channel spacing: N = 2000 channels; more channels provides better AJ protection: the jammer must divide its power among more frequencies), and implementing synchronization (the transmitter and receiver must hop in synchronization; this requires: a precise shared time reference (GPS timing provides microsecond accuracy), and the same PRNG with the same key and initial state).