A family of FH sequences based on 3DES block cipher for FHMA communications

A novel family of frequency hopping sequences based on 3DES iterated block cipher is proposed for frequency-hopping multiple-access (FHMA) communications. The design offers a class of nonlinear FH codes with high security, large linear span and a uniform spread over the entire frequency bandwidth. Moreover, FH sequences among the family are independent from each other and they perform as well as random patterns in terms of multiple access interference in anti-jamming applications. With the performance of packet error and throughput for FHMA network being derived in theory, many numerical results of the 3DES sequences are presented, comparing with those of shift register sequences and chaotic FH sequences. Efficiently implemented in field-programmable–gate-arrays (FPGA), the generator prototype of the proposed sequence has been realized and incorporated into fast FH radio.