Algebraic Constructions of Optimal Frequency-Hopping Sequences
Cunsheng Ding, Marko J. Moisio, Jin Yun Yuan · IEEE Transactions on Information Theory · 2007
Frequency-hopping (FH) spread spectrum and direct-sequence spread spectrum are two main spread-coding technologies. Frequency-hopping sequences are needed in FH code-division multiple-access (CDMA) systems. In this correspondence, three classes of optimal frequency-hopping sequences are constructed with algebraic methods. The three classes are based on perfect nonlinear functions, power functions, and norm functions, respectively. Both individual optimal frequency-hopping sequences and optimal families of frequency-hopping sequences are presented.