Algebraic Constructions of Optimal Frequency-Hopping Sequences

作者：Cunsheng Ding, Marko J. Moisio, Jin Yun Yuan · 发表于：IEEE Transactions on Information Theory · 年份：2007 · DOI：10.1109/tit.2007.899545 · 被引用次数：125 · 研究领域：Coding theory and cryptography、Wireless Communication Networks Research、graph theory and CDMA systems

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.