该文研究Bent序列和Gold-like序列, 设计了3类快速生成的Bent序列, 此外, 基于Klapper(1993)对几何序列相关性的分析, 递归地构造了一类Gold-like序列, 所得的Gold-like序列涵括了Khoo, Gong和Stinson(2002)递归生成的Gold-like序列。 根据Olsen, Scholtz和Welch(1982)给出的Bent序列簇的构造方法, 该文得到的Bent序列可以迅速地构造Bent序列簇。此外, 该文得到的Gold-like序列可以用来设计大周期的扩频序列簇。
In this paper, three families of Bent sequences that can be quickly generated are presented. Then based on the analysis of correlation of geometric sequences by Klapper in 1993, a family of Gold-like sequences is recursively constructed, which contains the Gold-like sequences constructed in 2002 by Khoo, Gong and Stinson. On account of the theory of Olsen, Scholtz and Welch, three Bent sequence families used in a DS CDMA system can be quickly obtained by the Bent sequences here. And sequence families with large periods can be obtained by Gold-like sequences recursively constructed.