Study on a Class of Whiteman-Generalized Cyclotomic Sequence with Length pq and Order Two
Li Sheng-qiang①; Zhou Liang①; Xiao Guo-zhen②
①National Key Lab of Communication, University of Electronic Science and Technology of China, Chengdu 610054, China; ②National Key Lab of ISN, Xidian University, Xi'an 710071, China
Abstract:Linear complexity is one of the most important indexes for measuring the randomness properties of sequences. Based on Whiteman-generalized cyclotomy, a new class of generalized cyclotomic sequences with length qp and order 2 is constructed. It is proved that the lower bound of linear complexity of the sequence is pq-p-q+1 with the proper selection of parameters p and q, and the sequence has balance property. Finally, this paper points out the method for determine linear complexity.
李胜强; 周 亮; 肖国镇. 一类周期为pq阶为2的Whiteman广义分圆序列研究[J]. 电子与信息学报, 2009, 31(9): 2205-2208 .
Li Sheng-qiang①; Zhou Liang①; Xiao Guo-zhen②. Study on a Class of Whiteman-Generalized Cyclotomic Sequence with Length pq and Order Two. , 2009, 31(9): 2205-2208 .