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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 |
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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.
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Received: 04 September 2008
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