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| 摘要: |
| 本文构造了一类周期为pq（p和q是不同的奇素数）的几乎平衡的二元序列，基于4阶Whiteman-广义分圆和2阶经典分圆我们确定了这类序列的线性复杂度.研究结果表明该类序列从线性复杂度的角度来看是非常好的. |
| 关键词: 二元序列 线性复杂度 分圆 广义分圆序列 |
| DOI： |
| 分类号:O157.4 |
| 基金项目:Supported by Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (Y201707). |
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| LINEAR COMPLEXITY OF GENERALIZED CYCLOTOMIC BINARY SEQUENCES OF PERIOD pq |
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YANG Bo,DU Tian-qi,XIAO Zi-bi
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| Abstract: |
| In this paper, a class of generalized cyclotomic binary sequences of period pq is proposed, where p and q are two distinct odd primes. By using Whiteman's generalized cyclotomy of order 4 and classic cyclotomy of order 2, the sequences are almost balanced and the exact value of their linear complexity is calculated, which shows that the proposed sequences are quite good in terms of the linear complexity. |
| Key words: binary sequence linear complexity cyclotomy generalized cyclotomic sequence |
