Modifications of Modified Jacobi Sequences
Modifications of Modified Jacobi Sequences
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DOI：
10.1109/tit.2010.2090271
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发表时间：
2011
影响因子：
2.5
通讯作者：
Tingyao Xiong;J. I. Hall
中科院分区：
文献类型：
--
作者：
Tingyao Xiong;J. I. Hall
已知的具有渐近优点因子6.0的二进制序列族是对勒让德序列族和雅可比序列族的修改。在这篇文章中，我们证明了当N=pq时，除了Jacobi序列或修正的Jacobi序列之外，还有许多合适的修改。此外，我们将对长度为N=pq的字符序列给出三个新的修改。基于这些新的修改，对于任何一对大的p和q，我们可以构造一个长度为2pq的二进制序列，使得这样的序列族在不循环移位基序列的情况下具有渐近优点因子6.0。
The known families of binary sequences having asymptotic merit factor 6.0 are modifications to the families of Legendre sequences and Jacobi sequences. In this paper, we show that at N = pq, there are many suitable modifications other than the Jacobi or modified Jacobi sequences. Furthermore, we will give three new modifications to the character sequences of length N = pq. Based on these new modifications, for any pair of large p and q, we can construct a binary sequence of length 2pq so that such families of sequences have asymptotic merit factor 6.0 without cyclic shifting of the base sequences.