New quaternary sequences of even length with optimal auto-correlation

New quaternary sequences of even length with optimal auto-correlation
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具有最佳自相关性的新偶数四元序列

DOI:
10.1007/s11432-016-9087-2
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发表时间:
2017-05
期刊:
Science China (Information Series)
影响因子:
--
通讯作者:
Xiaohu Tang
Xiaohu Tang
中科院分区:
其他
文献类型:
--
作者:
Wei Su;Yang Yang;Zhengchun Zhou;Xiaohu Tang

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具有低自相关特性的序列在码分多址通信系统、雷达和密码学中有着广泛的应用。利用逆Gray映射,可以从两个等长的二元序列得到一个偶数长的四元序列,称之为分量序列。本文利用交错方法,从Tang和Ding在2010年给出的孪生素数序列偶或GMW序列偶,或由4阶分圆类定义的2、3或4个二元序列中,给出了几类分量序列.因此,我们可以得到新的四元序列,这是不同于已知的,因为已知的组件序列是从一对二元序列与最佳自相关或Sidel'nikov序列构造。
Sequences with low auto-correlation property have been applied in code-division multiple access communication systems, radar and cryptography. Using the inverse Gray mapping, a quaternary sequence of even lengthNcan be obtained from two binary sequences of the same length, which are called component sequences. In this paper, using interleaving method, we present several classes of component sequences from twin-prime sequences pairs or GMW sequences pairs given by Tang and Ding in 2010; or two, three or four binary sequences defined by cyclotomic classes of order 4. Hence we can obtain new classes of quaternary sequences, which are different from known ones, since known component sequences are constructed from a pair of binary sequences with optimal auto-correlation or Sidel’nikov sequences.
具有最佳自相关值/幅度的二元序列的新构造
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