Binary Sequences With Three-Valued Cross Correlations of Different Lengths

Binary Sequences With Three-Valued Cross Correlations of Different Lengths
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具有不同长度的三值互相关的二进制序列

DOI:
10.1109/tit.2016.2620432
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发表时间:
2015-03
影响因子:
2.5
通讯作者:
Jinquan Luo
Jinquan Luo
中科院分区:
计算机科学2区
文献类型:
--
作者:
Jinquan Luo

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In general, it is hard to find the cross correlation distribution between two sequences. In particular, there are only few cases that the cross correlation is three-valued. In this paper, new pairs of binary sequences with three cross correlation values are presented. These two sequences have different lengths: 22k - 1 and 3(2k - 1), respectively. We determine the cross correlation distribution between these two sequences. We also give the possible correlation values for the shift decimated sequences. The magnitude of cross correlation values is shown to be low. The techniques presented in this paper may be useful to handle other similar cases.
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