| 一类周期为偶数的二元序列的自相关值 |
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| 引用本文： | 熊臻,岳勤.一类周期为偶数的二元序列的自相关值[J].计算机工程与科学,2018,40(9):1572-1578. |
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| 作者姓名： | 熊臻 岳勤 |
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| 作者单位： | (南京航空航天大学理学院,江苏 南京 211106) |
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| 基金项目： | 国家自然科学基金(61772015) |
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| 摘 要： | 设N为奇数,ZN为模N的剩余类环。 本文得到的主要结果有:（1）若D为ZN上N,N－12,N－34的差集,=ZN\D,{si}为以C1={0}×D∪{1}×为特征集的长度为2N的二元序列,则此序列的自相关值为4值,去掉两个特殊点,该序列最优。（2）若D为ZN上N,N－12,N－54,N－12的几乎差集,=ZN\D,{si}为以C1={0}×D∪{1}×为特征集的长度为2N的二元序列,则此序列的自相关值为6值。 最后,本文还给出了长度为 4N的周期序列的自相关值。
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| 关 键 词： | 差集 几乎差集 自相关函数 |
| 收稿时间： | 2017-01-14 |
| 修稿时间： | 2018-09-25 |
Autocorrelation values of
a binary sequences with even length |
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| XIONG Zhen,YUE Qin.Autocorrelation values of
a binary sequences with even length[J].Computer Engineering & Science,2018,40(9):1572-1578. |
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| Authors: | XIONG Zhen YUE Qin |
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| Affiliation: | (College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China）
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| Abstract: | Let N be the odd number and ZN be the residual class ring of modular N, the paper obtains the main results as follows:
(1) If D is a N,N－12,N－34 difference set over ZN, =ZN\D,the binary sequence {si} of length 2N with a characteristic set C1={0}×D∪{1}×,then its autocorrelation value is four valued.If two special points are removed,the sequence is optimal.
(2) If D is a N,N－12,N－54,N－12 almost difference set over ZN, =ZN\D,the binary sequence {si} of length 2N with a characteristic set C1={0}×D∪{1}×,then its autocorrelation value is six valued.Finally,this paper also gives the autocorrelation values of a sequence of periodic 4N. |
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| Keywords: | difference set almost difference set autocorrelation function |
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