New Binary Sequences With Optimal Autocorrelation Magnitude

Nam Yul Yu; Guang Gong

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New Binary Sequences With Optimal Autocorrelation Magnitude

机译：具有最佳自相关幅度的新二元序列

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摘要

New binary sequences of period N = 4(2m - 1) for even m ges 4 are found, where the sequences are described by a 4 X (2m - 1) array structure. The new sequences are almost balanced and have four- valued autocorrelation, i.e., {N, 0, plusmn4}, which is optimal with respect to autocorrelation magnitude. The complete autocorrelation distribution and the exact linear complexity of the sequences are mathematically derived. Finally, it is shown that the sequences are implemented by a combination of linear feedback shift registers and a simple logic.

机译：找到了偶数为4的周期N = 4（2 m -1）的新二进制序列，其中该序列用4 X（2 m -1 ）数组结构。新序列几乎平衡并且具有四值自相关，即{N，0，plusmn4}，这对于自相关幅度而言是最佳的。数学上可以得出序列的完整自相关分布和精确的线性复杂度。最后，示出了通过线性反馈移位寄存器和简单逻辑的组合来实现序列。

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来源
《IEEE Transactions on Information Theory》 |2008年第10期|4771-4779|共9页
作者
Nam Yul Yu; Guang Gong;
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作者单位

Dept. of Electr. Eng., Lakehead Univ., Thunder Bay, ON;

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原文格式 PDF
正文语种 eng
中图分类
关键词
binary sequences; correlation methods; feedback shift registers; linear complexity; optimal autocorrelation magnitude; interleaved sequences; optimal autocorrelation;

机译：二进制序列;相关方法;反馈移位寄存器;线性复杂度;最优自相关幅度;交织序列;最优自相关;

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机译：2 - adic复杂性与时期4N的二进制序列的两个结构和最佳自相关幅度
2. Two constructions of binary sequences with optimal autocorrelation magnitude [J] . E. I. Krengel, P. V. Ivanov Electronics Letters . 2016,第17期

机译：自相关幅度最优的二进制序列的两种构造
3. On the Linear Complexity of Binary Sequences of Period $4N$ With Optimal Autocorrelation Value/Magnitude [J] . Li N., Tang X. Information Theory, IEEE Transactions on . 2011,第11期

机译：具有最佳自相关值/幅值的周期$ 4N $的二元序列的线性复杂度
4. On the 2-Adic Complexity of A Class of Binary Sequences of Period 4p with Optimal Autocorrelation Magnitude [C] . Minghui Yang, Lulu Zhang, Keqin Feng IEEE International Symposium on Information Theory . 2020

机译：具有最佳自相关幅度的周期4p的二元序列的2-Adic复杂度
5. Symmetric designs, difference sets, and autocorrelations of finite binary sequences [D] . Broughton, Wayne Jeremy 1995

机译：有限二进制序列的对称设计，差分集和自相关
6. Optimality and some of its discontents: Successes and shortcomings of existing models for binary decisions [O] . P. Holmes, J.D. Cohen -1

机译：最优性及其一些不满：二元决策现有模型的成功与不足
7. On the 2-Adic Complexity of A Class of Binary Sequences of Period 4p with Optimal Autocorrelation Magnitude [O] . Minghui Yang, Lulu Zhang, Keqin Feng 2020

机译：以最优自相关幅度的一类时间4P类二进制序列的2 - ADIC复杂性
8. Binary Sequences with Autocorrelations and Cross Correlations in a Prescribed Range [R] . Edberg, E. 1982

机译：在规定范围内具有自相关和互相关的二进制序列

New Binary Sequences With Optimal Autocorrelation Magnitude

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