New optimal binary sequences with period 4p via interleaving Ding-Helleseth-Lam sequences
New optimal binary sequences with period 4p via interleaving Ding-Helleseth-Lam sequences
复制标题
通过交错 Ding-Helleseth-Lam 序列获得周期为 4p 的新最优二进制序列
DOI：
10.1007/s10623-017-0398-5
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发表时间：
--
影响因子：
1.6
通讯作者：
Cuiling Fan
中科院分区：
文献类型：
--
作者：
Wei Su;Yang Yang;Cuiling Fan
二进制序列在雷达、通信和密码学中起着重要的作用。寻找具有最优自相关值/幅度的二值序列一直是序列设计中一个有趣的研究课题。Ding-Helleseth-Lam序列是一类周期为p的二元序列，它是一个奇素数。本文的目的是通过将四个合适的Ding-Helleseth-Lam序列交织在一起，构造周期为4pv的二值序列。这种构造产生了新的二值序列，具有最优的自相关幅度，这是以前的二值序列所不能产生的。
Binary sequences play important roles in radar, communication, and cryptography. Finding new binary sequences with optimal autocorrelation value/magnitude has been an interesting research topic in sequence design. Ding–Helleseth–Lam sequences are such a class of binary sequences of periodp, wherepis an odd prime with. The objective of this paper is to present a construction of binary sequences of period 4pvia interleaving four suitable Ding–Helleseth–Lam sequences. This construction generates new binary sequences with optimal autocorrelation magnitude, which can not be produced by earlier ones.