论文标题

基于帕克的转换的OACF保护操作的注释

A note on an OACF-preserving operation based on Parker's Transformation

论文作者

Wang, Geyang, Wang, Qi

论文摘要

低奇数相关幅度的二进制序列在通信系统中发现了重要的应用。众所周知,Nega-cyclic Shift和Negation保留了奇数周期性的自相关函数(OACF)的值。在本文中,我们根据Parker的转换定义了一个新操作,该操作还保留了二进制序列的OACF值。这使我们能够将Parker的16个案例分为8个案例,并可能进一步允许根据Parker的转型对所有结构进行分类。

Binary sequences with low odd-periodic correlation magnitudes have found important applications in communication systems. It is well known that the nega-cyclic shift and negation preserve the odd-periodic autocorrelation function (OACF) values in general. In this paper, we define a new operation based on Parker's transformation, which also preserves the OACF values of binary sequences. This enables us to classify Parker's 16 cases into 8 ones, and may possibly further allow to classify all constructions based on Parker's transformation.

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