论文标题
如何使用非功率两次长度构建相互正交的互补集？
How to Construct Mutually Orthogonal Complementary Sets with Non-Power-of-Two Lengths?
论文作者
论文摘要
近年来，由于它们在通信和雷达中的广泛应用，近年来，相互正交的互补集（MOCS）受到了很大的研究关注。基于广义布尔函数（GBF）构建的现有MOCS主要具有两个长度。如何构建具有两次不合力长度的MOCS，而具有较大尺寸的MOCS在很大程度上是一个开放的问题。借助GBFS，在本文中，我们提出了这种MOCS的新结构，并表明最大可实现的设定尺寸为MOC的羊群大小的$ 1/2 $。
Mutually orthogonal complementary sets (MOCSs) have received significant research attention in recent years due to their wide applications in communications and radar. Existing MOCSs which are constructed based on generalized Boolean functions (GBFs) mostly have lengths of power-of-two. How to construct MOCSs with non-power-of-two lengths whilst having large set sizes is a largely open problem. With the aid of GBFs, in this paper, we present new constructions of such MOCSs and show that the maximal achievable set size is $1/2$ of the flock size of an MOCS.
