How to Construct Mutually Orthogonal Complementary Sets with Non-Power-of-Two Lengths?
Information Theory
2020-03-17 v1 math.IT
Abstract
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 of the flock size of an MOCS.
Keywords
Cite
@article{arxiv.2003.06991,
title = {How to Construct Mutually Orthogonal Complementary Sets with Non-Power-of-Two Lengths?},
author = {Shing-Wei Wu and Chao-Yu Chen and Zilong Liu},
journal= {arXiv preprint arXiv:2003.06991},
year = {2020}
}
Comments
to be published in IEEE Transactions on Information Theory