How to construct mutually orthogonal complementary sets with non-power-of-two lengths?

SW Wu, CY Chen, Z Liu - IEEE Transactions on Information …, 2020 - ieeexplore.ieee.org
SW Wu, CY Chen, Z Liu
IEEE Transactions on Information Theory, 2020ieeexplore.ieee.org
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 …
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.
ieeexplore.ieee.org