A Generalization of Combinatorial Designs Related to Almost Difference Sets
Combinatorics
2015-05-19 v1
Abstract
In this paper we study a certain generalization of combinatorial designs related to almost difference sets, namely the -adesign, which was coined by Cunsheng Ding in 2015. It is clear that -adesigns are a kind of partially balanced incomplete block design which naturally arise in many combinatorial and statistical problems. We discuss some of their basic properties and give several constructions of -adesigns (some of which correspond to new almost difference sets, and others of which correspond to new almost difference families), as well as two constructions of -adesigns. We also discuss some basic properties of their incidence matrices and codes.
Keywords
Cite
@article{arxiv.1505.04611,
title = {A Generalization of Combinatorial Designs Related to Almost Difference Sets},
author = {Jerod Michel and Baokun Ding},
journal= {arXiv preprint arXiv:1505.04611},
year = {2015}
}