Simple t-designs: A recursive construction for arbitrary t
Combinatorics
2016-02-23 v1
Abstract
The aim of this paper is to present a recursive construction of simple t-designs for arbitrary t. The construction is of purely combinatorial nature and it requires finding solutions for the indices of the ingredient designs that satisfy a certain set of equalities. We give a small number of examples to illustrate the construction, whereby we have found a large number of new t-designs, which were previously unknown. This indicates that the method is useful and powerful.
Keywords
Cite
@article{arxiv.1602.06751,
title = {Simple t-designs: A recursive construction for arbitrary t},
author = {Tran van Trung},
journal= {arXiv preprint arXiv:1602.06751},
year = {2016}
}
Comments
12 pages