The first example of a simple $2-(81,6,2)$ design
Combinatorics
2023-07-19 v1
Abstract
We give the very first example of a simple design. Its points are the elements of the elementary abelian group of order 81 and each block is the union of two parallel lines of the 4-dimensional geometry over the field of order 3. Hence it is also additive.
Keywords
Cite
@article{arxiv.2307.08784,
title = {The first example of a simple $2-(81,6,2)$ design},
author = {Anamari Nakic},
journal= {arXiv preprint arXiv:2307.08784},
year = {2023}
}