There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$
Combinatorics
2026-03-27 v4
Abstract
In this note six Steiner systems and four Steiner systems are presented. This resolves two of undecided cases for block designs with block length and , mentioned in Handbook of Combinatorial Designs.
Cite
@article{arxiv.2509.10673,
title = {There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$},
author = {Ivan Hetman},
journal= {arXiv preprint arXiv:2509.10673},
year = {2026}
}