English

Steiner systems $S(2,6,226)$ and $S(2,6,441)$ exist

Combinatorics 2026-05-20 v3

Abstract

Via computer search, we found seven non-isomorphic 11-rotational Steiner systems S(2,6,226)S(2,6,226) and six point-transitive Steiner systems S(2,6,441)S(2,6,441), resolving two of 2929 previously undecided cases for S(2,6,v)S(2,6,v).

Cite

@article{arxiv.2511.05191,
  title  = {Steiner systems $S(2,6,226)$ and $S(2,6,441)$ exist},
  author = {Taras Banakh and Ivan Hetman and Alex Ravsky},
  journal= {arXiv preprint arXiv:2511.05191},
  year   = {2026}
}

Comments

6 pages

R2 v1 2026-07-01T07:26:02.487Z