Year: 2024
Type: preprint
Abstract: In this paper new Steiner systems $S(2,6,121)$, $S(2,6,126)$, $S(2,7,169)$ are introduced. Also some non-existence results for line lengths $7..11$ are presented. There is no solid proof that presented algorithm is exhaustive or correct, but it produces same results on already known difference families for line lengths $3..6$. Due to calculation-based approach this paper probably won't be published, but will be submitted to arxiv as it contains some new results
Source: arXiv (Cornell University)
Author: Hetman, Ivan
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4390962863