There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$

Ivan Hetman

There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$

Ivan Hetman

Abstract

In this note six Steiner systems $S(2,8,225)$ and four Steiner systems $S(2,9,289)$ are presented. This resolves two of $129$ undecided cases for block designs with block length $8$ and $9$, mentioned in Handbook of Combinatorial Designs.

There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$

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.

There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$

Abstract

There exist Steiner systems $S(2,8,225)$ and $S(2,9,289)$

Abstract

Paper Structure

Table of Contents

Theorems & Definitions (1)