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Another Simple Proof for the Existence of the Small Witt Design

Hans Havlicek, Hanfried Lenz

Abstract

We give a short proof for the existence of the small Witt design which is based on the projective plane of order three with one point deleted.

Another Simple Proof for the Existence of the Small Witt Design

Abstract

We give a short proof for the existence of the small Witt design which is based on the projective plane of order three with one point deleted.

Paper Structure

This paper contains 2 sections, 1 theorem, 2 equations.

Table of Contents

  1. Introduction
  2. Construction

Key Result

Theorem 1

The set ${\mathcal{W}}$, together with the set of all blocks, is a Steiner system $S(5,6,12)$.

Theorems & Definitions (1)

  • Theorem 1