Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

A Model of the Witt Design $W_{12}$ based on Quadrics of PG(2,3)

Hans Havlicek

TL;DR

An elementary geometric proof for the existence of Witt's 5-(12,6,1) design is given.

Abstract

An elementary geometric proof for the existence of Witt's 5-(12,6,1) design is given.

A Model of the Witt Design $W_{12}$ based on Quadrics of PG(2,3)

TL;DR

An elementary geometric proof for the existence of Witt's 5-(12,6,1) design is given.

Abstract

An elementary geometric proof for the existence of Witt's 5-(12,6,1) design is given.

Paper Structure

This paper contains 2 sections, 1 theorem, 8 equations.

Table of Contents

  1. Introduction
  2. A planar model of $W_{12}$

Key Result

Theorem 1

The incidence structure $({\cal W},{\cal B},\in)$ described in Definition planar-bloecke is a $5$--$(12,6,1)$ design.

Theorems & Definitions (4)

  • Definition 1
  • Theorem 1
  • Remark 1
  • Remark 2