Another Simple Proof for the Existence of the Small Witt Design
Hans Havlicek, Hanfried Lenz
TL;DR
This paper presents a concise proof for the existence of the small Witt design, utilizing the structure of a projective plane of order three with one point removed, simplifying previous approaches.
Contribution
It offers a new, streamlined proof for the small Witt design's existence based on a modified projective plane, enhancing understanding of its combinatorial structure.
Findings
Proof confirms the existence of the small Witt design.
Utilizes projective plane of order three with one point removed.
Simplifies previous proofs of the design's existence.
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.
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Taxonomy
Topicsgraph theory and CDMA systems · Quasicrystal Structures and Properties · Coding theory and cryptography