A Model of the Witt Design $W_{12}$ based on Quadrics of PG(2,3)
Hans Havlicek
TL;DR
This paper provides a straightforward geometric proof for the existence of Witt's 5-(12,6,1) design, utilizing properties of quadrics in projective geometry.
Contribution
It introduces an elementary geometric approach to prove the existence of the Witt design W12, offering new insights into its structure.
Findings
Elementary geometric proof established
Witt's 5-(12,6,1) design existence confirmed
Connection to quadrics in PG(2,3) clarified
Abstract
An elementary geometric proof for the existence of Witt's 5-(12,6,1) design is given.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · Advanced Algebra and Geometry