Author:
Caliskan Cafer,Moorhouse G. Eric
Abstract
In this study we show the existence of subplanes of order $3$ in Hughes planes of order $q^2$, where $q$ is a prime power and $q \equiv 5 \ (mod \ 6)$. We further show that there exist finite partial linear spaces which cannot embed in any Hughes plane.
Publisher
The Electronic Journal of Combinatorics
Subject
Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics
Cited by
4 articles.
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1. On Pappus configurations in Hall planes;Designs, Codes and Cryptography;2022-04-02
2. Cryptography;Handbook of Finite Fields;2013-06-17
3. Subplanes of order 3 in Figueroa planes;Finite Fields and Their Applications;2013-03
4. Fano subplanes in finite Figueroa planes;Journal of Geometry;2010-12