An algorithm for constructing Hjelmslev planes

Hall, Joanne L. & Rao, Asha (2015) An algorithm for constructing Hjelmslev planes. In Colbourn, Charles (Ed.) Algebraic Design Theory and Hadamard Matrices. Springer, Switzerland, pp. 137-147.

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Abstract

Projective Hjelmslev planes and affine Hjelmslev planes are generalisations of projective planes and affine planes. We present an algorithm for constructing projective Hjelmslev planes and affine Hjelmslev planes that uses projective planes, affine planes and orthogonal arrays. We show that all 2-uniform projective Hjelmslev planes, and all 2-uniform affine Hjelmslev planes can be constructed in this way. As a corollary it is shown that all $2$-uniform affine Hjelmslev planes are sub-geometries of $2$-uniform projective Hjelmslev planes.

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ID Code: 87676
Item Type: Book Chapter
Additional Information: In proceedings of ADTHM, Lethbridge, Alberta, Canada, July 2014
Additional URLs:
DOI: 10.1007/978-3-319-17729-8_11
ISBN: 9783319177281
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) (010104)
Divisions: Current > QUT Faculties and Divisions > Science & Engineering Faculty
Past > Schools > Mathematical Sciences
Copyright Owner: Copyright 2015 Springer
Copyright Statement:

This is the author-version of the work.

Conference proceedings published, by Springer Verlag, will be available via SpringerLink. http://www.springerlink.com

Deposited On: 23 Sep 2015 23:38
Last Modified: 08 Nov 2016 13:09

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