An algorithm for constructing Hjelmslev planes

Hall, J and Rao, A 2015, 'An algorithm for constructing Hjelmslev planes' in Chalres J. Colbourn (ed.) Algebraic Design Theory and Hadamard Matrices, Springer, Switzerland, pp. 137-148.


Document type: Book Chapter
Collection: Book Chapters

Title An algorithm for constructing Hjelmslev planes
Author(s) Hall, J
Rao, A
Year 2015
Title of book Algebraic Design Theory and Hadamard Matrices
Publisher Springer
Place of publication Switzerland
Editor(s) Chalres J. Colbourn
Start page 137
End page 148
Subjects Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Summary Projeclive Hjelmslev planes and affine Hjclmslev planes are generalisations of projective planes and affine planes. We present an algorithm for constructing projeclive Hjelmslev planes and affine Hjelmslev planes that uses projective planes, affi ne planes and orthogonal arrays. \Ve 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-unifonn affine Hjelmslev planes arc sub-geometrics of 2-uniform projective Hjclmslcv planes.
Copyright notice © Springer International Publishing Switzerland 2015
Keyword(s) Projective Hjemslev planes • Affine Hjelmslev planes • 2-uniform • algorithm
DOI - identifier 10.1007/978-3-319-17729-8
ISBN 9783319177298
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