An Algorithm for constructing Hjelmslev planes
Combinatorics
2015-11-05 v2
Abstract
Projective Hjelmslev planes and Affine Hjelmselv planes are generalisations of projective planes and affine planes. We present an algorithm for constructing a projective Hjelmslev planes and affine Hjelsmelv planes using projective planes, affine planes and orthogonal arrays. We show that all 2-uniform projective Hjelmslev planes, and all 2-uniform affine Hjelsmelv planes can be constructed in this way. As a corollary it is shown that all 2-uniform Affine Hjelmselv planes are sub-geometries of 2-uniform projective Hjelmselv planes.
Cite
@article{arxiv.1302.4502,
title = {An Algorithm for constructing Hjelmslev planes},
author = {Joanne L. Hall and Asha Rao},
journal= {arXiv preprint arXiv:1302.4502},
year = {2015}
}
Comments
15 pages. Algebraic Design Theory and Hadamard matrices, 2014, Springer Proceedings in Mathematics & Statistics 133