New arcs in projective Hjelmslev planes over Galois rings
Combinatorics
2015-03-11 v1
Abstract
It is known that some good linear codes over a finite ring (R-linear codes) arise from interesting point constellations in certain projective geometries. For example, the expurgated Nordstrom-Robinson code, a nonlinear binary [14,6,6]-code which has higher minimum distance than any linear binary [14,6]-code, can be constructed from a maximal 2-arc in the projective Hjelmslev plane over Z_4.
Cite
@article{arxiv.1503.02932,
title = {New arcs in projective Hjelmslev planes over Galois rings},
author = {Michael Kiermaier and Axel Kohnert},
journal= {arXiv preprint arXiv:1503.02932},
year = {2015}
}