The Geometry of Homogeneous Two-Weight Codes
Combinatorics
2014-01-30 v1
Abstract
The results of [1,2] on linear homogeneous two-weight codes over finite Frobenius rings are exended in two ways: It is shown that certain non-projective two-weight codes give rise to strongly regular graphs in the way described in [1,2]. Secondly, these codes are used to define a dual two-weight code and strongly regular graph similar to the classical case of projective linear two-weight codes over finite fields [3].
Cite
@article{arxiv.1401.7414,
title = {The Geometry of Homogeneous Two-Weight Codes},
author = {Thomas Honold},
journal= {arXiv preprint arXiv:1401.7414},
year = {2014}
}
Comments
10 pages, expanded version with proofs of "Further Results on Homogeneous Two-Weight Codes", which appeared in the Proceedings of the Fifth International Workshop on Optimal Codes and Related Topics (OC2007) and is also available as arXiv:1401.7135 [math.CO]