## Title data

Kohnert, Axel ; Wassermann, Alfred:

**Construction of binary and ternary self-orthogonal linear codes.**

*In:* Discrete Applied Mathematics.
Vol. 157
(2009)
Issue 9
.
- pp. 2118-2123.

ISSN 1872-6771

DOI: https://doi.org/10.1016/j.dam.2007.10.030

Review: |

## Abstract in another language

We construct new binary and ternary self-orthogonal linear codes. In order to do this we use an equivalence between the

existence of a self-orthogonal linear code with a prescribed minimum distance and the existence of a solution of a certain system of Diophantine linear equations. To reduce the size of the system of equations we restrict the search for solutions to solutions with special symmetry given by matrix groups. Using this method we found at least six new distance-optimal codes, which are all self-orthogonal.