On $q$-analog Steiner systems of rank metric codes
Combinatorics
2017-09-05 v1
Abstract
In this paper we prove that rank metric codes with special properties imply the existence of -analogs of suitable designs. More precisely, we show that the minimum weight vectors of a dually almost MRD code which has no code words of rank weight form a -analog Steiner system . In particular, must be a prime.
Keywords
Cite
@article{arxiv.1709.00598,
title = {On $q$-analog Steiner systems of rank metric codes},
author = {F. Arias and J. de la Cruz and J. Rosenthal and W. Willems},
journal= {arXiv preprint arXiv:1709.00598},
year = {2017}
}