Title data
Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
A subspace code of size 333 in the setting of a binary q-analog of the Fano plane.
Bayreuth
,
2018
. - 18 S.
|
|||||||||
Download (396kB)
|
Project information
Project title: |
Project's official title Project's id Ganzzahlige Optimierungsmodelle für Subspace Codes und endliche Geometrie No information |
---|---|
Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract
We show that there is a binary subspace code of constant dimension 3 in ambient dimension 7, having minimum distance 4 and cardinality 333,, which improves the previous best known lower bound of 329. Moreover, if a code with these parameters has at least 333 elements, its automorphism group is in 31 conjugacy classes. This is achieved by a more general technique for an exhaustive search in a finite group that does not depend on the enumeration of all subgroups.
Further data
Available Versions of this Item
-
A subspace code of size 333 in the setting of a binary q-analog of the Fano plane. (deposited 28 Aug 2017 05:31)
- A subspace code of size 333 in the setting of a binary q-analog of the Fano plane. (deposited 03 May 2018 06:50) [Currently Displayed]