Titelangaben
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
,
2017
. - 17 S.
Volltext
![]() |
PDF
fano_paper_333_arxiv.pdf - Veröffentlichte Version Available under License Creative Commons BY 4.0: Namensnennung . Download (363kB) |
Angaben zu Projekten
Projekttitel: |
|
||||
---|---|---|---|---|---|
Projektfinanzierung: |
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.