Generalized vector space partitions

Titelangaben

Heinlein, Daniel ; Honold, Thomas ; Kiermaier, Michael ; Kurz, Sascha:
Generalized vector space partitions.
In: The Australasian Journal of Combinatorics. Bd. 73 (2019) Heft 1 . - S. 162-178.
ISSN 1034-4942

Volltext

Link zum Volltext (externe URL):

Weitere URLs

Abstract

A vector space partition P in GF(q)^v is a set of subspaces such that every 1-dimensional subspace of GF(q)^v is contained in exactly one element of P. Replacing "1-dimensional" by "t-dimensional", we generalize this notion to vector space t-partitions and study their properties. There is a close connection to subspace codes and some problems are even interesting and unsolved for the set case q=1.