15 citations · 20 across the 4 of their papers we have counts for
5 papers
Extremal sizes of subspace partitions
Olof Heden, Juliane Lehmann, Esmeralda Nastase +1
A subspace partition of is a collection of subspaces of such that each 1-dimensional subspace of is in exactly one subspace of . The size of is the nu…
A survey of the different types of vector space partitions
Olof Heden
A {\it vector space partition} is here a collection of subspaces of a finite vector space , of dimension over a finite field with elements, with the pr…
On the existence of a (2,3)-spread in V(7,2)
Olof Heden, Papa A. Sissokho
An -spread in a finite vector space is a collection of -dimensional subspaces of with the property that every -dimensional subspace of …
Some necessary conditions for vector space partitions
Olof Heden, Juliane Lehmann
Some new necessary conditions for the existence of vector space partitions are derived. They are applied to the problem of finding the maximum number of spaces of dimension t in a…
On the structure of non-full-rank perfect codes
Denis Krotov, Olof Heden
The Krotov combining construction of perfect 1-error-correcting binary codes from 2000 and a theorem of Heden saying that every non-full-rank perfect 1-error-correcting binary code…