Olof Heden

most citedSome necessary conditions for vector space partitions

5 citations · 5 across the 3 of their papers we have counts for

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2011

Extremal sizes of subspace partitions

Olof Heden, Juliane Lehmann, Esmeralda Nastase +1

A subspace partition $Π$ of $V = V (n, q)$ is a collection of subspaces of $V$ such that each 1-dimensional subspace of $V$ is in exactly one subspace of $Π$ . The size of $Π$ is the nu…

math.CO2011

A survey of the different types of vector space partitions

Olof Heden

A {\it vector space partition} is here a collection $P$ of subspaces of a finite vector space $V (n, q)$ , of dimension $n$ over a finite field with $q$ elements, with the pr…

math.CO2011

On the existence of a (2,3)-spread in V(7,2)

Olof Heden, Papa A. Sissokho

An $(s, t)$ -spread in a finite vector space $V = V (n, q)$ is a collection $F$ of $t$ -dimensional subspaces of $V$ with the property that every $s$ -dimensional subspace of $V$ …

math.CO2011★ 5 cited

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…