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On the type(s) of minimum size subspace partitions

Heden, Olof (author)
KTH,Matematik (Avd.)
Lehmann, J. (author)
Nastase, E. (author)
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Sissokho, P. (author)
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KTH Matematik (Avd(creator_code:org_t)
Elsevier BV, 2014
2014
English.
In: Discrete Mathematics. - : Elsevier BV. - 0012-365X .- 1872-681X. ; 332, s. 1-9
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • Let V = V(kt + r, q) be a vector space of dimension kt + r over the finite field with q elements. Let sigma(q)(kt + r, t) denote the minimum size of a subspace partition P of V in which t is the largest dimension of a subspace. We denote by n(di) the number of subspaces of dimension d(i) that occur in P and we say [d(1)(nd1),..., d(m)(ndm)] is the type of P. In this paper, we show that a partition of minimum size has a unique partition type if t + r is an even integer. We also consider the case when t + r is an odd integer, but only give partial results since this case is indeed more intricate.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Vector space partitions

Publication and Content Type

ref (subject category)
art (subject category)

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Heden, Olof
Lehmann, J.
Nastase, E.
Sissokho, P.
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NATURAL SCIENCES
NATURAL SCIENCES
and Mathematics
Articles in the publication
Discrete Mathema ...
By the university
Royal Institute of Technology

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