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  • El-Zanati, S., et al. (author)
  • Partitions of the 8-Dimensional Vector Space Over GF(2)
  • 2010
  • In: Journal of combinatorial designs (Print). - : Wiley. - 1063-8539 .- 1520-6610. ; 18:6, s. 462-474
  • Journal article (peer-reviewed)abstract
    • Let V=V(n,q) denote the vector space of dimension n over GF(q). A set of subspaces of V is called a partition of V if every nonzero vector in V is contained in exactly one subspace of V. Given a. partition P of V with exactly a(i) subspaces of dimension i for 1 <= i <= n, we have Sigma(n)(i=1) a(i)(q(i)-1) = q(n)-1, and we call the n-tuple (a(n), a(n-1), ..., a(1)) the type of P. In this article we identify all 8-tuples (a(8), a(7), ..., a(2), 0) that are the types of partitions of V(8,2).
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Heden, Olof (1)
El-Zanati, S. (1)
Seelinger, G. (1)
Sissokho, P. (1)
Spence, L. (1)
Vanden Eynden, C. (1)
University
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2010 (1)

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