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Partitions of the 8...
Partitions of the 8-Dimensional Vector Space Over GF(2)
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El-Zanati, S. (author)
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- Heden, Olof (author)
- KTH,Matematik (Avd.)
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Seelinger, G. (author)
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Sissokho, P. (author)
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Spence, L. (author)
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Vanden Eynden, C. (author)
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KTH Matematik (Avd) (creator_code:org_t)
- 2010-10-28
- 2010
- English.
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In: Journal of combinatorial designs (Print). - : Wiley. - 1063-8539 .- 1520-6610. ; 18:6, s. 462-474
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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).
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Vector space partition
- MATHEMATICS
- MATEMATIK
Publication and Content Type
- ref (subject category)
- art (subject category)
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