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The supertail of a subspace partition
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2013 (English)In: Designs, Codes and Cryptography, ISSN 0925-1022, E-ISSN 1573-7586, Vol. 69, no 3, 305-316 p.Article in journal (Refereed) Published
Abstract [en]

Let V = V(n, q) be a vector space of dimension n over the finite field with q elements, and let d (1) < d (2) < ... < d (m) be the dimensions that occur in a subspace partition of V. Let sigma (q) (n, t) denote the minimum size of a subspace partition of V, in which t is the largest dimension of a subspace. For any integer s, with 1 < s a parts per thousand currency sign m, the set of subspaces in of dimension less than d (s) is called the s-supertail of . The main result is that the number of spaces in an s-supertail is at least sigma (q) (d (s) , d (s-1)).

Place, publisher, year, edition, pages
2013. Vol. 69, no 3, 305-316 p.
Keyword [en]
Finite vector space, Subspace partitions
National Category
Mathematics Computer Science
Identifiers
URN: urn:nbn:se:kth:diva-129097DOI: 10.1007/s10623-012-9664-8ISI: 000323640100005Scopus ID: 2-s2.0-84883209552OAI: oai:DiVA.org:kth-129097DiVA: diva2:650250
Funder
Knut and Alice Wallenberg Foundation, KAW 2005.0098
Note

QC 20130920

Available from: 2013-09-20 Created: 2013-09-19 Last updated: 2017-12-06Bibliographically approved

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