Kakeya-type sets in finite vector spaces

For a finite vector space V and a nonnegative integer r≤dim V, we estimate the smallest possible size of a subset of V, containing a translate of every r-dimensional subspace. In particular, we show that if K⊆V is the smallest subset with this property, n denotes the dimension of V, and q is the siz...

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Bibliographic Details
Main Authors: Saraf, Shubhangi, Kopparty, Swastik, Sudan, Madhu, Lev, Vsevolod F.
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Springer-Verlag 2012
Online Access:http://hdl.handle.net/1721.1/73493

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