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22nd Cumberland Conference on Combinatorics, Graph Theory and Computing
May 21-23, 2009
Western Kentucky University
Bowling Green, KY, USA

Organizers
Bela Csaba, Chair; Mustafa Atici; Robert Crawford; Claus Ernst; Dominic Lanphier; Attila Por

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Maximum size partial 3-spread in a finite vector space over GF(2)
by
Papa Sissokho
Illinois State University
Coauthors: S. El-Zanati, H. Jordon, G. Seelinger, and L. Spence

Let V=V(n, q) be a vector space of dimension n over GF(q). A partial t-spread of V is a collection of t-dimensional subspaces of V such that the intersection of any two of them is trivial (i.e. {0}). The general problem of finding the maximum number of subspaces in any t-spread of V is open.

In this talk we discuss our recent result in which we settle the above problem for t=3 and q=2.

Date received: April 30, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cayq-51.