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Upper bounds for partial spreads

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arxiv 1606.08581 v3 pith:PZUCXZUP submitted 2016-06-28 math.CO

classification math.CO
keywords boundspartialuppercollectioncovereddimensionalimprovedintersection
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abstract

A partial $t$-spread in $\mathbb{F}_q^n$ is a collection of $t$-dimensional subspaces with trivial intersection such that each non-zero vector is covered at most once. We present some improved upper bounds on the maximum sizes.

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