Towards Dimension Expanders over Finite Fields

In this paper we study the problem of explicitly constructing a dimension expander raised by [BISW04]: Let Fn be the n dimensional linear space over the field F. Find a small (ideally constant) set of linear transformations from Fn to itself {Ai}iI such that for every linear subspace V Fn of dimension dim(V ) < n/2 we have dim iI Ai(V ) (1 + )

• Type: Conference
• Year: 2008
• Where: COCO
• Authors: Zeev Dvir, Amir Shpilka
• Keywords: Algorithms, COCO 2008, Dimension, Dimension Expander, Dimensional Linear Space