Fooling-sets and rank

An n x n matrixM is called a fooling-set matrix of size n if its diagonal entries are nonzero and Mk,l; Ml,k = 0 for every k ≠ l. Dietzfelbinger, Hromkovič, and Schnitger (1996) showed that n ≤ (rkM)2, regardless of over which field the rank is computed, and asked whether the exponent on rkM can be...

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Bibliographic Details
Main Authors: Friesen, Mirjam, Hamed, Aya, Lee, Troy, Oliver Theis, Dirk
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/107304
http://hdl.handle.net/10220/25431