Some Classes of Invertible Matrices in GF(2)

James S. Plank and Adam L. Buchsbaum.

August 16, 2007

Technical Report UT-CS-07-599
Department of Electrical Engineering and Computer Science
University of Tennessee
Knoxville, TN 37996

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Invertible matrices in GF(2) are important for constructing MDS erasure codes. This paper proves that certain classes of matrices in GF(2) are invertible, plus some additional properties about invertible matrices.

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