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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Abstract

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.

Citation Information

Plain Text:

      .techreport     pb:07:sci 
      author          J. S. Plank and A. L. Buchsbaum 
      title           Some Classes of Invertible Matrices in {$GF(2)$}
      institution     University of Tennessee
      month           August
      year            2007
      number          CS-07-599
      where           http://web.eecs.utk.edu/~jplank/plank/papers/CS-07-599.html

Bibtex:

@TECHREPORT{pb:07:sci,
        author = "J. S. Plank and A. L. Buchsbaum",
        title = "Some Classes of Invertible Matrices in {$GF(2)$}",
        institution = "University of Tennessee",
        month = "August",
        year = "2007",
        number = "CS-07-599",
        where = "http://web.eecs.utk.edu/~jplank/plank/papers/CS-07-599.html"
}