Enumeration of Optimal and Good Cauchy Matrices for ... - UTK-EECS
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Enumeration of Optimal and Good Cauchy Matrices for ... - UTK-EECS
Enumeration of Optimal and Good Cauchy Matrices for ReedSolomon Coding James S. Plank December 8, 2005 Technical Report UT-CS-05-570 Department of Computer Science University of Tennessee Knoxville, TN 37996 http://www.cs.utk.edu/~plank/plank/papers/CS-05-570.html This technical report is meant as a companion for Technical Report CS-05-569: ``Optimizing Cauchy ReedSolomon Codes for Fault-Tolerant Storage Applications'', by James S. Plank. That paper details optimal and "good" (GC) Cauchy matrices for Reed-Solomon coding. In this report, we enumerate all the matrices employed in that paper. This paper is not meant for printing, but instead for online perusal and search. The categories listed are: Optimal Cauchy Matrices for w = 2, 3, 4, and 5 GC Matrices for m=2 GC Matrices for m=3 GC Matrices for m=4 GC Matrices for m=5 GC Matrices for m=n GC Matrices for 2m=n GC Matrices for 4m=n GC Matrices for w=2 GC Matrices for w=3 GC Matrices for w=4 GC Matrices for w=5 The primitive polynomials used for the Galois Fields are specified in octal below: w= w= w= w= w= w= w= w= w=
