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A Linear Algebraic Model of Algorithm-Based Fault Tolerance
December 1988 (vol. 37 no. 12)
pp. 1599-1604
A linear algebraic interpretation is developed for previously proposed algorithm-based fault tolerance schemes. The concepts of distance, code space, and the definitions of detection and correction in the vector space R/sup n/ are explained. The number of errors that can be detected or corrected for a distance-(d+1) code is derived. It is shown why the correction scheme does not work for genera

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Index Terms:
algorithm based; linear algebraic model; fault tolerance; distance; code space; detection; correction; vector space; correction scheme; error correction; fault tolerant computing.
C.J. Anfinson, F.T. Luk, "A Linear Algebraic Model of Algorithm-Based Fault Tolerance," IEEE Transactions on Computers, vol. 37, no. 12, pp. 1599-1604, Dec. 1988, doi:10.1109/12.9736
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