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Issue No. 12 - December (1988 vol. 37)
ISSN: 0018-9340
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
algorithm based; linear algebraic model; fault tolerance; distance; code space; detection; correction; vector space; correction scheme; error correction; fault tolerant computing.

F. Luk and C. Anfinson, "A Linear Algebraic Model of Algorithm-Based Fault Tolerance," in IEEE Transactions on Computers, vol. 37, no. , pp. 1599-1604, 1988.
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