Issue No.12 - December (1988 vol.37)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/12.9736
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.
C.J. Anfinson, "A Linear Algebraic Model of Algorithm-Based Fault Tolerance", IEEE Transactions on Computers, vol.37, no. 12, pp. 1599-1604, December 1988, doi:10.1109/12.9736