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New encoding/decoding methods for designing fault-tolerant matrix operations

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3 Author(s)
Tao, D.L. ; Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA ; Hartmann, C.R.P. ; Han, Y.S.

Algorithm-based fault tolerance (ABFT) can provide a low-cost error protection for array processors and multiprocessor systems. Several ABFT techniques (weighted check-sum) have been proposed to design fault-tolerant matrix operations. In these schemes, encoding/decoding uses either multiplications or divisions so that overhead is high. In this paper, new encoding/decoding methods are proposed for designing fault-tolerant matrix operations. The unique feature of these new methods is that only additions and subtractions are used in encoding/decoding. In this paper, new algorithms are proposed to construct error detecting/correcting codes with the minimum Hamming distance 3 and 4. We will show that the overhead introduced due to the incorporation of fault tolerance is drastically reduced by using these new coding schemes

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:7 ,  Issue: 9 )