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ABSTRACT
<p><it>Abstract—</it>In the literature, $<tmath>m_{j}</tmath>$-projection has been applied for residue error detection and correction. This brief contribution extends the $<tmath>m_{j}</tmath>$-projection to $<tmath>k</tmath>$-term $<tmath>m_{j}</tmath>$-projection so that single residue error correction can be accomplished in an efficient manner. Based on $<tmath>k</tmath>$-term $<tmath>m_{j}</tmath>$-projection, the necessary and sufficient conditions for the correction of single residue digit error are derived and an efficient procedure for single error correction is given.</p><p><it>Index Terms—</it>Error detection and correction, residue number systems, residue arithmetic.</p>
INDEX TERMS
CITATION
Shuenn-Shyang Wang, Ming-Yuan Shau, "Single Residue Error Correction Based on K-Term mj-Projection", IEEE Transactions on Computers, vol. 44, no. , pp. 129-131, January 1995, doi:10.1109/12.368003