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Error Correcting Properties of Redundant Residue Number Systems
March 1973 (vol. 22 no. 3)
pp. 307-315
F. Barsi, Istituto di Elaborazione dell'Informazione, Consiglio Nazionale delle Ricerche
The error correcting properties of the redundant residue number systems (RNS) are investigated through a more natural a approach than was previously known. The necessary and sufficient condition for the correction of a given error affecting a single residue digit of any legitimate number in an RRNS is determined. The minimal redundancy allowing the correction of the whole class of the single residue digit errors is derived and an efficienit procedure for error correction is given. Moreover, it is shown that a smaller redundancy and a single redundant modulus may allow the correction of certain important subclasses of single residue digit errors, e.g., the set of errors affecting a single bit in the code. Examples are given.
Index Terms:
Arithmetic error codes, error detection and correction, residue arithmetic, residue codes, residue number systems.
Citation:
F. Barsi, P. Maestrini, "Error Correcting Properties of Redundant Residue Number Systems," IEEE Transactions on Computers, vol. 22, no. 3, pp. 307-315, March 1973, doi:10.1109/T-C.1973.223711
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