Error Correction in Residue Arithmetic
IEEE Transactions on Computers
Finite Field Fault-Tolerant Digital Filtering Architectures
IEEE Transactions on Computers
Fault-Tolerant Computing: An Introduction and a Viewpoint
IEEE Transactions on Computers
The Design of Error Checkers for Self-Checking Residue Number Arithmetic
IEEE Transactions on Computers
Single Residue Error Correction in Residue Number Systems
IEEE Transactions on Computers
A Note on Fast Base Extension for Residue Number Systems with Three Moduli
IEEE Transactions on Computers
Arithmetic Codes in Residue Number Systems with Magnitude Index
IEEE Transactions on Computers
Reliable And Secure Chip Level Communication By Residue Number System Code
Journal of Integrated Design & Process Science
Digital/analog arithmetic with continuous-valued residues
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Redundant Residue Number System Code for Fault-Tolerant Hybrid Memories
ACM Journal on Emerging Technologies in Computing Systems (JETC)
A fault-tolerant permutation network modulo arithmetic processor
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Hi-index | 15.00 |
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.