Coding Theory and Performance Of Redundant Residue Number System Codes

Lie-Liang Yang and Lajos Hanzo

School of Electronics and Computer Science,
University of Southampton, SO17 1BJ, UK.
Tel: +44 (0)23 8059 3364, Fax: +44 (0)23 8059 3045
Email: lly@ecs.soton.ac.uk

Abstract:

In this contribution nonlinear coding theory is invoked in order to study redundant residue number system (RRNS) based channel codes. We analyse some unsolved problems of RRNS codes, exploring their weight-distribution, distance-distribution and coding performance. The conventional algorithms used for error-detection and error-correction in RRNS codes are improved and unified in the context of a `minimum-distance decoding' algorithm, which can efficiently detect or correct multiple residue digit errors. Systematic RRNS codes are designed and their coding theory as well as performance is studied.

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