A Parity-Check Spectral R-Code


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Abstract

This article introduces a parity-check code based on the Rademacher function. The error-correction model of the code corresponds to a binary symmetrical channel: bits may be inverted randomly and independently, but no bit insertion/bit omission occurs. The code corrects a single error; its redundancy and coding/decoding features are virtually identical with those of the Hamming code, but it has clear advantages for application of redundant coding in fault-tolerant integrated-circuit design.

About the authors

S. I. Gurov

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Author for correspondence.
Email: sgur@cs.msu.ru
Russian Federation, Moscow

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