A Parity-Check Spectral R-Code

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.