Single error correcting and multiple unidirectional error detecting cyclic an arithmetic codes

We present cyclic AN arithmetic codes capable of single error correction and multiple unidirectional error detection. These codes can be used throughout a fault-tolerant computer, and they eliminate the need for encoding/decoding circuits and code translation circuits. We use criteria for the determination of the unidirectional error detection capability for a given AN code, and we present a new error correction/detection scheme.