New classes of unidirectional error-detecting codes

Unidirectional errors arise as a result of common VLSI failure modes and certain connection faults, particularly with serial data transmission. A totally ordered set of symbols to be encoded in an order-preserving manner for unidirectional error detection is considered. General order-preserving encoding and the special case of difference-preserving encoding, (when the value nu is encoded with its separate data part representing nu +b to facilitate arithmetic operations) are considered and optimal codes are devised for each case.<
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