Systematic t-Unidirectional Error-Detecting Codes over Zm

摘要

Some new classes of systematic t-unidirectional error-detecting codes over Zm are designed. It is shown that the constructed codes can detect two errors using two check digits. Furthermore, the constructed codes can detect up to m^{r - 2} + r - 2 errors using r 驴 3 check bits. A bound on the maximum number of detectable errors using r check digits is also given.