Reed-Muller codes for error detection: the good, the bad, and the ugly
Torleiv Kløve · IEEE Transactions on Information Theory · 1996
The error detecting capability of Reed-Muller codes is analyzed. If a block code is used for error detection only, then an error is undetectable if it transforms a codeword into another codeword. The probability of undetected error for a binary [n,k] code C used on a binary-symmetric channel with crossover probability p, is given.