The MMD codes are proper for error detection

Journal article, 2002

The undetected error probability of a linear code used to detect errors on a symmetric channel is a function of the symbol error probability of the channel and involves the weight distribution of the code. The code is proper, if the undetected error probability increases monotonously in the symbol error probability. Proper codes are generally considered to perform well in error detection. We show in this paper that the Maximum Minimum Distance (MMD) codes are proper.