The MMD codes are proper for error detection

Abstract

The undetected error probability of a linear code used to detect errors on asymmetric channel is afunction of the symbol error probability of the channeland involves the weight distribution of the code. The code is proper, if the undetected error probability increases monotonouslyin the symbol error probability. Proper codes are generally considered to perform well in error detection. We show in this paper that the Maximum MinimumDistance (MMD) codes are proper