DCm codes for constructing t-EC/AUED codes

A common method for constructing t-error correcting/all unidirectional error detecting (t-EC/AUED) codes is to append a tail to t-EC code, where the tail is a function of the weight of the codeword. Here, we present a method to reduce the weight distribution of t-EC codes by using a DC_m(k+d, k) code as the input of t-EC code where a DC_m(k+d, k) code is of length k+dnd 2^k codewords with the weight distribution between [(k+d-m)/2] and [(k+d+m)/2]. It is shown that our t-EC/AUED codes have the better information rates than the previously developed codes due to the smaller tails