On One-Weight and ACD Codes in Z2r x Z4s x Z8t

Abstract

In this paper, one-weight and additive complementary dual (ACD) codes in Z(2)(r) x Z(4)(s) x Z(8)(t) are studied. Firstly, it is shown that the image of an equidistant Z(2)Z(4)Z(8)-additive code is a binary equidistant code. Then, some properties of the structure and possible weights for one-weight Z(2)Z(4)Z(8)-additive codes are described. Finally, it is given the sufficient conditions for a Z(2)Z(4)Z(8)-additive code to be ACD.