A Diametric Theorem in Z_m~n for Lee and RelatedDistances

摘要

We present the diametric theorem for additive anticodes with respect to the Lee distance in Z_(2 ~k)~n where Z_(2~k) is an additive cyclic group of order 2~k. We also investigate optimal anticodes in Z_(p~k)~n for the homogeneous distance and in Z_m~n for the Krotov-type distance.