Linear Codes over Z[sub 2[sup s]] with the Extended Lee Weight
Bahattin Yıldız, Zeynep Ödemiş Özger, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias A. Anastassi · AIP conference proceedings · 2011
The main goal in our paper is to take a more natural generalization of the Lee weight to the ring Z2s, and to study some differences with the homogeneous weight. The weight to be considered will be: wL(x)≔{x,ifx≤2s−12s−x,ifx>2s−1. A weight preserving Gray map from Z2s to (Z2)2s−1 can easily be defined. This map will take linear codes over Z2s.We reach a result about the divisibility of the coefficients of the Lee weight enumerators of linear codes over Z2s.