%0 Journal Article
%T On the classification of certain ternary codes of length 12
%A Makoto Araya
%A Masaaki Harada
%J Mathematics
%D 2015
%I arXiv
%X Shimada and Zhang studied the existence of polarizations on some supersingular $K3$ surfaces by reducing the existence of the polarizations to that of ternary $[12,5]$ codes satisfying certain conditions. In this note, we give a classification of ternary $[12,5]$ codes satisfying the conditions. To do this, ternary $[10,5]$ codes are classified for minimum weights $3$ and $4$.
%U http://arxiv.org/abs/1508.02819v2