Some MDS and ACD codes over commutative non-unital rings of orders 4 and 9 (Revision)

Jon-Lark Kim, Marvin Olavides, Young Gun Roe

There are eleven finite rings of order $p^2$ denoted by $A_p$ to $K_p$ in alphabetical order. In particular, we consider $I_2$ and $I_3$ which are commutative non-unital ring…