On codes over Z_m (Corresp.)

The factorization of Abelian codes over Z_{m} , i.e., ideals in Z_{m},G,G a finite Abelian group, corresponding to a factorization of m and that of G as a product of cyclic groups are considered. Quasi-Abelian codes over Z_{m} are considered and it is shown that every quasi-Abelian code over Z_{m} is a direct sum of Abelian codes over Z_{m} . A factorization of Gray codes over Z_{m} is also considered.