The depth spectrums of linear cyclic codes on ring ZPm

In this paper, the generator polynomial of linear cyclic codes on ring Z
Pm
are studied, and we prove that the depth spectrum of linear cyclic codes C
l
= (p
^l−1
f
l
)(degf
l
= n−k, l = 1, 2 · · · ,m) has consisted exactly k non zero values and give the depth spectrum of linear cyclic codes on ring Z
Pm
.