  In this paper, we provide two methods of constructing quantum codes from
linear codes over finite chain rings. The first one is derived from the
Calderbank-Shor-Steane (CSS) construction applied to self-dual codes over
finite chain rings. The second construction is derived from the CSS
construction applied to Gray images of the linear codes over finite chain ring
$\mathbb{F}_{p^{2m}}+u\mathbb{F}_{p^{2m}}$. The good parameters of quantum
codes from cyclic codes over finite chain rings are obtained.
