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In this paper, we provide two methods of constructing quantum codes fromlinear codes over finite chain rings. The first one is derived from theCalderbank-Shor-Steane (CSS) construction applied to self-dual codes overfinite chain rings. The second construction is derived from the CSSconstruction 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 quantumcodes from cyclic codes over finite chain rings are obtained.

Quantum Codes from Linear Codes over Finite Chain Rings