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Quantum Codes from Linear Codes over Finite Chain Rings (1704.06375v1)
Published 21 Apr 2017 in cs.IT and math.IT
Abstract: 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.