New quantum codes from constacyclic codes over finite chain rings

Let R be the finite chain ring F₏^₂₌+uF₏^₂₌, where F₏^₂₌ is the finite field with p^2m elements, p is a prime, m is a non-negative integer and u^2=0. In this paper, we firstly define a class of Gray maps, which changes the Hermitian self-orthogonal property of linear codes over F₂^₂₌+uF₂^₂₌ into the Hermitian self-orthogonal property of linear codes over F₂^₂₌. Applying the Hermitian construction, a new class of 2^m-ary quantum codes are obtained from Hermitian constacyclic self-orthogonal codes over F₂^₂₌+uF₂^₂₌. We secondly define another class of maps, which changes the Hermitian self-orthogonal property of linear codes over R into the trace self-orthogonal property of linear codes over F₏^₂₌. Using the Symplectic construction, a new class of p^m-ary quantum codes are obtained from Hermitian constacyclic self-orthogonal codes over R.