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In this short paper, we consider the non-binary quantum codes construction from a class of linear codes, which are not self-orthogonal over finite fields. As the computational results, new quantum codes [[8, 0, ≥ 4]]3, [[8, 2, ≥ 3]]3, [[11, 1, ≥ 5]]3, [[10, 0, ≥ 5]]4, and [[16, 6, ≥ 4]]4 are obtained.

New Non-Binary Quantum Codes Derived From a Class of Linear Codes