Abstract
Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q^2-ary linear codes. This result can be generalized to q^{2 m}-ary linear codes, m > 1. We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to Grassl (Bounds on the minimum distance of linear codes, http://www.codetables.de, 2020) and new q-ary ones, with q ne 2, improving others in the literature.
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