A generalization of the construction of quantum codes from Hermitian self-orthogonal codes

12/22/2020

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by   Carlos Galindo, et al.

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An important strength of the q-ary stabilizer quantum codes is that they can be constructed from Hermitian self-orthogonal q^2-ary linear codes. We prove that this result can be extended to q^2^ℓ-ary linear codes, ℓ > 1, and give a result for easily obtaining codes of the last type. As a consequence we provide several new binary stabilizer quantum codes which are records according to <cit.> and new 2 ≠ q-ary ones improving others in the literature.