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

Abstract

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 [23] and new 2 = q-ary ones improving others in the literature.