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

Carlos Galindo; Fernando Hernando

doi:10.1007/s10623-022-01018-2

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arXiv · 2012.11998

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

Carlos Galindo·Fernando Hernando

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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 \cite{codet} and new $q$-ary ones, with $q \neq 2$, improving others in the literature.

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Carlos Galindo, Fernando Hernando. 2020-12-22. On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes. https://doi.org/10.1007/s10623-022-01018-2

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