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On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
December 22, 2020 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
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Authors
Carlos Galindo, Fernando Hernando
arXiv ID
2012.11998
Category
cs.IT: Information Theory
Citations
11
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
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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