PURE ASYMMETRIC QUANTUM MDS CODES FROM CSS CONSTRUCTION: A COMPLETE CHARACTERIZATION

DOI10.1142/S0219749913500275zbMath1272.81043arXiv1006.1694OpenAlexW3098419466WikidataQ62577993 ScholiaQ62577993MaRDI QIDQ2844419

Somphong Jitman, Han Mao Kiah, San Ling, Martianus Frederic Ezerman

Publication date: 28 August 2013

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1694

zbMATH Keywords

weight distributionMDS codesasymmetric quantum codesgeneralized Reed-Solomon codessingleton bound

Mathematics Subject Classification ID

Other types of codes (94B60) Quantum coding (general) (81P70)

Related Items (20)

Constructions of asymmetric quantum alternant codes ⋮ On the construction of optimal asymmetric quantum codes ⋮ Matrix-Product Constructions for Hermitian Self-Orthogonal Codes ⋮ A different construction for some classes of quantum MDS codes ⋮ Asymmetric quantum Griesmer codes detecting a single bit-flip error ⋮ Quantum MDS and synchronizable codes from cyclic codes of length \(5p^s\) over \(\mathbb{F}_{p^m}\) ⋮ Some new constructions of optimal asymmetric quantum codes ⋮ Asymmetric quantum codes: new codes from old ⋮ New optimal asymmetric quantum codes derived from negacyclic codes ⋮ On the construction of asymmetric quantum codes ⋮ Weight enumerators for nonbinary asymmetric quantum codes and their applications ⋮ Some families of optimal quantum codes derived from constacyclic codes ⋮ SYMMETRIC AND ASYMMETRIC QUANTUM CODES ⋮ Some families of asymmetric quantum MDS codes constructed from constacyclic codes ⋮ On optimal constacyclic codes ⋮ Hulls of linear codes revisited with applications ⋮ Linear \(\ell\)-intersection pairs of MDS codes and their applications to AEAQECCs ⋮ Xing-Ling codes, duals of their subcodes, and good asymmetric quantum codes ⋮ Quantum MDS and synchronizable codes from cyclic and negacyclic codes of length \(4p^s\) over \(\mathbb{F}_{p^m}\) ⋮ Some families of asymmetric quantum codes and quantum convolutional codes from constacyclic codes

Cites Work

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• On sets of vectors of a finite vector space in which every subset of basis size is a basis
• Multiple-particle interference and quantum error correction
• Asymmetric quantum codes: constructions, bounds and performance
• A construction of non-Reed-Solomon type MDS codes
• Quantum error correction via codes over GF(4)
• The Weights in MDS Codes
• Asymmetric Quantum Codes: Characterization and Constructions

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