NEW QUANTUM CODES CONSTRUCTED FROM A CLASS OF IMPRIMITIVE BCH CODES

DOI10.1142/S0219749913500068zbMath1269.81037OpenAlexW2057854538WikidataQ57968788 ScholiaQ57968788MaRDI QIDQ5300684

Ruihu Li, Youqian Feng, Yang Liu, Yuena Ma

Publication date: 27 June 2013

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

Full work available at URL: https://doi.org/10.1142/s0219749913500068

zbMATH Keywords

dimensionquantum codecyclotomic cosetdual containing codeimprimitive BCH (Bose-Chaudhuri-Hocquenghem) code

Mathematics Subject Classification ID

Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60) Cyclic codes (94B15) Quantum coding (general) (81P70)

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New quantum codes constructed from quaternary BCH codes, New nonbinary quantum codes with larger distance constructed from BCH codes over 𝔽q2, New quantum BCH codes of length \(n = r(q^2 - 1)\), New quantum constacyclic codes with length n=2(qm+1)

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