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• W3040247238 endingPage "124623" @default.
• W3040247238 startingPage "124608" @default.
• W3040247238 abstract "Let p be an odd prime, and F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p(m)</sub> is the finite field of p <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>m</sup> elements. In this paper, all maximum distance separable (briefly, MDS) cyclic and negacyclic codes of length 2p <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</sup> over F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p(m)</sub> are established. As an application, all quantum MDS (briefly, qMDS) codes are constructed from cyclic and negacyclic codes of length 2p <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</sup> over finite fields using the Calderbank Shor-Steane (briefly, CSS) and Hermitian constructions. These codes are new in the sense that their parameters are different from all the previous constructions. Furthermore, quantum synchronizable codes (briefly, QSCs) are obtained from cyclic codes of length 2p <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>s</sup> over F <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>p(m)</sub> . To enrich the variety of available QSCs, many new QSCs are constructed to illustrate our results. Among them, there are QSCs codes with shorter lengths and much larger minimum distances than known primitive narrow-sense Bose-Chaudhuri-Hocquenghem (briefly, BCH) codes." @default.
• W3040247238 created "2020-07-10" @default.
• W3040247238 creator A5012434439 @default.
• W3040247238 creator A5020022323 @default.
• W3040247238 creator A5044769639 @default.
• W3040247238 date "2020-01-01" @default.
• W3040247238 modified "2023-10-10" @default.
• W3040247238 title "Quantum MDS and Synchronizable Codes From Cyclic and Negacyclic Codes of Length 2<i>p^s </i> Over F_{<i>p^m </i>}" @default.
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• W3040247238 doi "https://doi.org/10.1109/access.2020.3006001" @default.
• W3040247238 hasPublicationYear "2020" @default.
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