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- W2113231740 abstract "<para xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> Using the VlĂduŢ–Xing method, we refine a construction of Xu to improve the parameters of algebraic-geometry codes based on Hermitian curves. The parameters of these Hermitian codes are arbitrarily close to the Singleton bound, provided that the length of the code is sufficiently large. We also exhibit a class of Hermitian codes over any finite field <emphasis emphasistype=italic><formula formulatype=inline><tex Notation=TeX>${BBF}_{q^2}$</tex> </formula></emphasis> <emphasis emphasistype=italic><formula formulatype=inline> <tex Notation=TeX>$(q > 2)$</tex></formula></emphasis> with good parameters. </para>" @default.
- W2113231740 created "2016-06-24" @default.
- W2113231740 creator A5030013271 @default.
- W2113231740 date "2009-01-01" @default.
- W2113231740 modified "2023-09-26" @default.
- W2113231740 title "Improvements on Parameters of Algebraic-Geometry Codes From Hermitian Curves" @default.
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- W2113231740 doi "https://doi.org/10.1109/tit.2008.2008123" @default.
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