Nonlinear codes from algebraic curves improving the Tsfasman-Vlǎdut-Zink bound

Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2003.813559

Title:	Nonlinear codes from algebraic curves improving the Tsfasman-Vlǎdut-Zink bound
Authors:	Xing, C.
Keywords:	Asymptotic bounds Curves Nonlinear codes
Issue Date:	Jul-2003
Citation:	Xing, C. (2003-07). Nonlinear codes from algebraic curves improving the Tsfasman-Vlǎdut-Zink bound. IEEE Transactions on Information Theory 49 (7) : 1653-1657. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2003.813559
Abstract:	In the present paper, we construct a class of nonlinear codes by making use of higher order derivatives of certain functions of algebraic curves. It turns out that the asymptotic bound derived from the Goppa geometry codes can be improved for the entire interval (0, 1). In particular, the Tsfasman-Vlǎduţ-Zink (TVZ) bound is ameliorated for the entire interval (0, 1).
Source Title:	IEEE Transactions on Information Theory
URI:	http://scholarbank.nus.edu.sg/handle/10635/103618
ISSN:	00189448
DOI:	10.1109/TIT.2003.813559
Appears in Collections:	Staff Publications

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