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Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2005.856977
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dc.titleExcellent nonlinear codes from algebraic function fields
dc.contributor.authorStichtenoth, H.
dc.contributor.authorXing, C.
dc.date.accessioned2014-10-28T02:34:41Z
dc.date.available2014-10-28T02:34:41Z
dc.date.issued2005-11
dc.identifier.citationStichtenoth, H., Xing, C. (2005-11). Excellent nonlinear codes from algebraic function fields. IEEE Transactions on Information Theory 51 (11) : 4044-4046. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2005.856977
dc.identifier.issn00189448
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103222
dc.description.abstractThe Gilbert-Varshamov (GV) bound for asymptotic families of codes over F, has been improved by Tsfasman, Vlädug, and Zink (TVZ) in 1982, and only recently further improvements have been obtained by Xing, Elkies, and Niederreiter-Ozbudak, by considering also nonlinear codes. These improvements involve higher derivations in function fields and are very computational. We give in this correspondence a much simpler proof for those improvements. Our construction of asymptotically good nonlinear codes is very similar to Goppa's construction of algebraic-geometry codes. © 2005 IEEE.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1109/TIT.2005.856977
dc.sourceScopus
dc.subjectAlgebraic function fields
dc.subjectAlgebraic-geometry codes
dc.subjectAsymptotic bounds
dc.subjectTsfasman-Vlǎduţ-Zink (TVZ) bound
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1109/TIT.2005.856977
dc.description.sourcetitleIEEE Transactions on Information Theory
dc.description.volume51
dc.description.issue11
dc.description.page4044-4046
dc.description.codenIETTA
dc.identifier.isiut000233047800030
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