Please use this identifier to cite or link to this item: https://doi.org/10.1109/18.761259
Title: Constructions of algebraic-geometry codes
Authors: Xing, C. 
Niederreiter, H. 
Lam, K.Y. 
Issue Date: 1999
Citation: Xing, C., Niederreiter, H., Lam, K.Y. (1999). Constructions of algebraic-geometry codes. IEEE Transactions on Information Theory 45 (4) : 1186-1193. ScholarBank@NUS Repository. https://doi.org/10.1109/18.761259
Abstract: Based on curves over finite fields with many rational points, we present two constructions of linear codes from local expansions of functions at a fixed rational point. It turns out that codes from our constructions have the same bound on their parameters as Goppa's geometry codes. Furthermore, we prove that our second construction is equivalent to Goppa's construction. Finally, an additional construction of linear codes from maximal curves shows that these codes have better parameters than Goppa's geometry codes from maximal curves for a certain interval of parameters.
Source Title: IEEE Transactions on Information Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/43040
ISSN: 00189448
DOI: 10.1109/18.761259
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