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|Title:||Constructions of algebraic-geometry codes|
|Authors:||Xing, C. |
|Source:||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|
|Appears in Collections:||Staff Publications|
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