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Algebraic Geometric Codes from Elliptic Curves

David Jaramillo Martínez

出版	Uniandes, 2019
URL	http://books.google.com.hk/books?id=F_arzQEACAAJ&hl=&source=gbs_api

註釋

"Let C=[n,k,d] be a Goppa Code constructed from an elliptic curve. It is known that C is an AMDS (almost MDS) code i.e. d=n-k. By studying how many information sets C has (an MDS Code has \binom{n}{k} information sets) we investigate, for a given rate \frac{k}{n}, how close are actually Goppa Codes from being MDS, having in mind the benefit that they do not require such a big underlying field as say Reed-Solomon Codes. For the case k=3 we say exactly how far are them of being MDS."--Tomado del Formato de Documento de Grado.