Scroll codes over curves of higher genus
Peer reviewed, Journal article
Accepted version
Permanent lenke
https://hdl.handle.net/1956/5336Utgivelsesdato
2010Metadata
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Originalversjon
https://doi.org/10.1007/s00200-010-0130-4Sammendrag
We construct linear codes from scrolls over curves of high genus and study the higher support weights di of these codes. We embed the scroll into projective space Pk-1 and calculate bounds for the di by considering the maximal number of Fq-rational points that are contained in a codimension h subspace of Pk-1. We nd lower bounds of the di and for the cases of large i calculate the exact values of the di. This work follows the natural generalisation of Goppa codes to higher-dimensional varieties as studied by S.H. Hansen, C. Lomont and T. Nakashima.