Scroll codes over curves of higher genus
TypeJournal article; Peer reviewed
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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.
CitationApplicable Algebra in Engineering, Communication and Computing 21(5): 397-415
Copyright Springer-Verlag 2010