Decoding of scroll codes

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dc.creatorHitching, George H.
dc.creatorJohnsen, Trygve
dc.date2007-05-21
dc.date.accessioned2026-07-07T08:02:31Z
dc.date.available2026-07-07T08:02:31Z
dc.descriptionWe define and study a class of codes obtained from scrolls over curves of any genus over finite fields. These codes generalize Goppa codes in a natural way, and the orthogonal complements of these codes belong to the same class. We show how syndromes of error vectors correspond to certain vector bundle extensions, and how decoding is associated to finding destabilizing subbundles.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0705.2817
dc.identifierhttp://arxiv.org/abs/0705.2817
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129254
dc.subjectAlgebraic Geometry
dc.subject14J28
dc.titleDecoding of scroll codes
dc.typetext

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