arXiv · 0705.2817
Decoding of scroll codes
Abstract
We 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.
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George H. Hitching, Trygve Johnsen. 2007-05-21. Decoding of scroll codes. https://arxiv.org/abs/0705.2817
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