Algebraic geometry codes from higher dimensional varieties
نویسنده
چکیده
This paper is a general survey of work on Goppa-type codes from higher dimensional algebraic varieties. The construction and several techniques for estimating the minimum distance are described first. Codes from various classes of varieties, including Hermitian hypersurfaces, Grassmannians, flag varieties, ruled surfaces over curves, and Deligne-Lusztig varieties are considered. Connections with the theories of toric codes and order domains are also briefly indicated.
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عنوان ژورنال:
- CoRR
دوره abs/0802.2349 شماره
صفحات -
تاریخ انتشار 2008