Using Quadratic Forms to find Curves with Many Points
نویسنده
چکیده
In both algebraic geometry and coding theory, there is a great deal of interest in finding curves with many rational points. In particular, the correspondence between trace codes and Artin-Schreier curves gives a relation between the weights of codewords and the number of rational points on such curves, low weight codewords yielding curves with a large number of rational points. Further, subcodes of these codes correspond to fiber products of Artin-Schrier curves. In this report, I will be following [3].
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تاریخ انتشار 2006