Coding Theory
The Hasse-Weil Bound is a critical limit in algebraic geometry that provides a maximum number of rational points on an algebraic variety over finite fields. This bound is particularly significant in the construction of Algebraic Geometry (AG) codes, as it relates to the performance and efficiency of these codes by determining how many codewords can be generated from a given variety. Understanding this bound is essential for optimizing error correction capabilities in AG codes.
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