By Henning Stichtenoth
This e-book hyperlinks topics: algebraic geometry and coding concept. It makes use of a singular technique in response to the speculation of algebraic functionality fields. insurance contains the Riemann-Rock theorem, zeta capabilities and Hasse-Weil's theorem in addition to Goppa' s algebraic-geometric codes and different conventional codes. it will likely be beneficial to researchers in algebraic geometry and coding concept and computing device scientists and engineers in info transmission.
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The speculation of algebraic functionality fields over finite fields has its origins in quantity conception. besides the fact that, after Goppa`s discovery of algebraic geometry codes round 1980, many purposes of functionality fields have been present in varied parts of arithmetic and data conception. This booklet offers survey articles on a few of these new advancements.
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