During this tract, Professor Moreno develops the speculation of algebraic curves over finite fields, their zeta and L-functions, and, for the 1st time, the speculation of algebraic geometric Goppa codes on algebraic curves. one of the purposes thought of are: the matter of counting the variety of ideas of equations over finite fields; Bombieri's evidence of the Reimann speculation for functionality fields, with results for the estimation of exponential sums in a single variable; Goppa's concept of error-correcting codes made out of linear structures on algebraic curves; there's additionally a brand new evidence of the TsfasmanSHVladutSHZink theorem. the necessities had to stick with this booklet are few, and it may be used for graduate classes for arithmetic scholars. electric engineers who have to comprehend the trendy advancements within the concept of error-correcting codes also will make the most of learning this paintings.
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