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1. 1. Algebraic Curves over Finite Fields

   Master-uppsats, Matematiska institutionen

   Författare :Carmen Rovi; [2010]
   Nyckelord :Nullstellensatz; variety; rational function; Function field; Weierstrass gap Theorem; Ramification; Hurwitz genus formula; Kummer and Artin-Schreier extensions; Hasse-Weil bound; Goppa codes.;

   Sammanfattning : This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Since Goppa's construction of algebraic geometric codes, there has been great interest in finding curves with many rational points. LÄS MER