  The central objective of this dissertation was to present the Goppa Geometry
Codes via elementary methods which were introduced by J.H. van Lint
,R.Pellikaan and T. Hohold about 1998. On the first part of such dissertation
are presented the fundamental concepts about bodies of rational functions of an
algebraic curve in the direction as to define the Goppa Codes on a classical
manner. In this study we based ourselves mainly on the book ? Algebraic
Function Fields and Codes? of H. Stichtenoth. The second part is initiated with
an introduction about
  the functions weight, degree and order which are fundamental for the study of
the Goppa Codes through elementary methods of linear algebra and of semigroups
and such study was based on ? Algebraic Geometry Codes ? of J.H. van
Lint,R.Pellikaan and T. Hohold.
