=ADD=
=reftype=
14
=number=
99-22
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1999/99-22.ps.gz
=year=
1999
=month=
08
=author=
Deischinger ; Harald
=title=
Algebraic Geometric Codes
=abstract=
In this work it is shown, how methods from algebraic geometry
can be used to construct valuable codes. 

In the first chapters a brief summary of algebraic geometry and
coding theory is given. It is also demonstrated, how well known
classed of codes, especially Reed-Solomon codes, can be constructed
as special cases of algebraic geometric codes.

The Skorobogatov-Vl{\u a}du{\c t} and Duurmsa decoding algorithms
are presented in detail.

As part of this diploma thesis a tutorial implementation was done,
which is presented at the end.
=note=
Diploma Thesis
=sponsor=
 
=keywords=
Goppa code, Gilbert-Varshamov bound