introduction to Goppa codes and recent developments in this field; providing basic tools and ideas in algebraic function fields on which these codes are based on; demonstrate high potential of this class of codes
-basics in coding theory -bounds on code parameter -basics in algebraic function fields -Goppa codes -extensions of algebraic function fields -Theorem of Hasse-Weil and the Tsfasman-Vladut-Zink bound -Hermitian codes and recent developments in AG codes
Not necessary
H. Stichtenoth: Algebraic function fields and codes, Springer, 2008
basic course in algebra is obligatory; introduction to coding theory helpful
