=ADD= =reftype= 14 =number= 00-05 =url= ftp://ftp.risc.uni-linz.ac.at/pub/techreports/2000/00-05.ps.gz =year= 2000 =month= 02 =author= Hackl; Michaela =title= Multivariate Polynomial Codes =abstract= We decribe the construction of multi-dimensional cyclic codes and 1-point AG-codes and show how they can be decoded using the Berlekamp Massey Sakata algorithm. To enable the reader to experiment with the codes and the decoding algorithm, we present a tutorial implementation, which will be included in the CASA system. =note= Diploma Thesis =keywords= Goppa codes, multi-dimensional cyclic codes, Sakata's algorithm, coding theory