Construction and decoding of a class of algebraic geometry codes
JØrn Justesen, Knud J. Larsen, Helge Elbrond Jensen, A. Havemose, Tom Høholdt · IEEE Transactions on Information Theory · 1989
A class of codes derived from algebraic plane curves is constructed. The concepts and results from algebraic geometry that were used are explained in detail; no further knowledge of algebraic geometry is needed. Parameters, generator and parity-check matrices are given. The main result is a decoding algorithm which turns out to be a generalization of the Peterson algorithm for decoding BCH decoder codes.>