Explicit Constructions of Algebraic-Geometric Codes
Hiren Maharaj · IEEE Transactions on Information Theory · 2005
We propose a simple construction of algebraic-geometric codes which are subcodes of Goppa codes and which coincide with Goppa codes in many cases. The codes we construct have the advantage that for an explicitly given extension of the rational function field, one can easily obtain explicit bases and therefore an exact formula for the dimension. Furthermore, we show that in many cases good upper and lower bounds for the minimum distance can be obtained