Improved Approach to Algebraic-Geometric Codes
Wanbao Hu · 2009
Improved approach to the bounds of the minimum distance of algebraic-geometric codes is presented. One, by a class of examples from algebraic-geometric codes on Hermitian curves, shows that the Goppa's standard lower bound of the codes can be improved significantly in some cases. Further, one gives the upper bound of the minimum distance of the codes as well, and shows that our lower bound is very close to our upper bound.