New Linear Codes and Algebraic Function Fields Over Finite Fields
Chaoping Xing, Sze Ling Yeo · IEEE Transactions on Information Theory · 2007
In this correspondence, we present 129 new linear codes over F8and F9based on the construction by Xing and Niederreiter using algebraic function fields and places of small degrees. In addition, we construct some global function fields in which the number of rational places improves the lower bounds given by van der Geer and van der Vlugt.