Explicit Construction of AG Codes From a Curve in the Tower of Bassa-Beelen-Garcia-Stichtenoth

We present multi-point algebraic geometric codes overstepping the Gilbert-Varshamov bound. The construction is based on a curve in the tower introduced by Bassa et al. These codes are described in detail by constructing generator matrices. It turns out that these codes have nice properties similar to those of Hermitian codes. The duals are also such codes and can be expressed as an explicit formula.