Nonlinear codes from algebraic curves improving the Tsfasman-Vladut-Zink bound

In the present paper, we construct a class of nonlinear codes by making use of higher order derivatives of certain functions of algebraic curves. It turns out that the asymptotic bound derived from the Goppa geometry codes can be improved for the entire interval (0,1). In particular, the Tsfasman-Vladut-Zink (TVZ) bound is ameliorated for the entire interval (0,1).