## Abstract

For a function field *F | *

*ℓ*, denote by

*g*(

*F*) (resp.

*N*(

*F*)) the genus (resp. the number of rational places) of

*F |*. In this paper we present an explicit tower of function fields over for

*ℓ*=

*q*

^{3}, such that lim

_{r → ∞}

*N*(

*F*)

_{r}*| g*(

*F*) ≧ 2(

_{r}*q*

^{2}− 1)

*|*(

*q*+ 2).

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