An explicit tower of function fields over cubic finite fields and Zink's lower bound

Henning Stichtenoth | Bezerra, Juscelino | Garcia, Arnaldo

Keywords: towers of function fields | rational places | cubic finite fields | Zink's bound

We present an explicit tower of function fields over GF(q^3) leading to a generalization of a bound due to T.Zink.The limit for the ratios (number of rational places)/(genus) for this tower over GF(q^3) is at least 2(q^2 -1)/(q+2).

Anexos:

• Cubic_Tower.pdf