A new tower with good $p$-rank meeting Zink’s bound
Nurdagül Anbar, Peter Beelen, Nhut Nguyen · Acta Arithmetica · 2017
We investigate the asymptotic $p$-rank of a new tower of function fields defined over cubic finite fields. Its limit meets Zink’s bound, but the new feature of this tower is that its asymptotic $p$-rank for small cubic finite fields is much smaller than t