摘要

In this article we investigate the p-rank of function fields in several good towers. To do this we first recall and establish some properties of the behaviour of the p-rank under extensions. Then we compute the p-ranks of function fields in several optimal towers over a quadratic field F-q2, as well as for a specific good tower over a cubic field F-q3, which was introduced by Bassa, Garcia and Stichtenoth.

  • 出版日期2010-12