Bassa, Alp and Stichtenoth, Henning
(2007)
*A simplified proof for the limit of a tower over a cubic finite field.*
Journal of Number Theory, 123
(1).
pp. 154-169.
ISSN 0022-314X

Official URL: http://dx.doi.org/10.1016/j.jnt.2006.06.005

## Abstract

Recently Bezerra, Garcia and Stichtenoth constructed an explicit tower F = (Fn)n 0 of function fields over a finite field F q3 , whose limit λ(F) = limn→∞N(Fn)/g(Fn) attains the Zink bound λ(F) 2(q2 1)/(q + 2). Their proof is rather long and very technical. In this paper we replace the complex calculations in their work by structural arguments, thus giving a much simpler and shorter proof for the limit of the Bezerra, Garcia and Stichtenoth tower.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | towers of function fields; genus; rational places; limits of towers; Zink's bound |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |

Depositing User: | Henning Stichtenoth |

Date Deposited: | 20 Dec 2006 02:00 |

Last Modified: | 04 Sep 2019 15:58 |

URI: | https://research.sabanciuniv.edu/id/eprint/157 |