Conference paper
The Exact Limit of Some Cubic Towers
Abstract
Recently, a new explicit tower of function fields was introduced by Bassa, Beelen, Garcia and Stichtenoth (BBGS). This resulted in currently the best known lower bound for Ihara’s constant in the case of non-prime finite fields. In particular over cubic fields, the tower’s limit is at least as good as Zink’s bound; i.e. λ(BBGS/Fq3 ) ≥ 2(q2 - 1)/(q + 2).
In this paper, the exact value of λ(BBGS/Fq3 ) is computed. We also settle a question stated by Ihara.
| Language: | English |
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| Publisher: | American Mathematical Society |
| Year: | 2017 |
| Proceedings: | 15th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory |
| Series: | Contemporary Mathematics |
| ISSN: | 02714132 and 10983627 |
| Types: | Conference paper |
| ORCIDs: | Beelen, Peter |
