The Exact Limit of Some Cubic Towers

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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.
Original languageEnglish
Title of host publicationProceedings of the International Conference on Arithmetic, Geometry, Cryptography and Coding theory (2015)
Number of pages17
PublisherAmerican Mathematical Society
Publication date2017
Publication statusPublished - 2017
Event15th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory - Marseille, France
Duration: 18 May 201522 May 2015
Conference number: 15
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Conference

Conference15th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory
Number15
CountryFrance
CityMarseille
Period18/05/201522/05/2015
Internet address
SeriesContemporary Mathematics
Volume686
ISSN0271-4132

ID: 123789008