Asymptotically good towers of function fields with small p-rank

Asymptotically good towers of function fields with small p-rank

Over any quadratic finite field we construct function fields of large genus that have simultaneously many rational places, small p-rank, and many automorphisms.

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Bibliographische Detailangaben
Veröffentlicht in:Finite fields and their applications 2021-12, Vol.76, p.101909, Article 101909
Hauptverfasser: Anbar, Nurdagül, Stichtenoth, Henning, Tutdere, Seher
Format: Artikel
Sprache:eng
Schlagworte:
Automorphisms of function fields
Genus of a function field
Mathematics
Mathematics, Applied
p-rank
Physical Sciences
Rational places
Science & Technology
Towers of function fields
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Beschreibung
Zusammenfassung:Over any quadratic finite field we construct function fields of large genus that have simultaneously many rational places, small p-rank, and many automorphisms.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2021.101909