A note on optimal towers over finite fields

DOI10.3836/tjm/1202136690zbMath1185.11072OpenAlexW2048252823MaRDI QIDQ932993

Takehiro Hasegawa

Publication date: 21 July 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1202136690

zbMATH Keywords

finite fieldstowers of function fieldscongruence zeta functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite ground fields in algebraic geometry (14G15) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (3)

On the number of effective divisors in algebraic function fields defined over a finite field ⋮ Lower bounds on the class number of algebraic function fields defined over any finite field ⋮ ON INVARIANTS OF TOWERS OF FUNCTION FIELDS OVER FINITE FIELDS

Cites Work

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• Algebraic function fields and codes
• An upper bound for the Garcia-Stichtenoth numbers of towers
• Number of points of an algebraic curve
• Algebraic-geometric codes and asymptotic problems
• On towers and composita of towers of function fields over finite fields
• On the asymptotic behaviour of some towers of function fields over finite fields
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On tame towers over finite fields

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