On the construction of tame towers over finite fields

DOI10.1016/j.jpaa.2004.12.008zbMath1128.11054OpenAlexW3023693904MaRDI QIDQ555972

Hiren Maharaj, Jörg Wulftange

Publication date: 10 June 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.008

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic field extensions (12F05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20)

Related Items (7)

Asymptotically bad towers of function fields ⋮ A note on subtowers and supertowers of recursive towers of function fields ⋮ On cubic Kummer type towers of Garcia, Stichtenoth and Thomas ⋮ Remarks on a paper by Maharaj and Wulftange ⋮ Towers of function fields over finite fields corresponding to elliptic modular curves ⋮ New examples of asymptotically good Kummer type towers ⋮ ON ASYMPTOTICALLY OPTIMAL TOWERS OVER QUADRATIC FIELDS RELATED TO GAUSS HYPERGEOMETRIC FUNCTIONS

Uses Software

• KANT/KASH

Cites Work

• Algebraic function fields and codes
• Number of points of an algebraic curve
• 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
• KANT V4
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• On ramification and genus of recursive towers
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On tame towers over finite fields
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