Towers of Function Fields over Non-prime Finite Fields

zbMath1383.11083arXiv1202.5922MaRDI QIDQ2801863

Henning Stichtenoth, Alp Bassa, Beelen, Peter, Arnaldo Garcia

Publication date: 22 April 2016

Full work available at URL: https://arxiv.org/abs/1202.5922

zbMATH Keywords

rational placesgenustowers of function fieldscurves with many pointsIhara's constant

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Related Items (15)

On the constant 𝐷(𝑞) defined by Homma ⋮ A graph aided strategy to produce good recursive towers over finite fields ⋮ A modular interpretation of various cubic towers ⋮ The exact limit of some cubic towers ⋮ A note on subtowers and supertowers of recursive towers of function fields ⋮ Good recursive towers over prime fields exist ⋮ A new tower with good $p$-rank meeting Zink’s bound ⋮ A modular interpretation of BBGS towers ⋮ Asymptotically good towers of function fields with small \(p\)-rank ⋮ A note on a tower by Bassa, Garcia and Stichtenoth ⋮ Construction of arithmetic secret sharing schemes by using torsion limits ⋮ Towers of \(\mathrm{GL}(r)\)-type of modular curves ⋮ Varieties over finite fields: quantitative theory ⋮ Counting curves over finite fields ⋮ Yet another variation on minimal linear codes

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