Hilbert class field towers of function fields over finite fields and lower bounds for \(A(q)\)

DOI10.1006/jnth.2000.2596zbMath0991.11030OpenAlexW1974794202MaRDI QIDQ5931314

Alexandre Temkine

Publication date: 24 April 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2596

zbMATH Keywords

Hilbert class field towerrational places

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Class field theory (11R37)

Related Items

On the constant 𝐷(𝑞) defined by Homma ⋮ Semiample Bertini theorems over finite fields ⋮ On lower bounds for the Ihara constants  and ⋮ Coverings of curves with asymptotically many rational points

Cites Work

• Algebraic function fields and codes
• Number of points of an algebraic curve
• A note on tamely ramified towers of global function fields
• Tours ramifiées infinies de corps de classes. (Infinite ramified class field towers)
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• Towers of Global Function Fields with Asymptotically Many Rational Places and an Improvement on the Gilbert - Varshamov Bound
• Distribution des polynômes irréductibles dans $
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item