A note on tamely ramified towers of global function fields

DOI10.1006/ffta.2000.0336zbMath1028.11038OpenAlexW1967907500MaRDI QIDQ1609400

Bruno Anglès, Christian Maire

Publication date: 15 August 2002

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.2000.0336

zbMATH Keywords

class field towersrational placesglobal function fieldscurves over finite fieldsDrinfel'd-Vlădut boundlower bound for \(A(2), A(3)\)

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Arithmetic ground fields for curves (14H25) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Class field theory (11R37) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (7)

On the constant 𝐷(𝑞) defined by Homma ⋮ Block transitive codes attaining the Tsfasman-Vladut-Zink bound ⋮ A modular interpretation of BBGS towers ⋮ Lower bounds on the minimum distance of long codes in the Lee metric ⋮ Hilbert class field towers of function fields over finite fields and lower bounds for \(A(q)\) ⋮ New lower bounds for the Ihara function \(A(q)\) for small primes ⋮ On lower bounds for the Ihara constants  and

Cites Work

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• 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

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