New lower bounds for the Ihara function \(A(q)\) for small primes

DOI10.1016/j.jnt.2013.04.002zbMath1295.11070OpenAlexW2092818961MaRDI QIDQ740874

Laura L. Hall-Seelig

Publication date: 9 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.04.002

zbMATH Keywords

global function fieldsasymptotic boundscurves with many pointsIhara constantIhara function

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (3)

On the constant 𝐷(𝑞) defined by Homma ⋮ Robust control analysis and design for discrete-time singular systems ⋮ A modular interpretation of BBGS towers

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic function fields and codes
• Curves of every genus with many points. II: Asymptotically good families
• Algebraic curves over \({\mathbb{F}}_ 2\) with many rational points
• The Magma algebra system. I: The user language
• A note on tamely ramified towers of global function fields
• Coverings of curves with asymptotically many rational points
• Algebraic curves with many points over the binary field
• 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

This page was built for publication: New lower bounds for the Ihara function \(A(q)\) for small primes