A tower with non-Galois steps which attains the Drinfeld-Vladut bound

DOI10.1016/j.jnt.2003.11.004zbMath1060.11078OpenAlexW1990277861MaRDI QIDQ1434342

Arnaldo Garcia, Juscelino Bezerra

Publication date: 4 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2003.11.004

zbMATH Keywords

finite fieldsrational placesgenustowers of function fieldsDrinfeld-Vladut bound

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71)

Related Items (4)

A note on subtowers and supertowers of recursive towers of function fields ⋮ On the Computation of Non-uniform Input for List Decoding on Bezerra-Garcia Tower ⋮ Asymptotics for the genus and the number of rational places in towers of function fields over a finite field ⋮ Towards a classification of recursive towers of function fields over finite fields

Cites Work

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• Algebraic function fields and codes
• Number of points of an algebraic curve
• On the asymptotic behaviour of some towers of function fields over finite fields
• Curves with many points and multiplication complexity in any extension of \(\mathbb{F}_q\)
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On tame towers over finite fields
• Improvement of Ashikhmin-Litsyn-Tsfasman bound for quantum codes

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