AN ASYMPTOTICALLY GOOD TOWER OF CURVES OVER THE FIELD WITH EIGHT ELEMENTS

DOI10.1112/S0024609302001017zbMath1062.11037arXivmath/0102158OpenAlexW1932643409MaRDI QIDQ3152362

Gerard van der Geer, Marcel van der Vlugt

Publication date: 22 October 2002

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102158

zbMATH Keywords

Artin-Schreier coverasymptotically good tower

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) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (12)

A modular interpretation of various cubic towers ⋮ A simplified proof for the limit of a tower over a cubic finite field ⋮ Curves of every genus with a prescribed number of rational points ⋮ The exact limit of some cubic towers ⋮ Good recursive towers over prime fields exist ⋮ Rational places in extensions and sequences of function fields of Kummer type ⋮ A note on a tower by Bassa, Garcia and Stichtenoth ⋮ Graphs and recursively defined towers of function fields ⋮ Counting curves over finite fields ⋮ 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 ⋮ Generalized AG codes and generalized duality

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