An upper bound for the Garcia-Stichtenoth numbers of towers

DOI10.3836/tjm/1244208202zbMath1142.11374OpenAlexW2070880361MaRDI QIDQ819515

Takehiro Hasegawa

Publication date: 29 March 2006

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208202

zbMATH Keywords

Kummer extensionscoding theoryalgebraic function fields over finite fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Finite ground fields in algebraic geometry (14G15) Arithmetic codes (94B40) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

A note on optimal towers over finite fields

Cites Work

• Unnamed Item
• Algebraic function fields and codes
• On towers and composita of towers of function fields over finite fields
• On the asymptotic behaviour of some towers of function fields over finite fields
• A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound
• A sequence of one-point codes from a tower of function fields
• On tame towers over finite fields

This page was built for publication: An upper bound for the Garcia-Stichtenoth numbers of towers