A simplified proof for the limit of a tower over a cubic finite field

DOI10.1016/j.jnt.2006.06.005zbMath1109.11056OpenAlexW2115065959MaRDI QIDQ868905

Henning Stichtenoth, Alp Bassa

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.06.005

zbMATH Keywords

rational placesgenusZink's boundfunction field towers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cubic and quartic extensions (11R16)

Cites Work

• 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
• AN ASYMPTOTICALLY GOOD TOWER OF CURVES OVER THE FIELD WITH EIGHT ELEMENTS
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• An explicit tower of function fields over cubic finite fields and Zink’s lower bound
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