New examples of asymptotically good Kummer type towers

DOI10.1142/S0219498815500280zbMath1308.11066arXiv1402.1387OpenAlexW3103029157MaRDI QIDQ5175428

Maria de los Angeles Chara, Ricardo Toledano

Publication date: 23 February 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1387

zbMATH Keywords

function fieldsKummer extensionasymptotically good towers

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• On the construction of tame towers over finite fields
• Rational places in extensions and sequences of function fields of Kummer type
• On towers and composita of towers of function fields over finite fields
• On a problem of Garcia, Stichtenoth, and Thomas.
• Algebraic Function Fields and Codes
• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
• On tame towers over finite fields

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