Multiple Kummer extension and the number of prime divisors of degree one in function fields

DOI10.1016/0022-4049(93)90164-OzbMath0776.11068MaRDI QIDQ1208220

Xing, Chaoping

Publication date: 16 May 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Kummer extensiongenussmooth projective curverational function fieldsplitting of prime divisors

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Curves over finite and local fields (11G20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (4)

A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound ⋮ On towers and composita of towers of function fields over finite fields ⋮ Codes on fibre products of some Kummer coverings ⋮ Towers of Global Function Fields with Asymptotically Many Rational Places and an Improvement on the Gilbert - Varshamov Bound

Cites Work

• Modular curves, Shimura curves, and Goppa codes, better than Varshamov-Gilbert bound
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