Explicitly constructed extensions of the rational function field with prescribed splitting

DOI10.1016/S1071-5797(02)00029-1zbMath1029.11061OpenAlexW2094898800MaRDI QIDQ1870032

Vinay Deolalikar

Publication date: 4 May 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1071-5797(02)00029-1

zbMATH Keywords

function fields with many rational places

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58)

Cites Work

• Algebraic function fields and codes
• A formula for constructing curves over finite fields with many rational points
• On the asymptotic behaviour of some towers of function fields over finite fields
• Determining irreducibility and ramification groups for an additive extension of the rational function field.
• Explicit Class Field Theory for Rational Function Fields
• EXTENSIONS OF ALGEBRAIC FUNCTION FIELDS WITH COMPLETE SPLITTING OF ALL RATIONAL PLACES
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