A Note on an Asymptotically Good Tame Tower

2007/09/20 by Siman Yang, Yang, Siman
Computer Science · Engineering · Mathematics · #14G05 #14H05 #Algebraic Geometry and Number Theory #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #graph theory and CDMA systems #math.NT #msc:14G05 #msc:14H05

paper · pdf · doi:10.48550/arxiv.0709.3128

7 pages

arxiv created 2007/09/20 · openalex publication_date 2007/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The explicit construction of function fields tower with many rational points relative to the genus in the tower play a key role for the construction of asymptotically good algebraic-geometric codes. In 1997 Garcia, Stichtenoth and Thomas [6] exhibited two recursive asymptotically good Kummer towers over any non-prime field. Wulftange determined the limit of one tower in his PhD thesis [13]. In this paper we determine the limit of another tower [14].

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