1999/11/04 by Antonio Campillo, A. Campillo, Campillo, A. +6
Computer Science · Mathematics · #11T71 (Primary) 14Q05 (Secondary) #Algebraic Geometry (math.AG) #Coding theory and cryptography #Commutative Algebra and Its Applications #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Number Theory (math.NT) #Rings, Modules, and Algebras #cs.IT #math.AG #math.IT #math.NT #msc:11T71 #msc:14Q05
paper · pdf · doi:10.48550/arxiv.math/9911025
12 pages
arxiv created 1999/11/04 · openalex publication_date 1999/11/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we compute the order (or Feng-Rao) bound on the minimum distance of one-point algebraic geometry codes, when the Weierstrass semigroup at the point Q is an Arf semigroup. The results developed to that purpose also provide the dimension of the improved geometric Goppa codes related to those.