3 papers
math.AG2026
Weierstrass semigroups and the order bound
Alix Barraud, YaÄmur ÃakıroÄlu, Bianca Gouthier +2
The aim of this survey is to provide the reader with an essential and accessible introduction to the theory of Weierstrass semigroups, in the context of the theory developed by K.-…
math.AG2026
Hierarchical Locally Recoverable Codes on surfaces
Carolina Araujo, Luana Costa, Beth Malmskog +4
We construct locally recoverable codes with hierarchy from surfaces in admitting a fibration by curves of Artin-Schreier or Kummer type. We derive the parameters of…
math.AG2025
Locally Recoverable Codes with availability from a family of fibered surfaces
CecÃlia Salgado, Cecília Salgado, Lara Vicino
We construct Locally Recoverable Codes (LRCs) with availability from a family of fibered surfaces. To obtain the locality and availability properties, and to estimate the minim…