3 papers
math.NT2025
A family of asymptotically bad wild towers of function fields
Maria Chara, Ricardo Toledano
In a previous work general conditions were given to prove the infiniteness of the genus of certain towers of function fields over a perfect field. It was shown that many examples w…
cs.IT2022
Minimum Distance and Parameter Ranges of Locally Recoverable Codes with Availability from Fiber Products of Curves
María Chara, Sam Kottler, Beth Malmskog +2
We construct families of locally recoverable codes with availability using fiber products of curves, determine the exact minimum distance of many families, and prove a ge…
math.AG2021
On cyclic algebraic-geometry codes
Gustavo Cabaña, María Chara, Ricardo A. Podestá +1
In this paper we initiate the study of cyclic algebraic geometry codes. We give conditions to construct cyclic algebraic geometry codes in the context of algebraic function fields…