2 citations · 2 across the 11 of their papers we have counts for
12 papers
Good iso-dual AG-codes from towers of function fields
María Chara, Ricardo Podestá, Luciane Quoos +1
We present a simple method to establish the existence of asymptotically good sequences of iso-dual AG-codes. A key advantage of our approach, beyond its simplicity, is its flexibil…
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…
Bounds for the relative class number problem for function fields
Santiago Arango-Piñeros, María Chara, Asimina S. Hamakiotes +2
We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relat…
Lifting iso-dual algebraic geometry codes
María Chara, Ricardo Podestá, Luciane Quoos +1
In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field with elements. Given a finite separable extension…
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…
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…
The conorm code of an AG-code
María Chara, Ricardo A. Podestá, Ricardo Toledano
Given a suitable extension of algebraic function fields over a finite field , we introduce the conorm code defined over w…
Block-transitive algebraic geometry codes attaining the Tsfasman-Vladut-Zink bound
María Chara, Ricardo A. Podestá, Ricardo Toledano
We study the asymptotic behavior of a family of algebraic geometry codes, which we call block-transitive, that generalizes the classes of transitive and quasi-transitive codes. We…
Asymptotically good 4-quasi transitive algebraic geometry codes over prime fields
María Chara, Ricardo Toledano, Ricardo Podestá
We study the asymptotic behavior of a family of algebraic geometry codes which are 4-quasi transitive linear codes. We prove that this family is asymptotically good over many prime…
On cubic Kummer towers of Garcia, Stichtenoth and Thomas type
M. Chara, R Toledano
In this paper we initiate the study of the class of cubic Kummer type towers considered by Garcia, Stichtenoth and Thomas in 1997 by classifying the asymptotically good ones in thi…
New examples of asymptotically good Kummer type towers
Maria Chara, Ricardo Toledano
In this work, we give sufficient conditions in order to have finite ramification locus in sequences of function fields defined by different kind of Kummer extensions. These conditi…
A note on subtowers and supertowers of recursive towers of function fields
M. Chara, H. Navarro, R. Toledano
In this paper we study the problem of constructing non-trivial subtowers and supertowers of recursive towers of function fields over finite fields.