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pro vyhledávání: '"Chara, M."'
In this work we construct sequences of locally recoverable AG codes arising from a tower of function fields and give bound for the parameters of the obtained codes. In a particular case of a tower over $\mathbb{F}_{q^2}$ for any odd $q$, defined by G
Externí odkaz:
http://arxiv.org/abs/2209.07136
Publikováno v:
In Finite Fields and Their Applications February 2024 94
We study a tower of function fields of Artin-Schreier type over a finite field with $2^s$ elements. The study of the asymptotic behavior of this tower was left as an open problem by Beelen, Garc\'ia and Stichtenoth in $2006$. We prove that this tower
Externí odkaz:
http://arxiv.org/abs/1611.07458
In this paper we study the problem of constructing non-trivial subtowers and supertowers of recursive towers of function fields over finite fields.
Externí odkaz:
http://arxiv.org/abs/1402.6355
Autor:
Chara, M., Toledano, R
Publikováno v:
Journal of Number Theory, Volume 160, March 2016, Pages 666-678
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 this class.
Externí odkaz:
http://arxiv.org/abs/1402.6301
Autor:
Chara, M., Toledano, R
Publikováno v:
Tokyo J. of Math. Volume 38, Number 2 (2015), 339-352
In this paper we study general conditions to prove the infiniteness of the genus of certain towers of function fields over a perfect field. We show that many known examples of towers with infinite genus are particular cases of these conditions.
Externí odkaz:
http://arxiv.org/abs/1402.6318
Akademický článek
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Publikováno v:
Applicable Algebra in Engineering, Communication & Computing; Nov2023, Vol. 34 Issue 6, p1063-1078, 16p
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
In this paper we study the problem of constructing non-trivial subtowers and supertowers of recursive towers of function fields over finite fields. Fil: Chara, María de Los Ángeles. Consejo Nacional de Investigaciones Científicas y Técnicas. Cent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::851e44b6dcbf67c519eae685482ad102
https://doi.org/10.1007/s00200-022-00576-1
https://doi.org/10.1007/s00200-022-00576-1