Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Alonso Sepúlveda Castellanos"'
Autor:
Alonso Sepúlveda Castellanos
Publikováno v:
Revista Integración, Vol 24, Iss 1, Pp 31-50 (2006)
In this work we present some properties of the hyperelliptical curves and their Jacobians, aiming at the implementation of criptossystems of public key. Also we show the algorithm of Cantor to add points in the Jacobian manifold, which is important f
Externí odkaz:
https://doaj.org/article/9c70762002d746bc9543215a1296ed27
A flag of codes $C_0 \subsetneq C_1 \subsetneq \cdots \subsetneq C_s \subseteq {\mathbb F}_q^n$ is said to satisfy the {\it isometry-dual property} if there exists ${\bf x}\in (\mathbb{F}_q^*)^n$ such that the code $C_i$ is {\bf x}-isometric to the d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d3ac00533cf5072aa2afc924d10f6b9
http://arxiv.org/abs/2005.12239
http://arxiv.org/abs/2005.12239
Publikováno v:
Journal of Pure and Applied Algebra. 222:1803-1809
In this work we determine the so-called minimal generating set of the Weierstrass semigroup of certain m points on curves X with plane model of the form f ( y ) = g ( x ) over F q , where f ( T ) , g ( T ) ∈ F q [ T ] . Our results were obtained us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efe14e739851ec2bce4c99a13f0248de
https://doi.org/10.1016/j.jpaa.2017.08.007
https://doi.org/10.1016/j.jpaa.2017.08.007
Autor:
Alonso Sepúlveda Castellanos
Publikováno v:
Advances in Mathematics of Communications. 11:115-122
In this work, we studied the generalized Hamming weights of algebraic geometric Goppa codes on the $\mathcal{GH}$ curve. Especially, exact results on the second generalized Hamming weight are given for almost all cases. Furthermore, we apply the resu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c7cb70117e98ac99e4db651d43ff445
https://doi.org/10.3934/amc.2017006
https://doi.org/10.3934/amc.2017006
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this paper, we construct some class of explicit subcovers of the curve $\mathcal {X}_{n,r}$ defined over $\mathbb {F}_{q^{n}}$ by affine equation $y^{q^{n-1}}+\cdots +y^{q}+y=x^{q^{n-r}+1}-x^{q^{n}+q^{n-r}}$ . These subcovers are defined over $\ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf0821943a2e6f5966991b036dda8855
Publikováno v:
IEEE Transactions on Information Theory. 62:681-686
We determine de Weierstrass semigroup of a pair of certain rational points on the GK-curves. We use this semigroup to obtain two-point AG codes with better parameters than comparable one-point AG codes arising from these curves. These parameters are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1fbc4f19dcb12de8ef7b9e0c22a6b89c
https://doi.org/10.1109/tit.2015.2511787
https://doi.org/10.1109/tit.2015.2511787
We determine the Weierstrass semigroup $$H(P_{\infty }, P_{1}, \ldots , P_{m})$$ at several points on the GK curve. In addition, we present conditions to find pure gaps on the set of gaps $$G(P_{\infty }, P_{1}, \ldots , P_{m})$$ . Finally, we apply
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3d9a6b1fbfcb336a2f9dd6d4b0de81c
Publikováno v:
IEEE Transactions on Information Theory. 59:6642-6645
We determine the full automorphism group of the Generalized Hermitian curve, denoted by GH, which generalizes the Hermitian curve. The automorphism group of a code is important in Coding Theory, and in this way, we determine completely the automorphi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8811325df17c02b66e9df6c0a886a00b
https://doi.org/10.1109/tit.2013.2271034
https://doi.org/10.1109/tit.2013.2271034
We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by $y^m=f(x)^{\lambda}$ where $f(x)$ is a separable polynomial over $\mathbb{F}_q$. In addition, we compute the Weierstrass semigroup at two certain tota
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::593989f0b786538dc89d8b504ede8bfe