Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Felipe Zaldívar"'
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 27
We show that for every linear section of a Grassmannian over a finite field $${{\mathbb {F}}}_q$$ , in addition to the evaluation code associated to the $${{\mathbb {F}}}_q$$ -rational points of the section, there exists a parity check code. Instance
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c6ebac7d9c21637d1547e12a29707ba
https://doi.org/10.1007/s40590-021-00351-1
https://doi.org/10.1007/s40590-021-00351-1
Autor:
Felipe Zaldívar
En esta introducción al álgebra, el autor parte de ideas sencillas de lógica y de la notación e ideas básicas de la teoría de conjuntos, para después estudiar relaciones y funciones, conceptos fundamentales en matemáticas. Finalmente, usando
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 25:747-758
We obtain descriptions of the Lagrangian–Grassmannian code (Carrillo-Pacheco and Zaldivar in Des Codes Cryptogr 60:291–268, 2011) as a linear code associated with an FFN(1, q)-projective variety (Carrillo-Pacheco and Zaldivar in Adv Math Commun 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00bed443e6cf472ebad5055893135b8c
https://doi.org/10.1007/s40590-018-0219-5
https://doi.org/10.1007/s40590-018-0219-5
Publikováno v:
Advances in Mathematics of Communications. 10:209-220
For projective varieties defined over a finite field ${\mathbb F}_q$ we show that they contain a unique subvariety that satisfies the Finite Field Nullstellensatz property [1,2], for homogeneous linear polynomials over ${\mathbb F}_q$. Using these su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::edab4c57174118af14f78ad7f5b5b9cf
https://doi.org/10.3934/amc.2016001
https://doi.org/10.3934/amc.2016001
Publikováno v:
Advances in Applied Clifford Algebras. 25:321-335
An alternate time-space framework is proposed by means of a hyperbolic scator algebraic formalism where the deformed Lorentz transformations are an immediate consequence of the formal properties of the algebra. We survey the group properties of the h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1aecf5cc6a23bb50417f3268f8b8773a
https://doi.org/10.1007/s00006-014-0486-9
https://doi.org/10.1007/s00006-014-0486-9
Publikováno v:
Advances in Applied Clifford Algebras. 24:661-674
The multiplicative or polar representation of hyperbolic scator algebra in 1 + n dimensions is introduced. The transformations between additive and multiplicative representations are presented. The addition and product operations are consistently def
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::524a01db642954705131d64b7c93b0ad
https://doi.org/10.1007/s00006-014-0454-4
https://doi.org/10.1007/s00006-014-0454-4
Publikováno v:
Advances in Applied Clifford Algebras. 23:825-835
In this paper we extend the results of hyperbolic scator algebra introduced in [5], to consider an elliptic product in a subset of \({\mathbb{R}^{1 + n}}\) which recovers the field of complex numbers when only one director component is present. The p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c3f1aa87e2bea0ea96790e65c10dfcb2
https://doi.org/10.1007/s00006-013-0406-4
https://doi.org/10.1007/s00006-013-0406-4
Publikováno v:
Advances in Applied Clifford Algebras. 23:639-656
We introduce a non distributive algebra over the reals in 1 + 2 dimensions that contains the hyperbolic complex algebra \({\mathbb{H}_2}\). The algebra has divisors of zero that can be avoided by introducing the necessary conditions. Under these cond
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a05c922b9595363ce18d3b5b4fafcc5e
https://doi.org/10.1007/s00006-013-0386-4
https://doi.org/10.1007/s00006-013-0386-4
Publikováno v:
American Journal of Physics. 79:1060-1063
We show that any group-theoretic differentiable operation in an open interval of real numbers is isomorphic to the usual addition of real numbers. Given the composition law, it is possible to establish the transformation relation. Alternatively, give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::505f570c86da4de33abe2100345ce148
https://doi.org/10.1119/1.3610179
https://doi.org/10.1119/1.3610179
Publikováno v:
Designs, Codes and Cryptography. 60:291-298
Using the Lagrangian---Grassmannian, a smooth algebraic variety of dimension n(n + 1)/2 that parametrizes isotropic subspaces of dimension n in a symplectic vector space of dimension 2n, we construct a new class of linear codes generated by this vari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78370ae3dc4ce6fe4393124a52daf784
https://doi.org/10.1007/s10623-010-9434-4
https://doi.org/10.1007/s10623-010-9434-4