Search Results - "Garcia, Ismael Gutierrez"
-
1
Fulcrum Rateless Multicast Distributed Coding Design
Published in IEEE access (01-01-2023)“…Establishing reliable and efficient multicast services in heterogeneous networks under an erasure channel is one of the current priorities in coding theory,…”
Get full text
Journal Article -
2
Middleware for Distributed Fulcrum Coding on the Fly: Leveraging Efficient Communications for 5G-IoT Heterogeneous Mobile Devices
Published in IEEE access (2023)“…We formalize and evaluate an adaptation of the Middleware Fulcrum coding scheme, developed under a Fog computing architecture, for 5G-IoT mobile devices. This…”
Get full text
Journal Article -
3
Finding Cliques in Projective Space: A Method for Construction of Cyclic Grassmannian Codes
Published in IEEE access (2020)“…In general, the construction of subspace codes or, in particular, cyclic Grassmannian codes in some projective space P q (n) is highly mathematical and…”
Get full text
Journal Article -
4
Probability density functions and the dynamics of complex systems associated to some classes of non-archimedean pseudo-differential operators
Published in Journal of pseudo-differential operators and applications (01-03-2021)“…In this article, we study certain p -adic master equations which describe the dynamics of a large class of complex systems such as glasses, macromolecules and…”
Get full text
Journal Article -
5
Some classes of non-archimedean pseudo-differential operators related to Bessel potentials
Published in Journal of pseudo-differential operators and applications (01-09-2020)“…In this article, we study two classes of non-archimedean pseudo-differential operators related to Bessel potentials. The first class of these operators, which…”
Get full text
Journal Article -
6
Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators
Published in Journal of pseudo-differential operators and applications (01-03-2020)“…In this article we prove that the heat kernel attached to the non-Archimedean elliptic pseudodifferential operators determine a Feller semigroup and a…”
Get full text
Journal Article -
7
New classes of p-adic pseudo-differential operators with negative definite symbols and their applications
Published in Journal of pseudo-differential operators and applications (01-12-2024)“…This paper introduces new classes of p -adic operators representing m -dissipative pseudo-differential operators with negative definite symbols under certain…”
Get full text
Journal Article -
8
A Note on the Strong Containment for Locally Defined Formations
Published in Communications in algebra (02-12-2015)“…Let =LF(F) and ℌ =LF(H) be two locally defined formations such that ≪ ℌ. In this article, we will find necessary conditions to have H(p) ⊆ f*(p) for a fixed…”
Get full text
Journal Article -
9
A novel maximum distance separable code to generate universal identifiers
Published in Cryptography and communications (15-09-2019)“…Nowadays it is vital to have a robust mechanism that can identify people, objects, animals, and living beings, for example, for agricultural, health and…”
Get full text
Journal Article -
10
Finite time blow-up for a p-adic nonlocal semilinear ultradiffusion equation
Published in Journal of mathematical analysis and applications (15-02-2021)“…We study the well-posed problem for general p-adic nonlocal semilinear ultradiffusion equations and the emergence of finite time blow-up for their solutions…”
Get full text
Journal Article -
11
An algorithm to generate binary Gabidulin codes using SAGE
Published in Revista IEEE América Latina (01-05-2015)“…In this work we present a few algorithms to generate binary matrix code, specially binary Gabidulin code, using the mathematics software system SAGE…”
Get full text
Journal Article -
12
Some classes of non-archimedean radial probability density functions associated with energy landscapes
Published 11-12-2018“…In this article, we study a large class of radial probability density functions defined on the p-adic numbers from which it is possible to obtain certain…”
Get full text
Journal Article -
13
On quasi-cyclic subspace codes
Published 10-08-2016“…Construction of subspace codes with good parameters is one of the most important problems in random network coding. In this paper we present first a…”
Get full text
Journal Article -
14
A module structure over maximal consistent sets
Published 24-07-2013“…It is shown the construction of a module structure [2] with universe over a set of a particular kind of mathematical proofs, the base ring of this module will…”
Get full text
Journal Article -
15
Sobre automorfismos de códigos extremales de tipo II
Published in Revista integración, temas de matematicas (01-12-2013)“…In this article we present some techniques to determine the types of automorphisms of extremal doubly even binary self-dual codes, also called extremal type II…”
Get full text
Journal Article -
16
Constructions of cyclic and quasi-cyclic Grassmannian codes
Published in Revista IEEE América Latina (01-07-2019)“…In this paper we construct, using GAP System for Computational Discrete Algebra and Wolfram Mathematica, some cyclic subspace codes, specially an optimal code…”
Get full text
Journal Article -
17
On authomorphisms of extremal type II codes
Published in Revista integración, temas de matematicas (01-12-2013)“…In this article we present some techniques to determine the types of automorphisms of extremal doubly even binary self-dual codes, also called extremal type II…”
Get full text
Journal Article -
18
The G-strong containment for locally defined formations of finite soluble groups
Published in Journal of algebra (01-05-2006)“…Let F and H be two saturated formations of finite soluble groups, with canonical definition F and H, respectively, and Char ( F ) ⊆ Char ( H ) . We say that F…”
Get full text
Journal Article -
19
On authomorphisms of extremal type II codes
Published in Revista integración, temas de matematicas (01-12-2013)“…In this article we present some techniques to determine the types of automorphisms of extremal doubly even binary self-dual codes, also called extremal type II…”
Get full text
Journal Article -
20
Non-Archimedean Pseudo-Differential Operators With Bessel Potentials
Published 01-04-2019“…In this article, we study a class of non-archimedean pseudo-differential operators associated via Fourier transform to the Bessel potentials. These operators…”
Get full text
Journal Article