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18 papers · 1 filter
On the Composition of Secret Sharing Schemes Related to Codes
Irene Márquez-Corbella, Edgar Martínez-Moro, Emilio Suárez-Canedo
In this paper we construct a subclass of the composite access structure introduced by Martínez et al. based on schemes realizing the structure given by the set of codewords of mini…
The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach II
José F. Cariñena, Manuel F. Rañada, Mariano Santander
This paper is the second part of a study of the quantum free particle on spherical and hyperbolic spaces by making use of a curvature-dependent formalism. Here we study the analogu…
Computing coset leaders and leader codewords of binary codes
M. Borges-Quintana, M. A. Borges-Trenard, I. Márquez-Corbella +1
In this paper we use the Gröbner representation of a binary linear code to give efficient algorithms for computing the whole set of coset leaders, denoted by $\mathrm{…
Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces
José F. Cariñena, Manuel F. Rañada, Mariano Santander
A nonlinear model representing the quantum harmonic oscillator on the three-dimensional spherical and hyperbolic spaces, $S_\k^3$ () and (), is studied. The curva…
Generalizations of Maxwell (super)algebras by the expansion method
J. A. de Azcarraga, J. M. Izquierdo, J. Lukierski +1
The Lie algebras expansion method is used to show that the Maxwell (super)algebras and some of their generalizations can be derived in a simple way as particular expansions of o(3,…
Power Series Solutions of Non-Linear q-Difference Equations and the Newton-Puiseux Polygon
José Cano, Pedro Fortuny Ayuso
Adapting the Newton-Puiseux Polygon process to nonlinear q-difference equations of any order and degree, we compute their power series solutions, study the properties of the set of…