Fonctions booléennes très incomplètes. Représentation par des sommes de monômes
Foreword ICTCS 2010 special issue
Foreword ICTCS 2010 special issue
Forgery detection in dynamic signature verification by entailing principal component analysis.
Formalization of Integral Linear Space
In this article, we formalize integral linear spaces, that is a linear space with integer coefficients. Integral linear spaces are necessary for lattice problems, LLL (Lenstra-Lenstra-Lovász) base reduction algorithm that outputs short lattice base and cryptographic systems with lattice [8].
Formalization of the Advanced Encryption Standard. Part I
In this article, we formalize the Advanced Encryption Standard (AES). AES, which is the most widely used symmetric cryptosystem in the world, is a block cipher that was selected by the National Institute of Standards and Technology (NIST) as an official Federal Information Processing Standard for the United States in 2001 [12]. AES is the successor to DES [13], which was formerly the most widely used symmetric cryptosystem in the world. We formalize the AES algorithm according to [12]. We then verify...
Formalization of the Data Encryption Standard
In this article we formalize DES (the Data Encryption Standard), that was the most widely used symmetric cryptosystem in the world. DES is a block cipher which was selected by the National Bureau of Standards as an official Federal Information Processing Standard for the United States in 1976 [15].
Frame Analysis of Irregular Periodic Sampling of Signals anf Their Derivatives.
Frequency-Domain Bounds for Nonnegative, Unsharply Band-Limited Functions.
From Bi-ideals to Periodicity
The necessary and sufficient conditions are extracted for periodicity of bi-ideals. They cover infinitely and finitely generated bi-ideals.
From Continous to Discrete Weyl-Heisenberg Frames Through Sampling.
From the Slit-Island Method to the Ising model: Analysis of irregular grayscale objects
The Slit Island Method (SIM) is a technique for the estimation of the fractal dimension of an object by determining the area-perimeter relations for successive slits. The SIM could be applied for image analysis of irregular grayscale objects and their classification using the fractal dimension. It is known that this technique is not functional in some cases. It is emphasized in this paper that for specific objects a negative or an infinite fractal dimension could be obtained. The transformation...
Fully connected PLL networks: how filter determines the number of nodes.
Funciones de entropía asociadas a medidas de Csiszar.
En este trabajo se presentan las medidas de entropía que provienen de la distancia, en el sentido de Csiszar, entre una distribución y la distribución en la que todos los sucesos son equiprobables. En segundo lugar, se estudian condiciones para la concavidad y no negatividad de las medidas propuestas. Finalmente, se obtienen los funcionales Φ-entropía como casos particulares de las medidas estudiadas.
Functional equations and information measures with preference
Functional equations related to non-additive information measures
Functionals depending on curvatures with constraints
Fundamental equation of information revisited.
Fundamentals of a mathematical theory of fuzzy sets
Fuzzy sets establish a mapping from the interval of values of a criterial function onto a system of subsets of a basic set. In the paper, a system of definitions and theorems is introduced, which is aimed at an adequate expression of this point of view. The criterial function, with an arbitrary interval of values, serves for expressing the really existing objective property, forming the basis for defining a fuzzy set.
Further reverse results for Jensen's discrete inequality and applications in information theory.