953 resultados para Linear Codes over Finite Fields


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Port-au-Prince, la ville la plus peuplée des Caraïbes est ceinturée de quartiers précaires connus sous l’appellation de bidonvilles. Ces quartiers construits généralement sur des terrains dangereux, envahis par une population en quête de logement, abritent la plus forte proportion des habitants de la ville. Ils constituent en même temps des lieux d’observation de l’inimaginable capacité des populations locales à garantir l’accès à certains services. À travers l’action d’une association locale évoluant à Village solidarité dans la zone métropolitaine de Port-au-Prince, nous avons étudié les apports et les limites des stratégies utilisées dans l’organisation de services publics d’électricité. L’analyse repose fondamentalement sur une approche de développement local reposant sur cinq notions complémentaires et interreliées qui sont les suivantes : le projet commun, l’appartenance et l’identité collective, les ressources, le leadership, l’opportunité politique. Les résultats de la recherche font état d’un projet commun aux contours assez flous qui reflète des insuffisances au niveau des modes de pensée, et au niveau des ressources matérielles et financières mises en jeu. Le style de leadership en place au sein de l’association est teinté de déterminisme religieux, pris au piège des manœuvres clientélistes des politiciens locaux et infantilisé par l’action des agences gouvernementales. A la fin de l’étude nous dégageons des pistes pour dynamiser les forces du milieu et réorienter l’action associative afin d’aller vers un projet collectif. Ces pistes reposent fondamentalement sur la transformation des modes de pensée influençant l’action et la transformation des pratiques organisationnelles.

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Le but de ce mémoire est de dénombrer les polynômes irréductibles unitaires dans les corps finis avec certaines conditions sur les coefficients. Notre première condition sera de fixer la trace du polynôme. Par la suite, nous choisirons la cotrace lorsque la trace sera déjà fixée à zéro. Finalement, nous discuterons du cas où la trace et le terme constant sont fixés en même temps.

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Cryptosystem using linear codes was developed in 1978 by Mc-Eliece. Later in 1985 Niederreiter and others developed a modified version of cryptosystem using concepts of linear codes. But these systems were not used frequently because of its larger key size. In this study we were designing a cryptosystem using the concepts of algebraic geometric codes with smaller key size. Error detection and correction can be done efficiently by simple decoding methods using the cryptosystem developed. Approach: Algebraic geometric codes are codes, generated using curves. The cryptosystem use basic concepts of elliptic curves cryptography and generator matrix. Decrypted information takes the form of a repetition code. Due to this complexity of decoding procedure is reduced. Error detection and correction can be carried out efficiently by solving a simple system of linear equations, there by imposing the concepts of security along with error detection and correction. Results: Implementation of the algorithm is done on MATLAB and comparative analysis is also done on various parameters of the system. Attacks are common to all cryptosystems. But by securely choosing curve, field and representation of elements in field, we can overcome the attacks and a stable system can be generated. Conclusion: The algorithm defined here protects the information from an intruder and also from the error in communication channel by efficient error correction methods.

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In der Arbeit werden zunächst die wesentlichsten Fakten über Schiefpolynome wiederholt, der Fokus liegt dabei auf Shift- und q-Shift-Operatoren in Charakteristik Null. Alle für die Arithmetik mit diesen Objekten notwendigen Konzepte und Algorithmen finden sich im ersten Kapitel. Einige der zur Bestimmung von Lösungen notwendigen Daten können aus dem Newtonpolygon, einer den Operatoren zugeordneten geometrischen Figur, abgelesen werden. Die Herleitung dieser Zusammenhänge ist das Thema des zweiten Kapitels der Arbeit, wobei dies insbesondere im q-Shift-Fall in dieser Form neu ist. Das dritte Kapitel beschäftigt sich mit der Bestimmung polynomieller und rationaler Lösungen dieser Operatoren, dabei folgt es im Wesentlichen der Darstellung von Mark van Hoeij. Der für die Faktorisierung von (q-)Shift Operatoren interessanteste Fall sind die sogenannten (q-)hypergeometrischen Lösungen, die direkt zu Rechtsfaktoren erster Ordnung korrespondieren. Im vierten Kapitel wird der van Hoeij-Algorithmus vom Shift- auf den q-Shift-Fall übertragen. Außerdem wird eine deutliche Verbesserung des q-Petkovsek-Algorithmus mit Hilfe der Daten des Newtonpolygons hergeleitet. Das fünfte Kapitel widmet sich der Berechnung allgemeiner Faktoren, wozu zunächst der adjungierte Operator eingeführt wird, der die Berechnung von Linksfaktoren erlaubt. Dann wird ein Algorithmus zur Berechnung von Rechtsfaktoren beliebiger Ordnung dargestellt. Für die praktische Benutzung ist dies allerdings für höhere Ordnungen unpraktikabel. Bei fast allen vorgestellten Algorithmen tritt das Lösen linearer Gleichungssysteme über rationalen Funktionenkörpern als Zwischenschritt auf. Dies ist in den meisten Computeralgebrasystemen nicht befriedigend gelöst. Aus diesem Grund wird im letzten Kapitel ein auf Evaluation und Interpolation basierender Algorithmus zur Lösung dieses Problems vorgestellt, der in allen getesteten Systemen den Standard-Algorithmen deutlich überlegen ist. Alle Algorithmen der Arbeit sind in einem MuPAD-Package implementiert, das der Arbeit beiliegt und eine komfortable Handhabung der auftretenden Objekte erlaubt. Mit diesem Paket können in MuPAD nun viele Probleme gelöst werden, für die es vorher keine Funktionen gab.

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DIGE is a protein labelling and separation technique allowing quantitative proteomics of two or more samples by optical fluorescence detection of differentially labelled proteins that are electrophoretically separated on the same gel. DIGE is an alternative to quantitation by MS-based methodologies and can circumvent their analytical limitations in areas such as intact protein analysis, (linear) detection over a wide range of protein abundances and, theoretically, applications where extreme sensitivity is needed. Thus, in quantitative proteomics DIGE is usually complementary to MS-based quantitation and has some distinct advantages. This review describes the basics of DIGE and its unique properties and compares it to MS-based methods in quantitative protein expression analysis.

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A inoculação de forragens com fungos lignocelulolíticos é uma opção para melhorar a qualidade destas sem adição de produtos químicos. O tratamento do substrato influencia a ação do fungo e a qualidade final do produto. Neste experimento, aplicaram-se quatro tratamentos (compostagem do feno inteiro, compostagem do feno picado, hidratação do feno em água fria e hidratação do feno em água quente) a um feno de Brachiaria decumbens. Aos tratamentos seguiu-se inoculação com o fungo Pleurotus ostreatus e incubação por 35 dias, sob temperatura controlada. Usou-se o delineamento inteiramente casualizado, com quatro repetições e medidas repetidas. Amostras foram colhidas semanalmente para acompanhar a degradação do substrato, mediante a análise química do feno. Observou-se aumento linear, com o decorrer do tempo, no teor de proteína bruta (PB) e na proporção de lignina na parede celular (LIG-FDN), e decréscimo linear nos valores de fibra em detergente neutro (FDN), celulose e hemicelulose. Não se observou efeito de tratamento no teor de FDA. Os tratamentos com compostagem apresentaram maiores valores de PB, lignina e LIG-FDN e menores de FDN e hemicelulose. Não se observou diferença entre os tratamentos com hidratação. O tratamento do feno de braquiária com o fungo propiciou degradação da fração fibrosa e aumento no teor de PB, com efeito mais intenso nos tratamentos que usaram compostagem. A ação do fungo foi mais efetiva sobre a hemicelulose que sobre os demais componentes da fibra.

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The electrocatalysis of dopamine has been studied using a cobalt hexacyanoferrate film (CoHCFe)-modified glassy carbon electrode. Using a rotating disk CoHCFe-modified electrode, the reaction rate constant for dopamine was found to be 3.5 x 105 cm(3) mol(-1) s(-1) at a concentration of 5.0 x 10(-5) mol L-1. When a Nafion (R) film is applied to the CoHCFe-modified electrode surface a high selectivity for the determination of dopamine over ascorbic acid was obtained. The analytical curve for dopamine presented linear dependence over the concentration range from 1.2 x 10(-5) to 5.0 x 10(-4) mol L-1 with a slope of 23.5 mA mol(-1) L and a linear correlation coefficient of 0.999. The detection limit of this method was 8.9 x 10(-6) mol L-1 and the relative standard deviation for five measurements of 2.5 x 10(-4) mol L-1 dopamine was 0.58%.

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The problem of dynamic camera calibration considering moving objects in close range environments using straight lines as references is addressed. A mathematical model for the correspondence of a straight line in the object and image spaces is discussed. This model is based on the equivalence between the vector normal to the interpretation plane in the image space and the vector normal to the rotated interpretation plane in the object space. In order to solve the dynamic camera calibration, Kalman Filtering is applied; an iterative process based on the recursive property of the Kalman Filter is defined, using the sequentially estimated camera orientation parameters to feedback the feature extraction process in the image. For the dynamic case, e.g. an image sequence of a moving object, a state prediction and a covariance matrix for the next instant is obtained using the available estimates and the system model. Filtered state estimates can be computed from these predicted estimates using the Kalman Filtering approach and based on the system model parameters with good quality, for each instant of an image sequence. The proposed approach was tested with simulated and real data. Experiments with real data were carried out in a controlled environment, considering a sequence of images of a moving cube in a linear trajectory over a flat surface.

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The University of British Columbia (UBC) began performing piezocone penetration tests (CPTU) with electrical resistivity measurements (RCPTU) in 1989. Since then, RCPTU research at UBC has focused on obtaining geo-environmental parameters such as fluid resistivity and soil engineering properties such as porosity and degree of saturation from measurements of bulk soil electrical resistivity using the empirical relationship proposed by Archie (1942). Within this framework, the paper illustrates and discusses important design and calibration issues for resistivity modules such as the use of isolated circuitry to achieve linear calibrations over large ranges of resistivity. The suitability of RCPTU measurements for determination of geo-environmental and geotechnical parameters are assessed using typical ranges of soil and groundwater properties and methods of isolating individual factors for study are discussed. Illustrative examples of RCPTU research efforts including the environmental characterization of mine tailings, delineation of saline water intrusions in fresh water aquifers and the quality control of geotechnical ground densification are presented throughout the text. It is shown that groundwater temperature and hence ion mobility is not significantly altered by frictional heat generated during piezocone penetration and that ratio-based approaches to monitoring soil porosity can be used to eliminate the requirement for extensive groundwater sampling programs. Lastly, it is shown that RCPTU measurements above the water table can only be made using resistivity modules that are stable over a large range of resistivities and that such measurements are the most difficult to interpret because of grain surface conduction effects and generally unknown fluid resistivities.

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Pós-graduação em Engenharia Civil - FEIS

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Pós-graduação em Zootecnia - FCAV

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In this paper it is proved that hermitian forms over quaternion division algebras over local fields of characteristic two are classified by their dimension and discriminant.

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Topics include: Free groups and presentations; Automorphism groups; Semidirect products; Classification of groups of small order; Normal series: composition, derived, and solvable series; Algebraic field extensions, splitting fields, algebraic closures; Separable algebraic extensions, the Primitive Element Theorem; Inseparability, purely inseparable extensions; Finite fields; Cyclotomic field extensions; Galois theory; Norm and trace maps of an algebraic field extension; Solvability by radicals, Galois' theorem; Transcendence degree; Rings and modules: Examples and basic properties; Exact sequences, split short exact sequences; Free modules, projective modules; Localization of (commutative) rings and modules; The prime spectrum of a ring; Nakayama's lemma; Basic category theory; The Hom functors; Tensor products, adjointness; Left/right Noetherian and Artinian modules; Composition series, the Jordan-Holder Theorem; Semisimple rings; The Artin-Wedderburn Theorem; The Density Theorem; The Jacobson radical; Artinian rings; von Neumann regular rings; Wedderburn's theorem on finite division rings; Group representations, character theory; Integral ring extensions; Burnside's paqb Theorem; Injective modules.