Algebraic Geometric Codes and their relation to Cryptography using Elliptic Curves

Communication is the process of transmitting data across channel. Whenever data is transmitted across a channel, errors are likely to occur. Coding theory is a stream of science that deals with finding efficient ways to encode and decode data, so that any likely errors can be detected and corrected. There are many methods to achieve coding and decoding. One among them is Algebraic Geometric Codes that can be constructed from curves. Cryptography is the science ol‘ security of transmitting messages from a sender to a receiver. The objective is to encrypt message in such a way that an eavesdropper would not be able to read it. A eryptosystem is a set of algorithms for encrypting and decrypting for the purpose of the process of encryption and decryption. Public key eryptosystem such as RSA and DSS are traditionally being prel‘en‘ec| for the purpose of secure communication through the channel. llowever Elliptic Curve eryptosystem have become a viable altemative since they provide greater security and also because of their usage of key of smaller length compared to other existing crypto systems. Elliptic curve cryptography is based on group of points on an elliptic curve over a finite field. This thesis deals with Algebraic Geometric codes and their relation to Cryptography using elliptic curves. Here Goppa codes are used and the curves used are elliptic curve over a finite field. We are relating Algebraic Geometric code to Cryptography by developing a cryptographic algorithm, which includes the process of encryption and decryption of messages. We are making use of fundamental properties of Elliptic curve cryptography for generating the algorithm and is used here to relate both.

SST–convection relation over tropical oceans

According to current knowledge, convection over the tropical oceans increases with sea surface temperature (SST) from 26 to 29 °C, and at SSTs above 29 °C, it sharply decreases. Our research shows that it is only over the summer warm pool areas of Indian and west Pacific Oceans (monsoon areas) where the zone of maximum SST is away from the equator that this kind of SST-convection relationship exists. In these areas (1) convection is related to the SST gradient that generates low-level moisture convergence and upward vertical motion in the atmosphere. This has modelling support. Regions of SST maxima have low SST gradients and therefore feeble convection. (2) Convection initiated by SST gradient produces strong wind fields particularly cross-equatorial low-level jetstreams (LLJs) on the equator-ward side of the warm pool and both the convection and LLJ grow through a positive feedback process. Thus, large values of convection are associated with the cyclonic vorticity of the LLJ in the atmospheric boundary layer. In the inter-tropical convergence zone (ITCZ) over the east Pacific Ocean and the south Pacific convergence zone (SPCZ) over the west Pacific Ocean, low-level winds from north and south hemisphere converge in the zone of maximum SST, which lies close to the equator producing there elongated bands of deep convection, where we find that convection increases with SST for the full range of SSTs unlike in the warm pool regions. The low-level wind divergence computed using QuikSCAT winds has large and significant linear correlation with convection in both the warm pool and ITCZ/SPCZ areas. But the linear correlation between SST and convection is large only for the ITCZ/SPCZ. These findings have important implications for the modelling of largescale atmospheric circulations and the associated convective rainfall over the tropical oceans

Studies On The Dynamics And Water Quality Of The Muvattupuzha River In Relation To Effluent Discharge

The present study aims at the investigation of the 1ysico—chemical features of a tropical tidal river viz. we Muvattupuzha river. This river is expected to receive Jderate to heavy pollution loads in years to come, from we lone industrial unit, already set up on its bank. ilike other rivers, the geographical disposition of this Lver attains unique importance as regards its dynamics for 3) availability of natural runoff water from catchment :eas, which becomes very heavy during the monsoon season 3) regular steady availability of tail race water from a /dro—electric power station throughout the yearThe study also aims at arriving at the balancing forces of inherent self~purification of the river verses pollution loads from the factory effluents. The investigation period falls ahead of actual pollution occurrence and so the ambient conditions for a period of nearly one-and-a—half years were investigated, the analyses of which providflz to formulate the inter-relations of parameters varying with seasons. Tracer experiments were carried out which revealed the dispersion and dilution characteristics of the river in the vicinity of effluent outfall. The studv covers the trial—cum-capacity production periods of the factory during which effluents of various strength and quantity were discharged into the river; a few computed values arQ’cjmpgrQdl ... with the observed values. The base data along with the profiles of Oxygen sag equation have been utilized fb develop a mathematical model of the river with regard to its water quality

Changes in Biochemical Composition in Indian Major Carps in Relation to size

Total biochemical composition of freshwater major carps, Labeo rohita -(r9hu); Catla catla (catla); Cirrltinus tnrigala (mrigal), in relation to size was evaluated . The water soluble nitrogen fraction constituted about 21% of the tota l nitro gen . Salt so luble fraction constituted 55 - 60% of the total nitrogen. Non-protein nitrogen represented 12% of the total nit rogen in all the cases except mri gal of small size (9.36%). The insoluble connec tive tissu e contributed to 2-3 per cent of tota l nitrogen . The monounsaturated fatty acid s (MUFA) formed 31-39% of the total fatty acids and 60-68% of the MUFA in freshwat er carps was CI 8:1. The esse ntial amino acids contributed to 41 to 51% of the total amino acid s in freshwater major carps. Arom atic amino acid content was sligh tly higher compared to marine fishe s while the proportion of proline was less. Varia tions in compos ition in rela tion to size are discu ssed . The autolytic activi ty was significantly higher in small fish in all the three species

Macrobenthos And Its Relation To Ecosystem Dynamics In The Cochin Estuary

Cochin estuary is a shallow brackish water body situated on the south west coast of India. It is a tropical positive estuary extending between 90 40’ and 100 12’ N and 760 10’and 760 30’ E with its northern boundary at Azhikode and southern boundary at Thannermukkom bund.The abundance of benthic fauna in an ecosystem shows the close relationship to its environment and reflects the characteristics of an ecological niche. Seasonal and monthly variations in the distribution of macrobenthos in relation to sediment characteristics were conducted in Cochin estuary from 2009-10 periods. Oxidation-reduction potential showed reducing trends that affected the distribution and diversity of fauna. Seasonal variations in water quality and river discharge pattern affected the faunal composition in the different stations. Sewage mixing was the principal source of organic pollution in the Cochin estuary. The sediment pH was generally on the alkaline side ranging from 4.99 at St.9 and 8.33 at St.1.The Eh ranged from -11mV at St.3 to -625mV at St.2.The temperature varied from 260C to 320C in the estuary. The moisture content ranged from 1.63 to 12.155%, that of organic carbon from 0 09 at St. 6 to 4.29% at St.9 and that of organic matter from 0.16 to 7.39%. Seasonally, the average of Eh was highest during the monsoon (156.22 mV) and in the pre monsoon (140.94 mV). The average pH for the 9 study stations was 7.68 during monsoon period and 7.08 during post monsoon. Based on group wise seasonal analysis, the average mean abundance was maximum for polychaetes (43.47) followed by nematodes (33.62), crustaceans (21.62), molluscs (11.94) and Pisces (0.05) in the estuary. Monsoon season was most favourable for benthic faunal abundance followed by the post monsoon period in the study. The series of human interventions like dredging, discharge of industrial effluents, urbanisation and related aspects had a strong influence on the distribution, abundance of benthic macrofauna in the wetland.

SHGs and Cooperatives in the Fishing Sector: An Inclusive Development Option for the Fisher folk of Kerala

The Kerala model of development mostly bypassed the fishing community, as the fishers form the main miserable groups with respect to many of the socio-economic and quality of life indicators. Modernization drive in the fishing sector paradoxically turns to marginalization drives as far as the traditional fishers in Kerala are concerned. Subsequent management and resource recuperation drives too seemed to be detrimental to the local fishing community. Though SHGs and cooperatives had helped in overcoming many of the maladies in most of the sectors in Kerala in terms of livelihood and employment in the 1980s, the fishing sector by that time had been moving ahead with mechanization and export euphoria and hence it bypassed the fishing sector. Though it has not helped the fishing sector in the initial stages, but because of necessity, it soon has become a vibrant livelihood and employment force in the coastal economy of Kerala. Initial success made it to link this with the governmental cooperative set up and soon SHGs and Cooperatives become reinforcing forces for the inclusive development of the real fishers.The fisheries sector in Kerala has undergone drastic changes with the advent of globalised economy. The traditional fisher folk are one of the most marginalized communities in the state and are left out of the overall development process mainly due to the marginalization of this community both in the sea and in the market due to modernization and mechanization of the sector. Mechanization opened up the sector a great deal as it began to attract people belonging to non-fishing community as moneylenders, boat owners, employers and middle men which often resulted in conflicts between traditional and mechanized fishermen. These factors, together with resource depletion resulted in the backwardness experienced by the traditional fishermen compared to other communities who were reaping the benefits of the overall development scenario.The studies detailing the activities and achievements of fisher folks via Self Help Groups (SHGs) and the cooperative movement in coastal Kerala are scant. The SHGs through cooperatives have been effective in livelihood security, poverty alleviation and inclusive development of the fisher folk (Rajasenan and Rajeev, 2012). The SHGs have a greater role to play as estimated fall in demand for marine products in international markets, which may result in reduction of employment opportunities in fish processing, peeling, etc. Also, technological advancement has made them unskilled to work in this sector making them outliers in the overall development process resulting in poor quality of physical and social infrastructure. Hence, it is all the more important to derive a strategy and best practice methods for the effective functioning of these SHGs so that the

Some New Classes of Orthogonal Polynomials and Special Functions

In dieser Dissertation präsentieren wir zunächst eine Verallgemeinerung der üblichen Sturm-Liouville-Probleme mit symmetrischen Lösungen und erklären eine umfassendere Klasse. Dann führen wir einige neue Klassen orthogonaler Polynome und spezieller Funktionen ein, welche sich aus dieser symmetrischen Verallgemeinerung ableiten lassen. Als eine spezielle Konsequenz dieser Verallgemeinerung führen wir ein Polynomsystem mit vier freien Parametern ein und zeigen, dass in diesem System fast alle klassischen symmetrischen orthogonalen Polynome wie die Legendrepolynome, die Chebyshevpolynome erster und zweiter Art, die Gegenbauerpolynome, die verallgemeinerten Gegenbauerpolynome, die Hermitepolynome, die verallgemeinerten Hermitepolynome und zwei weitere neue endliche Systeme orthogonaler Polynome enthalten sind. All diese Polynome können direkt durch das neu eingeführte System ausgedrückt werden. Ferner bestimmen wir alle Standardeigenschaften des neuen Systems, insbesondere eine explizite Darstellung, eine Differentialgleichung zweiter Ordnung, eine generische Orthogonalitätsbeziehung sowie eine generische Dreitermrekursion. Außerdem benutzen wir diese Erweiterung, um die assoziierten Legendrefunktionen, welche viele Anwendungen in Physik und Ingenieurwissenschaften haben, zu verallgemeinern, und wir zeigen, dass diese Verallgemeinerung Orthogonalitätseigenschaft und -intervall erhält. In einem weiteren Kapitel der Dissertation studieren wir detailliert die Standardeigenschaften endlicher orthogonaler Polynomsysteme, welche sich aus der üblichen Sturm-Liouville-Theorie ergeben und wir zeigen, dass sie orthogonal bezüglich der Fisherschen F-Verteilung, der inversen Gammaverteilung und der verallgemeinerten t-Verteilung sind. Im nächsten Abschnitt der Dissertation betrachten wir eine vierparametrige Verallgemeinerung der Studentschen t-Verteilung. Wir zeigen, dass diese Verteilung gegen die Normalverteilung konvergiert, wenn die Anzahl der Stichprobe gegen Unendlich strebt. Eine ähnliche Verallgemeinerung der Fisherschen F-Verteilung konvergiert gegen die chi-Quadrat-Verteilung. Ferner führen wir im letzten Abschnitt der Dissertation einige neue Folgen spezieller Funktionen ein, welche Anwendungen bei der Lösung in Kugelkoordinaten der klassischen Potentialgleichung, der Wärmeleitungsgleichung und der Wellengleichung haben. Schließlich erklären wir zwei neue Klassen rationaler orthogonaler hypergeometrischer Funktionen, und wir zeigen unter Benutzung der Fouriertransformation und der Parsevalschen Gleichung, dass es sich um endliche Orthogonalsysteme mit Gewichtsfunktionen vom Gammatyp handelt.

Translation Invariance in Object Recognition, and Its Relation to Other Visual Transformations

Human object recognition is generally considered to tolerate changes of the stimulus position in the visual field. A number of recent studies, however, have cast doubt on the completeness of translation invariance. In a new series of experiments we tried to investigate whether positional specificity of short-term memory is a general property of visual perception. We tested same/different discrimination of computer graphics models that were displayed at the same or at different locations of the visual field, and found complete translation invariance, regardless of the similarity of the animals and irrespective of direction and size of the displacement (Exp. 1 and 2). Decisions were strongly biased towards same decisions if stimuli appeared at a constant location, while after translation subjects displayed a tendency towards different decisions. Even if the spatial order of animal limbs was randomized ("scrambled animals"), no deteriorating effect of shifts in the field of view could be detected (Exp. 3). However, if the influence of single features was reduced (Exp. 4 and 5) small but significant effects of translation could be obtained. Under conditions that do not reveal an influence of translation, rotation in depth strongly interferes with recognition (Exp. 6). Changes of stimulus size did not reduce performance (Exp. 7). Tolerance to these object transformations seems to rely on different brain mechanisms, with translation and scale invariance being achieved in principle, while rotation invariance is not.

Attention, memory and verbal learning and their relation to schizotypal traits in unaffected parents of schizophrenic patients

The main objective of this ex post facto study is to compare the differences in cognitive functions and their relation to schizotypal personality traits between a group of unaffected parents of schizophrenic patients and a control group. A total of 52 unaffected biological parents of schizophrenic patients and 52 unaffected parents of unaffected subjects were assessed in measures of attention (Continuous Performance Test- Identical Pairs Version, CPT-IP), memory and verbal learning (California Verbal Learning Test, CVLT) as well as schizotypal personality traits (Oxford-Liverpool Inventory of Feelings and Experiences, O-LIFE). The parents of the patients with schizophrenia differ from the parents of the control group in omission errors on the Continuous Performance Test- Identical Pairs, on a measure of recall and on two contrast measures of the California Verbal Learning Test. The associations between neuropsychological variables and schizotpyal traits are of a low magnitude. There is no defined pattern of the relationship between cognitive measures and schizotypal traits

It will be succesful to have a commercial relation between France and Colombia focus on the milk sector ?

Globalization has led to a drastic change on the international trade, this has caused that many countries such as France and Colombia find new business partners. This is the raison because I develop the investigation about How these countries can be integrated commercially in the dairy sector? Colombia and France had active trade relations for more than 8 years, but this has been declining for several factors. In the case of France, it has found that Germany is an excellent producer of raw milk, which can supply domestic demand and can export large quantities with a low price to European countries because of its proximity. For this reason, Colombia is a country that can not compete with Germany directly in raw milk, but I concluded that Colombia could become a major competitor with organic milk. This is the result of a research of the way they raise and feed the cows in the two countries, Colombia is generally on open country and Germany is on cow housing. In Colombia, the country found that Venezuela could offer many benefits in the processing of raw milk, and other processes that require high technology. But today Colombia has had several disputes with Venezuela and many Colombian companies are affected in this sector. Additionally, France is one of the largest producers and distributors of processed milk and its derivatives; it launches annually many manufactured products with high technology. At this point, Colombia can take out the best advantage because it can create an strategic alliance with French companies to bring most innovative and processed products such as cheese and yoghurts. The theoretical framework of this thesis consists on the analysis of competitiveness, because it is relevant to see if these two countries are competitive or if one has the comparative advantage over the other. The related authors are: Michael Porter, Adam Smith and David Ricardo. To complete the theoretical part, we found that France has a comparative advantage over Colombia in this sector thanks to its high technology, and Colombia is not currently competitive in the area of raw milk because the milk price is higher and the distance is a barrier, and it has no technology. But this research indicates that Colombia could become a competitive country selling organic milk.

Complicaciones de la preeclampsia severa y su relación con variables demográficas y obstétricas

Introducción: La preeclampsia severa es una de las principales patologías que afectan a las mujeres embarazadas, sus complicaciones tienen un alto impacto en la salud del binomio madre-hijo. Materiales y métodos: Se realizo una serie de casos, durante un periodo de 1 año se revisaron las historias clínicas de las pacientes que ingresaron a la unidad de cuidado intensivo obstétrico de la Clínica Orquídeas, con diagnóstico de preeclampsia severa. Se describieron los datos demográficos y las complicaciones. Se realizó análisis univariado con las variables de interés y se calcularon diferencias significativas por medio del test exacto de Fisher. Resultados: Se registraron 196 pacientes con preeclampsia severa en el periodo de estudio. Las complicaciones mas frecuentes fueron síndrome HELLP (30,6%), insuficiencia renal aguda (16,3%) y edema pulmonar (10,2%); el ingreso de las pacientes con preeclampsia severa a la UCIO en embarazo aumenta el riesgo de sufrir complicaciones. El síndrome de HELLP se presento con mayor frecuencia en pacientes que realizaron 6 o mas controles prenatales (p=0.066). Discusión: Los resultados evidencian una prevalencia de preeclampsia severa mayor que la observada por otros autores, probablemente por ser una UCI exclusivamente obstétrica. Las complicaciones mas frecuentes son concordantes con otros estudios publicados. El mayor riesgo de complicaciones asociadas en pacientes que ingresan embarazadas a la UCIO podría estar en relación a la severidad de la patología. Se requieren estudios analíticos para establecer asociaciones entre cada una de las complicaciones y sus factores condicionantes.

Escuela integral de desarrollo de liderazgo (EIDL) para el colegio Montessori

El propósito de este trabajo es plantear el desarrollo de una escuela de liderazgo para jóvenes preadolescentes y adolescentes del Colegio Montessori, institución de carácter privado, con sede en Medellín. El colegio está centrado en el planteamiento de un proyecto en la temática del liderazgo escolar, a partir del diseño de un programa de desarrollo de liderazgo para jóvenes del Colegio Montessori de Medellín, teniendo en cuenta los elementos conceptuales, procedimentales y estratégicos como ejes de su configuración. En ese sentido, el trabajo esbozará condiciones que permitan visualizar y estimar la implementación y oferta de un programa de capacitación, orientación y desarrollo de habilidades, actitudes y destrezas en liderazgo como complemento académico y extracurricular, tendiente a la formación de ciudadanos y empresarios del mañana, que haga de los jóvenes personas más competitivas en su entorno personal, familiar, social y empresarial dentro de su proyecto profesional y que, por consiguiente, contribuya de manera directa en el mejoramiento de su calidad de vida, la de sus familias y la de su grupo de coetáneos. A partir de ello se puede analizar que las generaciones en proceso de desarrollo requieren una intervención inicial que dé respuesta a las necesidades políticas, sociales, culturales y empresariales que, en materia de liderazgo, se enfrentan en la actualidad.

PPP, UIP and Fisher parity: speculation or rational expectations? Evidence for four Latin American countries

This work aims to test the equilibrium relations of two international macroeconomics models for Colombia, Chile, Mexico and Brazil. The first model is the rational expectation hypothesis (REH) where three key relations will be tested: Purchasing Power Parity (PPP), Uncovered Interest Rate Parity (UIP) and the Fisher Parity condition. The second model follows the line of though of Imperfect Knowledge Economics (IKE) where two equilibrium relations will be tested. According to IKE, even under the assumption that agents are rational, the presence of speculative behavior in financial markets helps explain the long swings often observed in the behavior of exchange rates. The results support the view that the predictions of the IKE model hold for Colombia, while those of the REH hold for both Brazil and Mexico. Mixed findings are obtained for Chile.

Índice de pulsatilidad de arteria cerebral media como predictor para desenlaces desfavorables en fetos pequeños para la edad gestacional

Introducción: La aparición de vasodilatación aislada de la arteria cerebral media en fetos pequeños para la edad gestacional sin otros cambios en el doppler puede interpretarse como fisiológica o podría ser la manifestación inicial de una restricción de crecimiento intrauterino de inicio tardío. Se pretende evaluar la asociación de la disminución del índice de pulsatibilidad de la arteria cerebral media, como predictor de desenlaces perinatales adversos, en fetos con bajo peso para edad gestacional. Metodología: Se realizó un estudio de cohorte analítica de temporalidad histórica para determinar si el hallazgo de disminución de la pulsatibilidad en el doppler de arteria cerebral media se asocia con el pronóstico perinatal adverso, en fetos pequeños para edad gestacional mediante un muestreo no probabilístico. Resultados: Se recolectaron un total de 325 flujometría doppler de fetos pequeños para edad gestacional. El riesgo de parto pretérmino fue RR 2.6 IC95% 1.6-4.1, de hospitalización fue RR 1.4 IC95%1.1-1.9 y de muerte fue 2.1 IC95%1.5-3.2 cuando hay índice de pulsatilidad alterada en la arteria cerebral media. La regresión logística mostró que el riesgo de desenlaces desfavorables con alteraciones en la arteria cerebral media fue de RR 4.2 IC95% 2.5-7.1 ajustado por edad materna, edad gestacional y bajo peso al nacer. Discusión Los pacientes expuestos presentan mayor riesgo de desenlaces desfavorables con diferencias significativas, no así en otros estudios publicados. El presente estudio muestra asociaciones significativas que debe ser evaluada con estudios más amplios.