Vector Boolean Functions: Applications in Symmetric Cryptography

Esta tesis establece los fundamentos teóricos y diseña una colección abierta de clases C++ denominada VBF (Vector Boolean Functions) para analizar funciones booleanas vectoriales (funciones que asocian un vector booleano a otro vector booleano) desde una perspectiva criptográfica. Esta nueva implementación emplea la librería NTL de Victor Shoup, incorporando nuevos módulos que complementan a las funciones de NTL, adecuándolas para el análisis criptográfico. La clase fundamental que representa una función booleana vectorial se puede inicializar de manera muy flexible mediante diferentes estructuras de datas tales como la Tabla de verdad, la Representación de traza y la Forma algebraica normal entre otras. De esta manera VBF permite evaluar los criterios criptográficos más relevantes de los algoritmos de cifra en bloque y de stream, así como funciones hash: por ejemplo, proporciona la no-linealidad, la distancia lineal, el grado algebraico, las estructuras lineales, la distribución de frecuencias de los valores absolutos del espectro Walsh o del espectro de autocorrelación, entre otros criterios. Adicionalmente, VBF puede llevar a cabo operaciones entre funciones booleanas vectoriales tales como la comprobación de igualdad, la composición, la inversión, la suma, la suma directa, el bricklayering (aplicación paralela de funciones booleanas vectoriales como la empleada en el algoritmo de cifra Rijndael), y la adición de funciones coordenada. La tesis también muestra el empleo de la librería VBF en dos aplicaciones prácticas. Por un lado, se han analizado las características más relevantes de los sistemas de cifra en bloque. Por otro lado, combinando VBF con algoritmos de optimización, se han diseñado funciones booleanas cuyas propiedades criptográficas son las mejores conocidas hasta la fecha. ABSTRACT This thesis develops the theoretical foundations and designs an open collection of C++ classes, called VBF, designed for analyzing vector Boolean functions (functions that map a Boolean vector to another Boolean vector) from a cryptographic perspective. This new implementation uses the NTL library from Victor Shoup, adding new modules which complement the existing ones making VBF better suited for cryptography. The fundamental class representing a vector Boolean function can be initialized in a flexible way via several alternative types of data structures such as Truth Table, Trace Representation, Algebraic Normal Form (ANF) among others. This way, VBF allows the evaluation of the most relevant cryptographic criteria for block and stream ciphers as well as for hash functions: for instance, it provides the nonlinearity, the linearity distance, the algebraic degree, the linear structures, the frequency distribution of the absolute values of the Walsh Spectrum or the Autocorrelation Spectrum, among others. In addition, VBF can perform operations such as equality testing, composition, inversion, sum, direct sum, bricklayering (parallel application of vector Boolean functions as employed in Rijndael cipher), and adding coordinate functions of two vector Boolean functions. This thesis also illustrates the use of VBF in two practical applications. On the one hand, the most relevant properties of the existing block ciphers have been analysed. On the other hand, by combining VBF with optimization algorithms, new Boolean functions have been designed which have the best known cryptographic properties up-to-date.

Autogestor de contenidos dinámico (ACD)

Este proyecto se centra en la construcción de una herramienta para la gestión de contenidos de muy diversos tipos, siendo fácilmente adaptable a cada uno de los contextos. Permite guardar los contenidos necesarios gracias a un formulario previamente personalizado, de este modo hay un editor que se dedica solamente a la introducción de los contenidos y un administrador que personaliza los campos del formulario según los contenidos. En esencia la herramienta sirve de apoyo a dos tipos de usuario, desarrolladores (administrador) y redactores (editor), a los primeros les simplifica las tareas de conceptualización de las estructuras de datos de las que se desea tener persistencia y sirve como base para construir los editores que usan los redactores, por otro lado proporciona un API sencillo, potente y ágil para recuperar los datos introducidos por los redactores. La herramienta a su vez está pensada para ser interoperable, es decir, no obliga a usar un tipo de almacenamiento persistente concreto. Puede utilizar desde los sencillos archivos de texto, con lo que puede desplegarse en servidores treméndamente básicos. Por otro lado, si se necesita potencia en las búsquedas, nada debe impedir el uso de bases de datos relacionales como MySql. O incluso si se quiere dar un paso más y se quiere aprovechar la flexibilidad, potencia y maleabilidad de las bases de datos NoSql (como MongoDB) no es costoso, lo que hay que hacer es implementar una nueva clase de tipo PersistentManager y desarrollar los tipos de búsqueda y recuperación de contenidos que se necesiten. En la versión inicial de la herramienta se han implementado estos tres tipos de almacenes, nada impide usar sólo alguno de ellos y desechar el resto o implementar uno nuevo. Desde el punto de vista de los redactores, les ofrece un entorno sencillo y potente para poder realizar las tareas típicas denominadas CRUD (Create Read Update Delete, Crear Leer Actualizar y Borrar), un redactor podrá crear, buscar, re-aprovechar e incluso planificar publicación de contenidos en el tiempo. ABSTRACT This project focuses on building a tool for content management of many types, being easily adaptable to each context. Saves the necessary content through a previously designed form, thus there will be an editor working only on the introduction of the contents and there will be an administrator to customize the form fields as contents. Essentially the tool provides support for two types of users, developers (administrator) and editors, the first will have simplified the tasks of conceptualization of data structures which are desired to be persistent and serve as the basis for building the structures that will be used by editors, on the other hand provides a simple, powerful and agile API to retrieve the data entered by the editors. The tool must also be designed to be interoperable, which means not to be bound by the use of a particular type of persistent storage. You can use simple text files, which can be deployed in extremely basic servers. On the other hand, if power is needed in searches, nothing should prevent the use of relational databases such as MySQL. Or even if you want to go a step further and want to take advantage of the flexibility, power and malleability of NoSQL databases (such as MongoDB) it will not be difficult, you will only need to implement a new class of PersistentManager type and develop the type of search and query of content as needed. In the initial version of the tool these three types of storage have been implemented, it will be entitled to use only one of them and discard the rest or implement a new one. From the point of view of the editors, it offers a simple and powerful environment to perform the typical tasks called CRUD (Create Read Update Delete), an editor can create, search, re-use and even plan publishing content in time.

Optimizing communication by compression for Multi-GPU Scalable Breadth-First Searches

Debido al creciente aumento del tamaño de los datos en muchos de los actuales sistemas de información, muchos de los algoritmos de recorrido de estas estructuras pierden rendimento para realizar búsquedas en estos. Debido a que la representacion de estos datos en muchos casos se realiza mediante estructuras nodo-vertice (Grafos), en el año 2009 se creó el reto Graph500. Con anterioridad, otros retos como Top500 servían para medir el rendimiento en base a la capacidad de cálculo de los sistemas, mediante tests LINPACK. En caso de Graph500 la medicion se realiza mediante la ejecución de un algoritmo de recorrido en anchura de grafos (BFS en inglés) aplicada a Grafos. El algoritmo BFS es uno de los pilares de otros muchos algoritmos utilizados en grafos como SSSP, shortest path o Betweeness centrality. Una mejora en este ayudaría a la mejora de los otros que lo utilizan. Analisis del Problema El algoritmos BFS utilizado en los sistemas de computación de alto rendimiento (HPC en ingles) es usualmente una version para sistemas distribuidos del algoritmo secuencial original. En esta versión distribuida se inicia la ejecución realizando un particionado del grafo y posteriormente cada uno de los procesadores distribuidos computará una parte y distribuirá sus resultados a los demás sistemas. Debido a que la diferencia de velocidad entre el procesamiento en cada uno de estos nodos y la transfencia de datos por la red de interconexión es muy alta (estando en desventaja la red de interconexion) han sido bastantes las aproximaciones tomadas para reducir la perdida de rendimiento al realizar transferencias. Respecto al particionado inicial del grafo, el enfoque tradicional (llamado 1D-partitioned graph en ingles) consiste en asignar a cada nodo unos vertices fijos que él procesará. Para disminuir el tráfico de datos se propuso otro particionado (2D) en el cual la distribución se haciá en base a las aristas del grafo, en vez de a los vertices. Este particionado reducía el trafico en la red en una proporcion O(NxM) a O(log(N)). Si bien han habido otros enfoques para reducir la transferecnia como: reordemaniento inicial de los vertices para añadir localidad en los nodos, o particionados dinámicos, el enfoque que se va a proponer en este trabajo va a consistir en aplicar técnicas recientes de compression de grandes sistemas de datos como Bases de datos de alto volume o motores de búsqueda en internet para comprimir los datos de las transferencias entre nodos.---ABSTRACT---The Breadth First Search (BFS) algorithm is the foundation and building block of many higher graph-based operations such as spanning trees, shortest paths and betweenness centrality. The importance of this algorithm increases each day due to it is a key requirement for many data structures which are becoming popular nowadays. These data structures turn out to be internally graph structures. When the BFS algorithm is parallelized and the data is distributed into several processors, some research shows a performance limitation introduced by the interconnection network [31]. Hence, improvements on the area of communications may benefit the global performance in this key algorithm. In this work it is presented an alternative compression mechanism. It differs with current existing methods in that it is aware of characteristics of the data which may benefit the compression. Apart from this, we will perform a other test to see how this algorithm (in a dis- tributed scenario) benefits from traditional instruction-based optimizations. Last, we will review the current supercomputing techniques and the related work being done in the area.

Sistema colaborativo de detección y seguimiento de anomalías mediante visión por computador

En este proyecto se realiza el diseño e implementación de un sistema que detecta anomalías en las entradas de entornos controlados. Para ello, se hace uso de las últimas técnicas en visión por computador y se avisa visual y auditivamente, mediante un sistema hardware que recibe señales del ordenador al que está conectado. Se marca y fotografía, a una o varias personas, que cometen una infracción en las entradas de un establecimiento, vigilado con sistemas de vídeo. Las imágenes se almacenan en las carpetas correspondientes. El sistema diseñado es colaborativo, por lo tanto, las cámaras que intervienen, se comunican entre ellas a través de estructuras de datos con el objetivo de intercambiar información. Además, se utiliza conexión inalámbrica desde un dispositivo móvil para obtener una visión global del entorno desde cualquier lugar del mundo. La aplicación se desarrolla en el entorno MATLAB, que permite un tratamiento de la señal de imagen apropiado para el presente proyecto. Asimismo, se proporciona al usuario una interfaz gráfica con la que interactuar de manera sencilla, evitando así, el cambio de parámetros en la estructura interna del programa cuando se quiere variar el entorno o el tipo de adquisición de datos. El lenguaje que se escoge facilita la ejecución en distintos sistemas operativos, incluyendo Windows o iOS y, de esta manera, se proporciona flexibilidad. ABSTRACT. This project studies the design and implementation of a system that detects any anomalies on the entrances to controlled environments. To this end, it is necessary the use of last techniques in computer vision in order to notify visually and aurally, by a hardware system which receives signs from the computer it is connected to. One or more people that commit an infringement while entering into a secured environment, with video systems, are marked and photographed and those images are stored in their belonging file folder. This is a collaborative design system, therefore, every involved camera communicates among themselves through data structures with the purpose of exchanging information. Furthermore, to obtain a global environment vision from any place in the world it uses a mobile wireless connection. The application is developed in MATLAB environment because it allows an appropriate treatment of the image signal for this project. In addition, the user is given a graphical interface to easily interact, avoiding with this, changing any parameters on the program’s intern structure, when it requires modifying the environment or the data type acquisition. The chosen language eases its execution in different operating systems, including Windows or iOS, providing flexibility.

Deterministic mathematical morphology for CAD/CAM

Purpose – The purpose of this paper is to present a new geometric model based on the mathematical morphology paradigm, specialized to provide determinism to the classic morphological operations. The determinism is needed to model dynamic processes that require an order of application, as is the case for designing and manufacturing objects in CAD/CAM environments. Design/methodology/approach – The basic trajectory-based operation is the basis of the proposed morphological specialization. This operation allows the definition of morphological operators that obtain sequentially ordered sets of points from the boundary of the target objects, inexistent determinism in the classical morphological paradigm. From this basic operation, the complete set of morphological operators is redefined, incorporating the concept of boundary and determinism: trajectory-based erosion and dilation, and other morphological filtering operations. Findings – This new morphological framework allows the definition of complex three-dimensional objects, providing arithmetical support to generating machining trajectories, one of the most complex problems currently occurring in CAD/CAM. Originality/value – The model proposes the integration of the processes of design and manufacture, so that it avoids the problems of accuracy and integrity that present other classic geometric models that divide these processes in two phases. Furthermore, the morphological operative is based on points sets, so the geometric data structures and the operations are intrinsically simple and efficient. Another important value that no excessive computational resources are needed, because only the points in the boundary are processed.

Notes on AVL trees /

"Written as supplementary material for a course in data structures given by the Dept. of Computer Science of the University of Illinois at Urbana-Champaign, during the second semester of the 1970-71 academic year"--Leaf 1.

Privacy in the Smart City: Implications of Sensor Network Design, Law, and Policy for Locational Privacy

Thesis (Master's)--University of Washington, 2016-06

Direct mesh: A multiresolution approach to terrain visualization

Terrain can be approximated by a triangular mesh consisting millions of 3D points. Multiresolution triangular mesh (MTM) structures are designed to support applications that use terrain data at variable levels of detail (LOD). Typically, an MTM adopts a tree structure where a parent node represents a lower-resolution approximation of its descendants. Given a region of interest (ROI) and a LOD, the process of retrieving the required terrain data from the database is to traverse the MTM tree from the root to reach all the nodes satisfying the ROI and LOD conditions. This process, while being commonly used for multiresolution terrain visualization, is inefficient as either a large number of sequential I/O operations or fetching a large amount of extraneous data is incurred. Various spatial indexes have been proposed in the past to address this problem, however level-by-level tree traversal remains a common practice in order to obtain topological information among the retrieved terrain data. A new MTM data structure called direct mesh is proposed. We demonstrate that with direct mesh the amount of data retrieval can be substantially reduced. Comparing with existing MTM indexing methods, a significant performance improvement has been observed for real-life terrain data.

Obstacles to a totally functional programming style

"Totally functional programming" (TFP) advocates the complete replacement of symbolic representations for data by functions. TFP is motivated by observations from practice in language extensibility and functional programming. Its technical essence extends the role of "fold" functions in structuring functional programs to include methods that make comparisons on elements of data structures. The obstacles that currently prevent the immediate uptake of TFP as a style within functional programming equally indicate future research directions in the areas of theoretical foundations, supporting technical infrastructure, demonstrated practical applicability, and relationship to OOP.

Computer-aided programming using formally specificed design templates

This paper describes a formal component language, used to support automated component-based program development. The components, referred to as templates, are machine processable, meaning that appropriate tool support, such as retrieval support, can be developed. The templates are highly adaptable, meaning that they can be applied to a wide range of problems. Some of the main features of the language are described, including: higher-order parameters; state variable declarations; specification statements and conditionals; applicability conditions and theories; meta-level place holders; and abstract data structures.

Formal verification of type flaw attacks in security protocols

Security protocols are often modelled at a high level of abstraction, potentially overlooking implementation-dependent vulnerabilities. Here we use the Z specification language's rich set of data structures to formally model potentially ambiguous messages that may be exploited in a 'type flaw' attack. We then show how to formally verify whether or not such an attack is actually possible in a particular protocol using Z's schema calculus.

Formal verification of ASM designs using the MDG tool

In this paper, we present a formal hardware verification framework linking ASM with MDG. ASM (Abstract State Machine) is a state based language for describing transition systems. MDG (Multiway Decision Graphs) provides symbolic representation of transition systems with support of abstract sorts and functions. We implemented a transformation tool that automatically generates MDG models from ASM specifications, then formal verification techniques provided by the MDG tool, such as model checking or equivalence checking, can be applied on the generated models. We support this work with a case study of an Island Tunnel Controller, which behavior and structure were specified in ASM then using our ASM-MDG tool successfully verified within the MDG tool.

Web wrapper validation

Web wrapper extracts data from HTML document. The accuracy and quality of the information extracted by web wrapper relies on the structure of the HTML document. If an HTML document is changed, the web wrapper may or may not function correctly. This paper presents an Adjacency-Weight method to be used in the web wrapper extraction process or in a wrapper self-maintenance mechanism to validate web wrappers. The algorithm and data structures are illustrated by some intuitive examples.

Multilevel analyses in marketing research:differentiating analytical outcomes

Marketing scholars are increasingly recognizing the importance of investigating phenomena at multiple levels. However, the analyses methods that are currently dominant within marketing may not be appropriate to dealing with multilevel or nested data structures. We identify the state of contemporary multilevel marketing research, finding that typical empirical approaches within marketing research may be less effective at explicitly taking account of multilevel data structures than those in other organizational disciplines. A Monte Carlo simulation, based on results from a previously published marketing study, demonstrates that different approaches to analysis of the same data can result in very different results (both in terms of power and effect size). The implication is that marketing scholars should be cautious when analyzing multilevel or other grouped data, and we provide a discussion and introduction to the use of hierarchical linear modeling for this purpose.

Dynamics and topographic organization of recursive self-organizing maps

Recently there has been an outburst of interest in extending topographic maps of vectorial data to more general data structures, such as sequences or trees. However, there is no general consensus as to how best to process sequences using topographicmaps, and this topic remains an active focus of neurocomputational research. The representational capabilities and internal representations of the models are not well understood. Here, we rigorously analyze a generalization of the self-organizingmap (SOM) for processing sequential data, recursive SOM (RecSOM) (Voegtlin, 2002), as a nonautonomous dynamical system consisting of a set of fixed input maps. We argue that contractive fixed-input maps are likely to produce Markovian organizations of receptive fields on the RecSOM map. We derive bounds on parameter β (weighting the importance of importing past information when processing sequences) under which contractiveness of the fixed-input maps is guaranteed. Some generalizations of SOM contain a dynamic module responsible for processing temporal contexts as an integral part of the model. We show that Markovian topographic maps of sequential data can be produced using a simple fixed (nonadaptable) dynamic module externally feeding a standard topographic model designed to process static vectorial data of fixed dimensionality (e.g., SOM). However, by allowing trainable feedback connections, one can obtain Markovian maps with superior memory depth and topography preservation. We elaborate on the importance of non-Markovian organizations in topographic maps of sequential data. © 2006 Massachusetts Institute of Technology.