Contemporary Developments In Finite Fields And Applications

Author: Anne Canteaut
Publisher: World Scientific
ISBN: 9814719277
Size: 61.96 MB
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The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ("Fq12") at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in this volume include cryptography, coding theory, structure of finite fields, algorithms, curves over finite fields, and further applications. Contributors will include: Antoine Joux (Fondation Partenariale de l'UPMC, France); Gary Mullen (Penn State University, USA); Gohar Kyureghyan (Otto-von-Guericke Universität, Germany); Gary McGuire (University College Dublin, Ireland); Michel Lavrauw (Università degli Studi di Padova, Italy); Kirsten Eisentraeger (Penn State University, USA); Renate Scheidler (University of Calgary, Canada); Michael Zieve (University of Michigan, USA). Contents:Divisibility of L-Polynomials for a Family of Curves (I Blanco-Chacón, R Chapman, S Fordham and G McGuire)Divisibility of Exponential Sums Associated to Binomials Over 𝔽p (F Castro, R Figueroa, P Guan and J Ortiz-Ubarri)Dickson Polynomials that are Involutions (P Charpin, S Mesnager and S Sarkar)Constructing Elliptic Curves and Curves of Genus 2 over Finite Fields (K Eisenträger)A Family of Plane Curves with Two or More Galois Points in Positive Characteristic (S Fukasawa)Permutation Polynomials of 𝔽q2 of the Form αX + Xr(q-1)+1 (X-D Hou)Character Sums and Generating Sets (M-D A Huang and L Liu)Nearly Sparse Linear Algebra and Application to Discrete Logarithms Computations (A Joux and C Pierrot)Full Degree Two del Pezzo Surfaces over Small Finite Fields (A Knecht and K Reyes)Diameter of Some Monomial Digraphs (A Kodess, F Lazebnik, S Smith and J Sporre)Permutation Polynomials of the Form X + γTr(Xk) (G Kyureghyan and M Zieve)Scattered Spaces in Galois Geometry (M Lavrauw)On the Value Set of Small Families of Polynomials over a Finite Field, III (G Matera, M Pérez and Melina Privitelli)The Density of Unimodular Matrices over Integrally Closed Subrings of Function Fields (G Micheli and R Schnyder)Some Open Problems Arising from My Recent Finite Field Research (G L Mullen)On Coefficients of Powers of Polynomials and Their Compositions over Finite Fields (G L Mullen, A Muratović-Ribić and Q Wang)On the Structure of Certain Reduced Linear Modular Systems (E Orozco)Finding a Gröbner Basis for the Ideal of Recurrence Relations on m-Dimensional Periodic Arrays (I M Rubio, M Sweedler and C Heegard)An Introduction to Hyperelliptic Curve Arithmetic (R Scheidler)On the Existence of Aperiodic Complementary Hexagonal Lattice Arrays (Y Tan and G Gong) Readership: Researchers in combinatorics and graph theory, numerical analysis and computational mathematics, and coding theory.

Finite Fields And Applications

Author: Gary L. Mullen
Publisher: American Mathematical Soc.
ISBN: 0821843095
Size: 76.56 MB
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This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields. Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.

Model Based Development

Author: H.S. Lahman
Publisher: Pearson Education
ISBN: 0132757184
Size: 60.62 MB
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A Proven Development Methodology That Delivers On the Promise of Model-Based Approaches Software continues to become more and more complex, while software consumers’ expectations for performance, reliability, functionality, and speed-to-market are also growing exponentially. H. S. Lahman shows how to address all these challenges by integrating proven object-oriented techniques with a powerful new methodology. Model-Based Development represents Lahman’s half century of experience as a pioneering software innovator. Building on Shlaer-Mellor’s work, Lahman’s unique approach fully delivers on the promise of models and is firmly grounded in the realities of contemporary development, design, and architecture. The book introduces the methodology’s core principles, showing how it separates each of a project’s concerns, enabling practitioners to optimize each domain for its unique needs and characteristics. Next, it demonstrates how to perform more effective object-oriented analysis, emphasizing abstraction, disciplined partitioning, modeling invariants, finite state machines, and efficient communications among program units. Coverage includes How we got here: a historical perspective and pragmatic review of object principles Problem space versus computing space: reflecting crucial distinctions between customer and computer environments in your designs Application partitioning: why it matters and how do it well Building static models that describe basic application structure Modeling classes, class responsibilities, associations, and both referential and knowledge integrity Creating dynamic models that describe behavior via finite state machines Successfully using abstract action languages (AALs) and action data flow diagrams (ADFDs) Throughout, Lahman illuminates theoretical issues in practical terms, explaining why things are done as they are, without demanding rigorous math. His focus is on creating implementation-independent models that resolve functional requirements completely, precisely, and unambiguously. Whether you’re a developer, team leader, architect, or designer, Lahman’s techniques will help you build software that’s more robust, easier to maintain, supports larger-scale reuse, and whose specification is rigorous enough to enable full-scale automatic code generation.

Finite Fields

Author: Rudolf Lidl
Publisher: Cambridge University Press
ISBN: 9780521392310
Size: 24.74 MB
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This book is devoted entirely to the theory of finite fields.

Arithmetic Geometry Cryptography And Coding Theory

Author: Alp Bassa
Publisher: American Mathematical Soc.
ISBN: 1470428105
Size: 12.89 MB
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This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathématiques in Marseille, France, from May 18–22, 2015. Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field.

Elasticity

Author: Martin H. Sadd
Publisher: Academic Press
ISBN: 0124104320
Size: 17.15 MB
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Elasticity: Theory, Applications, and Numerics, Third Edition, continues its market-leading tradition of concisely presenting and developing the linear theory of elasticity, moving from solution methodologies, formulations, and strategies into applications of contemporary interest, such as fracture mechanics, anisotropic and composite materials, micromechanics, nonhomogeneous graded materials, and computational methods. Developed for a one- or two-semester graduate elasticity course, this new edition has been revised with new worked examples and exercises, and new or expanded coverage of areas such as spherical anisotropy, stress contours, isochromatics, isoclinics, and stress trajectories. Using MATLAB software, numerical activities in the text are integrated with analytical problem solutions. These numerics aid in particular calculations, graphically present stress and displacement solutions to problems of interest, and conduct simple finite element calculations, enabling comparisons with previously studied analytical solutions. Online ancillary support materials for instructors include a solutions manual, image bank, and a set of PowerPoint lecture slides. Thorough yet concise introduction to linear elasticity theory and applications Only text providing detailed solutions to problems of nonhomogeneous/graded materials New material on stress contours/lines, contact stresses, curvilinear anisotropy applications Further and new integration of MATLAB software Addition of many new exercises Comparison of elasticity solutions with elementary theory, experimental data, and numerical simulations Online solutions manual and downloadable MATLAB code

Tourism And Development In Sub Saharan Africa

Author: Marina Novelli
Publisher: Routledge
ISBN: 113508632X
Size: 31.55 MB
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Over the past 20 years, the perception of tourism as an effective contributor to socio-economic development in the developing world has propagated, with many viewing tourism as a provider for poverty alleviation and towards other UN Millennium Development Goals. Over the same period, readers have become familiar with the paradoxes, complexities and inequalities of tourism in relation to development, wealth creation, growth, redistribution, governance and ‘hosts-guests’ relationships. This volume further extends this critical debate with a much-needed cohesive publication on Sub-Sahara Africa (SSA). In an era of fluctuating tourist arrivals at global level, the growth of tourism in SSA requires deeper consideration in terms of its inconsistent and questionable implications at local level. Taking as a central theme the debate on whether tourism should be used in development efforts, this book examines the way in which tourism has controversially become the way forward to development in several SSA locations and assesses bottlenecks to sustainable development as well as dilemmas and challenges faced by those SSA destinations seeking to achieve development through tourism. It offers an explicit set of chapters adopting a multi-disciplinary approach, drawing upon tourism studies, human geography, sociology, anthropology, political economy, development and environmental studies, and integrates case studies authored by local African practitioners and academics to produce a book that gave voice to local experts on local realities. Combining an overview of key theories, concepts, contemporary issues and debates as well as practical insights from a wide range of regions in SSA, this book will be a valuable resource for those investigating the role of tourism in development.

Tropical Living

Author: Elizabeth V. Reyes
Publisher: Tuttle Publishing
ISBN: 1462906591
Size: 73.61 MB
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This tropical design book showcases the innovative interior designs and architecture of The Philippines most luxurious homes. Start with a warm tropical climate. Add an abundance of exotic natural building material. And then let the cross currents of Asian design and aesthetics create a rich architectural alchemy of it's own. The result? The exquisite homes of the Philippines, a perfect balance of form and functionality, beautifully portrayed in Tropical Living. This Filipino design book presents over 30 of the latest homes in the archipelago: from a classic old-world penthouse in the art-deco Malate area to the creative homes of artists of Antipolo: from Asian-fusion villas on Batangas Bay to the elite Philippine Mediterranean manors of Forbes park, the book covers Filipino taste in all of its manifestations. With over 400 fabulous full-color photographs and texts from some of the country's leading architects and authors, there is also an inspirational sourcebook of contemporary tropical furnishings. It is a book of ideas to dip into, and savor.

Finite Simple Groups Thirty Years Of The Atlas And Beyond

Author: Manjul Bhargava
Publisher: American Mathematical Soc.
ISBN: 1470436787
Size: 51.63 MB
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Classification of Finite Simple Groups, one of the most monumental accomplishments of modern mathematics, was announced in 1983 with the proof completed in 2004. Since then, it has opened up a new and powerful strategy to approach and resolve many previously inaccessible problems in group theory, number theory, combinatorics, coding theory, algebraic geometry, and other areas of mathematics. This strategy crucially utilizes various information about finite simple groups, part of which is catalogued in the Atlas of Finite Groups (John H. Conway et al.), and in An Atlas of Brauer Characters (Christoph Jansen et al.). It is impossible to overestimate the roles of the Atlases and the related computer algebra systems in the everyday life of researchers in many areas of contemporary mathematics. The main objective of the conference was to discuss numerous applications of the Atlases and to explore recent developments and future directions of research, with focus on the interaction between computation and theory and applications to number theory and algebraic geometry. The papers in this volume are based on talks given at the conference. They present a comprehensive survey on current research in all of these fields.