Algebraic Geometry Modeling In Information Theory PDF Download
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Author | : Edgar Martinez-Moro |
Publisher | : World Scientific |
Total Pages | : 334 |
Release | : 2013 |
Genre | : Computers |
ISBN | : 9814335754 |
Download Algebraic Geometry Modeling in Information Theory Book in PDF, ePub and Kindle
Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.
Author | : Edgar Martinez-Moro |
Publisher | : World Scientific |
Total Pages | : 334 |
Release | : 2013 |
Genre | : Computers |
ISBN | : 9814335762 |
Download Algebraic Geometry Modeling in Information Theory Book in PDF, ePub and Kindle
Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography. Nowadays, new paradigms on coding theory and cryptography have arisen such as: Network coding, S-Boxes, APN Functions, Steganography and decoding by linear programming. Again understanding the underlying procedure and symmetry of these topics needs a whole bunch of non trivial knowledge of algebra and geometry that will be used to both, evaluate those methods and search for new codes and cryptographic applications. This book shows those methods in a self-contained form.
Author | : Mohamed Elkadi |
Publisher | : Springer Science & Business Media |
Total Pages | : 252 |
Release | : 2006-11-02 |
Genre | : Mathematics |
ISBN | : 3540332758 |
Download Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
Author | : Edgar Martinez-Moro |
Publisher | : World Scientific |
Total Pages | : 453 |
Release | : 2008 |
Genre | : Computers |
ISBN | : 9812794018 |
Download Advances in Algebraic Geometry Codes Book in PDF, ePub and Kindle
Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due to either interferences in the telecommunications or degradation of the information-storing support (for instance, compact disc). An error-correcting code thus adds extra information to the message to be transmitted with the aim of recovering the sent information. With contributions from renowned researchers, this pioneering book will be of value to mathematicians, computer scientists, and engineers in information theory.
Author | : Gregory S. Chirikjian |
Publisher | : Springer Science & Business Media |
Total Pages | : 397 |
Release | : 2009-09-02 |
Genre | : Mathematics |
ISBN | : 0817648038 |
Download Stochastic Models, Information Theory, and Lie Groups, Volume 1 Book in PDF, ePub and Kindle
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Author | : Mustapha Lahyane |
Publisher | : |
Total Pages | : 240 |
Release | : 2015 |
Genre | : Geometry, Algebraic |
ISBN | : 9781470425661 |
Download Algebra for Secure and Reliable Communication Modeling Book in PDF, ePub and Kindle
Author | : Ron Goldman |
Publisher | : American Mathematical Soc. |
Total Pages | : 378 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 0821834207 |
Download Topics in Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
Algebraic geometry and geometric modeling both deal with curves and surfaces generated by polynomial equations. Algebraic geometry investigates the theoretical properties of polynomial curves and surfaces; geometric modeling uses polynomial, piecewise polynomial, and rational curves and surfaces to build computer models of mechanical components and assemblies for industrial design and manufacture. The NSF sponsored the four-day ''Vilnius Workshop on Algebraic Geometry and Geometric Modeling'', which brought together some of the top experts in the two research communities to examine a wide range of topics of interest to both fields. This volume is an outgrowth of that workshop. Included are surveys, tutorials, and research papers. In addition, the editors have included a translation of Minding's 1841 paper, ''On the determination of the degree of an equations obtained by elimination'', which foreshadows the modern application of mixed volumes in algebraic geometry. The volume is suitable for mathematicians, computer scientists, and engineers interested in applications of algebraic geometry to geometric modeling.
Author | : Mohamed Elkadi |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2010-11-19 |
Genre | : Mathematics |
ISBN | : 9783642069932 |
Download Algebraic Geometry and Geometric Modeling Book in PDF, ePub and Kindle
This book spans the distance between algebraic descriptions of geometric objects and the rendering of digital geometric shapes based on algebraic models. These contrasting points of view inspire a thorough analysis of the key challenges and how they are met. The articles focus on important classes of problems: implicitization, classification, and intersection. Combining illustrative graphics, computations and review articles this book helps the reader gain a firm practical grasp of these subjects.
Author | : Mustapha Lahyane |
Publisher | : American Mathematical Soc. |
Total Pages | : 258 |
Release | : 2015-06-23 |
Genre | : Mathematics |
ISBN | : 1470410184 |
Download Algebra for Secure and Reliable Communication Modeling Book in PDF, ePub and Kindle
This volume contains the proceedings of the CIMPA Research School and Conference on Algebra for Secure and Reliable Communication Modeling, held from October 1-13, 2012, in Morelia, State of Michoacán, Mexico. The papers cover several aspects of the theory of coding theory and are gathered into three categories: general theory of linear codes, algebraic geometry and coding theory, and constacyclic codes over rings. The aim of this volume is to fill the gap between the theoretical part of algebraic geometry and the applications to problem solving and computational modeling in engineering, signal processing and information theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).
Author | : Gert-Martin Greuel |
Publisher | : Springer |
Total Pages | : 604 |
Release | : 2018-09-18 |
Genre | : Mathematics |
ISBN | : 3319968270 |
Download Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics Book in PDF, ePub and Kindle
This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.