Algebraic Geometry Modeling In Information Theory
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Author | : Edgar Martinez-Moro |
Publisher | : World Scientific |
Total Pages | : 334 |
Release | : 2013 |
Genre | : Computers |
ISBN | : 9814335762 |
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 | : 9814335754 |
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 |
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 | : Elisabeth Bouscaren |
Publisher | : |
Total Pages | : 236 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662194478 |
Author | : Goppa |
Publisher | : Springer Science & Business Media |
Total Pages | : 174 |
Release | : 1988-09-30 |
Genre | : Mathematics |
ISBN | : 9789027727763 |
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering: and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.
Author | : Ciro Ciliberto |
Publisher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 2001-08-31 |
Genre | : Computers |
ISBN | : 9781402000041 |
Proceedings of the NATO Advanced Research Workshop, held in Eilat, Israel, from 25th February to 1st March 2001
Author | : Gregory S. Chirikjian |
Publisher | : Springer Science & Business Media |
Total Pages | : 397 |
Release | : 2009-09-02 |
Genre | : Mathematics |
ISBN | : 0817648038 |
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 |
Author | : R. Pellikaan |
Publisher | : Walter de Gruyter |
Total Pages | : 301 |
Release | : 2011-07-20 |
Genre | : Mathematics |
ISBN | : 3110811057 |
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Author | : Henning Stichtenoth |
Publisher | : Springer Science & Business Media |
Total Pages | : 363 |
Release | : 2008-11-20 |
Genre | : Mathematics |
ISBN | : 3540768777 |
This book links two subjects: algebraic geometry and coding theory. It uses a novel approach based on the theory of algebraic function fields. Coverage includes the Riemann-Rock theorem, zeta functions and Hasse-Weil's theorem as well as Goppa' s algebraic-geometric codes and other traditional codes. It will be useful to researchers in algebraic geometry and coding theory and computer scientists and engineers in information transmission.