Codes And Modular Forms: A Dictionary PDF Download

Author: Minjia Shi
Publisher: World Scientific
ISBN: 9811212937
Category : Mathematics
Languages : en
Pages : 232

View

Book Description
There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.

Author: Gabriele Nebe
Publisher: Springer Science & Business Media
ISBN: 9783540307297
Category : Mathematics
Languages : en
Pages : 474

View

Book Description
One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory, which has inspired hundreds of papers about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.

Author: Minjia Shi
Publisher: Academic Press
ISBN: 0128133910
Category : Business & Economics
Languages : en
Pages : 318

View

Book Description
Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature Discusses duality formulas in the context of Frobenius rings Reviews decomposition of quasi-cyclic codes under ring action Evaluates the ideal and modular structure of skew-cyclic codes Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction

Author: Guenter Kahl
Publisher: John Wiley & Sons
ISBN: 3527678662
Category : Science
Languages : en
Pages : 2742

View

Book Description
Now in its fifth edition and for the first time available as an electronic product with all entries cross-linked. This very successful long-seller has once again been thoroughly updated and greatly expanded. It now contains over 13,000 entries, and comprehensively covering genomics, transcriptomics, and proteomics. Each entry contains an extensive explanation, including a comprehensive listing of synonyms and acronyms, and all formulas have been redrawn to create a uniform style, while most of the figures are custom designed for this dictionary. The ultimate reference for all terms in the -omics fields.

Author: Philip Winn
Publisher: Routledge
ISBN: 1134778155
Category : Medical
Languages : en
Pages : 1866

View

Book Description
Biological Psychology is the study of psychological processes in terms of biological functions. A major obstacle to understanding dialogue in the field has always been its terminology which is drawn from a variety of non-psychological sources such as clinical medicine, psychiatry and neuroscience, as well as specialist areas of psychology such as ethology, learning theory and psychophysics. For the first time, a distinguished international team of contributors has now drawn these terms together and defined them both in terms of their physical properties and their behavioural significance. The Dictionary of Biological Psychology will prove an invaluable source of reference for undergraduates in psychology wrestling with the fundamentals of brain physiology, anatomy and chemistry, as well as researchers and practitioners in the neurosciences, psychiatry and the professions allied to medicine. It is an essential resource both for teaching and for independent study, reliable for fact-checking and a solid starting point for wider exploration.

Author: David Joyner
Publisher: Birkhäuser
ISBN: 9780817682576
Category : Mathematics
Languages : en
Pages : 248

View

Book Description
Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage—a free open-source mathematics software system—to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.

Author: Haruzo Hida
Publisher: Oxford University Press
ISBN: 019857102X
Category : Mathematics
Languages : en
Pages : 417

View

Book Description
Describing the applications found for the Wiles and Taylor technique, this book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modular forms (following Fujiwara's treatment), and also discusses applications found by the author.

Author: Brad Hansen
Publisher: Routledge
ISBN: 1135930651
Category : Computers
Languages : en
Pages : 625

View

Book Description
This book is for programmers, graphic artists, writers, video producers, audio engineers, network managers, hardware technicians, and telecommunications professionals who embrace the complex world of digital media and realize the need for a common language in which to communicate with one another.

Author: Peter Kokol
Publisher: IOS Press
ISBN: 9780967335513
Category : Medical
Languages : en
Pages : 1036

View

Book Description
This volume seeks to reflect the state of the art on medical informatics. It presents ideas that will guide the process of medical informatics. Topics in the book include: information systems in health care and medicine; telemedicine and telematics; security; biomedical processing, data mining and knowledge discovery; training and education; Internet/intranet; resources management; intelligent medical systems; health guidelines and protocols; electronic patient encounter, card technology, electronic data interchange; terminology; nursing informatics.

Author: Kenneth Reitz
Publisher: "O'Reilly Media, Inc."
ISBN: 1491933224
Category : Computers
Languages : en
Pages : 338

View

Book Description
The Hitchhiker's Guide to Python takes the journeyman Pythonista to true expertise. More than any other language, Python was created with the philosophy of simplicity and parsimony. Now 25 years old, Python has become the primary or secondary language (after SQL) for many business users. With popularity comes diversity—and possibly dilution. This guide, collaboratively written by over a hundred members of the Python community, describes best practices currently used by package and application developers. Unlike other books for this audience, The Hitchhiker’s Guide is light on reusable code and heavier on design philosophy, directing the reader to excellent sources that already exist.