Self Dual Codes And Invariant Theory
DOWNLOAD
Download Self Dual Codes And Invariant Theory PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Self Dual Codes And Invariant Theory book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Self Dual Codes And Invariant Theory
DOWNLOAD
Author : Gabriele Nebe
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-20
Self Dual Codes And Invariant Theory written by Gabriele Nebe and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-20 with Mathematics categories.
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.
Algebraic Informatics
DOWNLOAD
Author : Symeon Bozapalidis
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-28
Algebraic Informatics written by Symeon Bozapalidis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-28 with Computers categories.
This book constitutes the refereed proceedings of the Third International Conference on Algebraic Informatics, CAI 2009, held in Thessaloniki, Greece, in May 2009. The 16 full papers were carefully reviewed and selected from 25 submissions. The papers cover topics such as algebraic semantics on graph and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs arrays, etc. decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, algebraic aspects of cryptography.
The Theory Of Error Correcting Codes
DOWNLOAD
Author : Florence Jessie MacWilliams
language : en
Publisher: Elsevier
Release Date : 1977
The Theory Of Error Correcting Codes written by Florence Jessie MacWilliams and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Computers categories.
Computational Invariant Theory
DOWNLOAD
Author : Harm Derksen
language : en
Publisher: Springer
Release Date : 2015-12-23
Computational Invariant Theory written by Harm Derksen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-23 with Mathematics categories.
This book is about the computational aspects of invariant theory. Of central interest is the question how the invariant ring of a given group action can be calculated. Algorithms for this purpose form the main pillars around which the book is built. There are two introductory chapters, one on Gröbner basis methods and one on the basic concepts of invariant theory, which prepare the ground for the algorithms. Then algorithms for computing invariants of finite and reductive groups are discussed. Particular emphasis lies on interrelations between structural properties of invariant rings and computational methods. Finally, the book contains a chapter on applications of invariant theory, covering fields as disparate as graph theory, coding theory, dynamical systems, and computer vision. The book is intended for postgraduate students as well as researchers in geometry, computer algebra, and, of course, invariant theory. The text is enriched with numerous explicit examples which illustrate the theory and should be of more than passing interest. More than ten years after the first publication of the book, the second edition now provides a major update and covers many recent developments in the field. Among the roughly 100 added pages there are two appendices, authored by Vladimi r Popov, and an addendum by Norbert A'Campo and Vladimir Popov.
Algebraic Aspects Of Digital Communications
DOWNLOAD
Author : Tanush Shaska
language : en
Publisher: IOS Press
Release Date : 2009
Algebraic Aspects Of Digital Communications written by Tanush Shaska and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Computers categories.
-Proceedings of the NATO Advanced Study Institute on New Challenges in Digital Communications, Vlora, Albania, 27 April - 9 May 2008.---T.p. verso.
Algorithms In Invariant Theory
DOWNLOAD
Author : Bernd Sturmfels
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-17
Algorithms In Invariant Theory written by Bernd Sturmfels and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-17 with Mathematics categories.
This book is both an easy-to-read textbook for invariant theory and a challenging research monograph that introduces a new approach to the algorithmic side of invariant theory. Students will find the book an easy introduction to this "classical and new" area of mathematics. Researchers in mathematics, symbolic computation, and computer science will get access to research ideas, hints for applications, outlines and details of algorithms, examples and problems.
Code Based Secret Sharing Schemes Applied Combinatorial Coding Theory
DOWNLOAD
Author : Patrick Sole
language : en
Publisher: World Scientific
Release Date : 2022-04-11
Code Based Secret Sharing Schemes Applied Combinatorial Coding Theory written by Patrick Sole and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-11 with Computers categories.
Secret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.
Algebra And Coding Theory
DOWNLOAD
Author : A. Leroy
language : en
Publisher: American Mathematical Society
Release Date : 2023-05-01
Algebra And Coding Theory written by A. Leroy and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-01 with Mathematics categories.
This volume contains the proceedings of the Virtual Conference on Noncommutative Rings and their Applications VII, in honor of Tariq Rizvi, held from July 5–7, 2021, and the Virtual Conference on Quadratic Forms, Rings and Codes, held on July 8, 2021, both of which were hosted by the Université d'Artois, Lens, France. The articles cover topics in commutative and noncommutative algebra and applications to coding theory. In some papers, applications of Frobenius rings, the skew group rings, and iterated Ore extensions to coding theory are discussed. Other papers discuss classical topics, such as Utumi rings, Baer rings, nil and nilpotent algebras, and Brauer groups. Still other articles are devoted to various aspects of the elementwise study for rings and modules. Lastly, this volume includes papers dealing with questions in homological algebra and lattice theory. The articles in this volume show the vivacity of the research of noncommutative rings and its influence on other subjects.
Z2z4 Linear Codes
DOWNLOAD
Author : Joaquim Borges
language : en
Publisher: Springer Nature
Release Date : 2022-06-30
Z2z4 Linear Codes written by Joaquim Borges and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-30 with Computers categories.
The theory developed for Z2Z4-additive codes is the starting point for much generalization about codes over mixed alphabets. They have opened a new, emergent area of research. The techniques used for Z2Z4-linear codes are being generalized and applied to more general codes. By example, these codes have contributed to the classification of many nonlinear codes. Moreover, they can be considered as the starting point of many different generalizations given over mixed alphabets, thereby representing a useful area of research. Since 2010, more than 30 papers have been published about the codes considered in the book, which includes important classes of binary codes (1-perfect, Hadamard, etc.) that are not linear in general. For example, much recent research has shown the application of the techniques described for the family of cyclic Z2Z4-linear codes. Topics and Features: Examines everything from the basic definitions to very advanced results Provides numerous examples, succinctly and comprehensively gathering and using the relevant information Includes examples using commands from a new Magma package, developed mostly by the same authors Proposes algorithms, for instance to describe coding and decoding strategies This unique volume will be eminently suitable for researchers working on coding theory over rings, especially over mixed alphabets. Experts will find commands and algorithms that will be useful in the generalization to codes over mixed alphabets. Additionally, by outlining the basic theory of codes over mixed alphabets and providing numerous examples, the book will be useful to researchers wanting to be introduced to the topic. The authors are all affiliated with the Dept. of Information and Communications Engineering at the Universitat Autònoma de Barcelona, Spain. Joaquim Borges and Cristina Fernández-Córdoba are Associate Professors, Jaume Pujol is a now retired Associate Professor, Josep Rifà is Professor Emeritus, and Mercè Villanueva is Associate Professor.
Selected Unsolved Problems In Coding Theory
DOWNLOAD
Author : David Joyner
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-26
Selected Unsolved Problems In Coding Theory written by David Joyner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-26 with Mathematics categories.
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.