Network Coding And Subspace Designs
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Network Coding And Subspace Designs
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Author : Marcus Greferath
language : en
Publisher: Springer
Release Date : 2018-01-29
Network Coding And Subspace Designs written by Marcus Greferath and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-29 with Technology & Engineering categories.
This book, written by experts from universities and major research laboratories, addresses the hot topic of network coding, a powerful scheme for information transmission in networks that yields near-optimal throughput. It introduces readers to this striking new approach to network coding, in which the network is not simply viewed as a mechanism for delivering packets, but rather an algebraic structure named the subspace, which these packets span. This leads to a new kind of coding theory, employing what are called subspace codes. The book presents selected, highly relevant advanced research output on: Subspace Codes and Rank Metric Codes; Finite Geometries and Subspace Designs; Application of Network Coding; Codes for Distributed Storage Systems. The outcomes reflect research conducted within the framework of the European COST Action IC1104: Random Network Coding and Designs over GF(q). Taken together, they offer communications engineers, R&D engineers, researchers and graduate students in Mathematics, Computer Science, and Electrical Engineering a comprehensive reference guide to the construction of optimal network codes, as well as efficient encoding and decoding schemes for a given network code.
Combinatorics And Finite Fields
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Author : Kai-Uwe Schmidt
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-07-08
Combinatorics And Finite Fields written by Kai-Uwe Schmidt and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-08 with Mathematics categories.
Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory. This book contains survey articles on topics such as difference sets, polynomials, and pseudorandomness.
Concise Encyclopedia Of Coding Theory
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Author : W. Cary Huffman
language : en
Publisher: CRC Press
Release Date : 2021-03-25
Concise Encyclopedia Of Coding Theory written by W. Cary Huffman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-25 with Computers categories.
Most coding theory experts date the origin of the subject with the 1948 publication of A Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has grown into a discipline with many practical applications (antennas, networks, memories), requiring various mathematical techniques, from commutative algebra, to semi-definite programming, to algebraic geometry. Most topics covered in the Concise Encyclopedia of Coding Theory are presented in short sections at an introductory level and progress from basic to advanced level, with definitions, examples, and many references. The book is divided into three parts: Part I fundamentals: cyclic codes, skew cyclic codes, quasi-cyclic codes, self-dual codes, codes and designs, codes over rings, convolutional codes, performance bounds Part II families: AG codes, group algebra codes, few-weight codes, Boolean function codes, codes over graphs Part III applications: alternative metrics, algorithmic techniques, interpolation decoding, pseudo-random sequences, lattices, quantum coding, space-time codes, network coding, distributed storage, secret-sharing, and code-based-cryptography. Features Suitable for students and researchers in a wide range of mathematical disciplines Contains many examples and references Most topics take the reader to the frontiers of research
Essays On Coding Theory
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Author : Ian F. Blake
language : en
Publisher: Cambridge University Press
Release Date : 2024-03-14
Essays On Coding Theory written by Ian F. Blake and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-14 with Mathematics categories.
Critical coding techniques have developed over the past few decades for data storage, retrieval and transmission systems, significantly mitigating costs for governments and corporations that maintain server systems containing large amounts of data. This book surveys the basic ideas of these coding techniques, which tend not to be covered in the graduate curricula, including pointers to further reading. Written in an informal style, it avoids detailed coverage of proofs, making it an ideal refresher or brief introduction for students and researchers in academia and industry who may not have the time to commit to understanding them deeply. Topics covered include fountain codes designed for large file downloads; LDPC and polar codes for error correction; network, rank metric, and subspace codes for the transmission of data through networks; post-quantum computing; and quantum error correction. Readers are assumed to have taken basic courses on algebraic coding and information theory.
Combinatorial Algorithms
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Author : Paola Flocchini
language : en
Publisher: Springer Nature
Release Date : 2021-06-30
Combinatorial Algorithms written by Paola Flocchini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-30 with Computers categories.
This book constitutes the proceedings of the 32nd International Workshop on Combinatorial Algorithms which was planned to take place in Ottawa, ON, Canada, in July 2021. Due to the COVID-19 pandemic the conference changed to a virtual format. The 38 full papers included in this book together with 2 invited talks were carefully reviewed and selected from 107 submissions. They focus on algorithms design for the myriad of combinatorial problems that underlie computer applications in science, engineering and business. Chapter “Minimum Eccentricity Shortest Path Problem with Respect to Structural Parameters” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Design Of Network Coding Schemes In Wireless Networks
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Author : Zihuai Lin
language : en
Publisher: CRC Press
Release Date : 2022-06-23
Design Of Network Coding Schemes In Wireless Networks written by Zihuai Lin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-23 with Technology & Engineering categories.
This book provides a consolidated view of the various network coding techniques to be implemented at the design of the wireless networks for improving its overall performance. It covers multiple sources communicating with multiple destinations via a common relay followed by network coded modulation schemes for multiple access relay channels. Performance of the distributed systems based on distributed convolutional codes with network coded modulation is covered including a two-way relay channel (TWRC). Two MIF protocols are proposed including derivation of signal-to-noise ratio (SNR) and development of threshold of the channel conditions of both. Features: Systematically investigates coding and modulation for wireless relay networks. Discusses how to apply lattice codes in implementing lossless communications and lossy source coding over a network. Focusses on theoretical approach for performance optimization. Includes various network coding strategies for different networks. Reviews relevant existing and ongoing research in optimization along with practical code design. This book aims at Researchers, Professionals and Graduate students in Networking, Communications, Information, Coding Theory, Theoretical Computer Science, Performance Analysis and Resource Optimization, Applied Discrete Mathematics, and Applied Probability.
Sensor Networks
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Author : Gianluigi Ferrari
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-10
Sensor Networks written by Gianluigi Ferrari 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 2010-03-10 with Technology & Engineering categories.
The idea of this book comes from the observation that sensor networks represent a topic of interest from both theoretical and practical perspectives. The title und- lines that sensor networks offer the unique opportunity of clearly linking theory with practice. In fact, owing to their typical low-cost, academic researchers have the opportunity of implementing sensor network testbeds to check the validity of their theories, algorithms, protocols, etc., in reality. Likewise, a practitioner has the opportunity of understanding what are the principles behind the sensor networks under use and, thus, how to properly tune some accessible network parameters to improve the performance. On the basis of the observations above, the book has been structured in three parts:PartIisdenotedas“Theory,”sincethetopicsofits vechaptersareapparently “detached” from real scenarios; Part II is denoted as “Theory and Practice,” since the topics of its three chapters, altough theoretical, have a clear connection with speci c practical scenarios; Part III is denoted as “Practice,” since the topics of its ve chapters are clearly related to practical applications.
Mathematical Software Icms 2024
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Author : Kevin Buzzard
language : en
Publisher: Springer Nature
Release Date : 2024-07-16
Mathematical Software Icms 2024 written by Kevin Buzzard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-16 with Computers categories.
This book constitutes the proceedings of the 8th International Conference on Mathematical Software, ICMS 2024, held in Durham, UK, during July 22–25, 2024. The 37 full papers presented were carefully reviewed and selected from 46 submissions. The papers are organized in subject areas as follows: plenary lectures; number theory and related areas; novel formalisations of mathematics in lean; software for the applications of group theory to combinatorics; classical algebraic geometry & modern computer algebra: innovative software design and its applications; advancing computer algebra with massively parallel methods; computer algebra applications in the life sciences; machine learning within computer algebra systems; numerical software for special functions; mathematical research data; symbolic-numeric methods in algebraic geometry; Polyhedral geometry and combinatorics; general session.
Cryptography And Coding
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Author : Maura B. Paterson
language : en
Publisher: Springer Nature
Release Date : 2021-12-14
Cryptography And Coding written by Maura B. Paterson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-14 with Computers categories.
This book constitutes the refereed proceedings of the 18th IMA International Conference on Cryptography and Coding, IMACC 2021, held in December 2021. Due to COVID 19 pandemic the conference was held virtually. The 14 papers presented were carefully reviewed and selected from 30 submissions. The conference focuses on a diverse set of topics both in cryptography and coding theory.
Arithmetic Of Finite Fields
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Author : Sihem Mesnager
language : en
Publisher: Springer Nature
Release Date : 2023-01-10
Arithmetic Of Finite Fields written by Sihem Mesnager and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-10 with Computers categories.
This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on the Arithmetic of Finite Field, WAIFI 2022, held in Chengdu, China, in August – September 2022. The 19 revised full papers and 3 invited talks presented were carefully reviewed and selected from 25 submissions. The papers are organized in topical sections: structures in finite fields; efficient finite field arithmetic; coding theory; cryptography; sequences.