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Locally Decodable Codes
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Book Synopsis Locally Decodable Codes by : Sergey Yekhanin
Download or read book Locally Decodable Codes written by Sergey Yekhanin and published by Now Pub. This book was released on 2012 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces and motivates locally decodable codes, and discusses the central results of the subject. It will benefit computer scientists, electrical engineers, and mathematicians with an interest in coding theory.
Book Synopsis Coding and Cryptology by : Yeow Meng Chee
Download or read book Coding and Cryptology written by Yeow Meng Chee and published by Springer. This book was released on 2011-06-05 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Workshop on Coding and Cryptology, IWCC 2011, held in Qingdao, China, May 30-June 3, 2011. The 19 revised full technical papers are contributed by the invited speakers of the workshop. The papers were carefully reviewed and cover a broad range of foundational and methodological as well as applicative issues in coding and cryptology, as well as related areas such as combinatorics.
Book Synopsis Locally Decodable Codes and Private Information Retrieval Schemes by : Sergey Yekhanin
Download or read book Locally Decodable Codes and Private Information Retrieval Schemes written by Sergey Yekhanin and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Locally decodable codes (LDCs) are codes that simultaneously provide efficient random access retrieval and high noise resilience by allowing reliable reconstruction of an arbitrary bit of a message by looking at only a small number of randomly chosen codeword bits. Local decodability comes with a certain loss in terms of efficiency – specifically, locally decodable codes require longer codeword lengths than their classical counterparts. Private information retrieval (PIR) schemes are cryptographic protocols designed to safeguard the privacy of database users. They allow clients to retrieve records from public databases while completely hiding the identity of the retrieved records from database owners. In this book the author provides a fresh algebraic look at the theory of locally decodable codes and private information retrieval schemes, obtaining new families of each which have much better parameters than those of previously known constructions, and he also proves limitations of two server PIRs in a restricted setting that covers all currently known schemes. The author's related thesis won the ACM Dissertation Award in 2007, and this book includes some expanded sections and proofs, and notes on recent developments.
Book Synopsis List Decoding of Error-Correcting Codes by : Venkatesan Guruswami
Download or read book List Decoding of Error-Correcting Codes written by Venkatesan Guruswami and published by Springer Science & Business Media. This book was released on 2004-11-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a thoroughly revised and extended version of the author's PhD thesis, which was selected as the winning thesis of the 2002 ACM Doctoral Dissertation Competition. Venkatesan Guruswami did his PhD work at the MIT with Madhu Sudan as thesis adviser. Starting with the seminal work of Shannon and Hamming, coding theory has generated a rich theory of error-correcting codes. This theory has traditionally gone hand in hand with the algorithmic theory of decoding that tackles the problem of recovering from the transmission errors efficiently. This book presents some spectacular new results in the area of decoding algorithms for error-correcting codes. Specificially, it shows how the notion of list-decoding can be applied to recover from far more errors, for a wide variety of error-correcting codes, than achievable before The style of the exposition is crisp and the enormous amount of information on combinatorial results, polynomial time list decoding algorithms, and applications is presented in well structured form.
Book Synopsis Numerical Linear Algebra with Julia by : Eric Darve
Download or read book Numerical Linear Algebra with Julia written by Eric Darve and published by SIAM. This book was released on 2021-09-02 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Linear Algebra with Julia provides in-depth coverage of fundamental topics in numerical linear algebra, including how to solve dense and sparse linear systems, compute QR factorizations, compute the eigendecomposition of a matrix, and solve linear systems using iterative methods such as conjugate gradient. Julia code is provided to illustrate concepts and allow readers to explore methods on their own. Written in a friendly and approachable style, the book contains detailed descriptions of algorithms along with illustrations and graphics that emphasize core concepts and demonstrate the algorithms. Numerical Linear Algebra with Julia is a textbook for advanced undergraduate and graduate students in most STEM fields and is appropriate for courses in numerical linear algebra. It may also serve as a reference for researchers in various fields who depend on numerical solvers in linear algebra.
Book Synopsis Error-Correction Coding and Decoding by : Martin Tomlinson
Download or read book Error-Correction Coding and Decoding written by Martin Tomlinson and published by Springer. This book was released on 2017-02-21 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses both the theory and practical applications of self-correcting data, commonly known as error-correcting codes. The applications included demonstrate the importance of these codes in a wide range of everyday technologies, from smartphones to secure communications and transactions. Written in a readily understandable style, the book presents the authors’ twenty-five years of research organized into five parts: Part I is concerned with the theoretical performance attainable by using error correcting codes to achieve communications efficiency in digital communications systems. Part II explores the construction of error-correcting codes and explains the different families of codes and how they are designed. Techniques are described for producing the very best codes. Part III addresses the analysis of low-density parity-check (LDPC) codes, primarily to calculate their stopping sets and low-weight codeword spectrum which determines the performance of th ese codes. Part IV deals with decoders designed to realize optimum performance. Part V describes applications which include combined error correction and detection, public key cryptography using Goppa codes, correcting errors in passwords and watermarking. This book is a valuable resource for anyone interested in error-correcting codes and their applications, ranging from non-experts to professionals at the forefront of research in their field. This book is open access under a CC BY 4.0 license.
Book Synopsis The Burrows-Wheeler Transform: by : Donald Adjeroh
Download or read book The Burrows-Wheeler Transform: written by Donald Adjeroh and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Burrows-Wheeler Transform is one of the best lossless compression me- ods available. It is an intriguing — even puzzling — approach to squeezing redundancy out of data, it has an interesting history, and it has applications well beyond its original purpose as a compression method. It is a relatively late addition to the compression canon, and hence our motivation to write this book, looking at the method in detail, bringing together the threads that led to its discovery and development, and speculating on what future ideas might grow out of it. The book is aimed at a wide audience, ranging from those interested in learning a little more than the short descriptions of the BWT given in st- dard texts, through to those whose research is building on what we know about compression and pattern matching. The ?rst few chapters are a careful description suitable for readers with an elementary computer science ba- ground (and these chapters have been used in undergraduate courses), but later chapters collect a wide range of detailed developments, some of which are built on advanced concepts from a range of computer science topics (for example, some of the advanced material has been used in a graduate c- puter science course in string algorithms). Some of the later explanations require some mathematical sophistication, but most should be accessible to those with a broad background in computer science.
Book Synopsis Introduction to Property Testing by : Oded Goldreich
Download or read book Introduction to Property Testing written by Oded Goldreich and published by Cambridge University Press. This book was released on 2017-11-23 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive and authoritative introduction to property testing, the study of super-fast algorithms for the structural analysis of large quantities of data in order to determine global properties. This book can be used both as a reference book and a textbook, and includes numerous exercises.
Book Synopsis 2021 IEEE International Symposium on Information Theory (ISIT) by : IEEE Staff
Download or read book 2021 IEEE International Symposium on Information Theory (ISIT) written by IEEE Staff and published by . This book was released on 2021-07-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: ISIT is the premier international conference dedicated to the advancement of information theory and related areas It brings together an international community of researchers and practitioners each year in the field of information theory to present and discuss new research results and perspectives on future developments relevant to all areas of information theory, including big data analytics, source and channel coding, communication theory and systems, cryptography and security, detection and estimation, emerging applications, networks, network coding information theory, signal processing, and statistical machine learning
Download or read book Channel Codes written by William Ryan and published by Cambridge University Press. This book was released on 2009-09-17 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: Channel coding lies at the heart of digital communication and data storage, and this detailed introduction describes the core theory as well as decoding algorithms, implementation details, and performance analyses. In this book, Professors Ryan and Lin provide clear information on modern channel codes, including turbo and low-density parity-check (LDPC) codes. They also present detailed coverage of BCH codes, Reed-Solomon codes, convolutional codes, finite geometry codes, and product codes, providing a one-stop resource for both classical and modern coding techniques. Assuming no prior knowledge in the field of channel coding, the opening chapters begin with basic theory to introduce newcomers to the subject. Later chapters then extend to advanced topics such as code ensemble performance analyses and algebraic code design. 250 varied and stimulating end-of-chapter problems are also included to test and enhance learning, making this an essential resource for students and practitioners alike.
Book Synopsis Network Coding and Subspace Designs by : Marcus Greferath
Download or read book Network Coding and Subspace Designs written by Marcus Greferath and published by Springer. This book was released on 2018-01-29 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Cryptography by : Yael Kalai
Download or read book Theory of Cryptography written by Yael Kalai and published by Springer. This book was released on 2017-11-04 with total page 777 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 10677 and LNCS 10678 constitutes the refereed proceedings of the 15th International Conference on Theory of Cryptography, TCC 2017, held in Baltimore, MD, USA, in November 2017. The total of 51 revised full papers presented in the proceedings were carefully reviewed and selected from 150 submissions. The Theory of Cryptography Conference deals with the paradigms, approaches, and techniques used to conceptualize natural cryptographic problems and provide algorithmic solutions to them and much more.
Book Synopsis Secure Multi-party Computation by : Manoj Prabhakaran
Download or read book Secure Multi-party Computation written by Manoj Prabhakaran and published by IOS Press. This book was released on 2013 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Secure Multi-Party Computation MPC is one of the most powerful tools developed by modern cryptography it facilitates collaboration among mutually distrusting parties by implementing a virtual trusted party. Despite the remarkable potential of such a tool, and decades of active research in the theoretical cryptography community, it remains a relatively inaccessible and lesser-known concept outside of this field. Only a handful of resources are available to students and researchers wishing to learn more about MPC. The editors of this book have assembled a comprehensive body of basic and advanced material on MPC, authored by
Book Synopsis Introduction to Convolutional Codes with Applications by : Ajay Dholakia
Download or read book Introduction to Convolutional Codes with Applications written by Ajay Dholakia and published by Springer Science & Business Media. This book was released on 1994-06-30 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel application of fast decodable invertible convolutional codes for lost packet recovery in high speed networks is described. This opens the door for using convolutional coding for error recovery in high speed networks.
Book Synopsis Automata, Languages and Programming by : Fernando Orejas
Download or read book Automata, Languages and Programming written by Fernando Orejas and published by Springer Science & Business Media. This book was released on 2001-06-27 with total page 1098 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th International Colloquium on Automata, Languages and Programming, ICALP 2001, held in Crete, Greece in July 2001. The 80 revised papers presented together with two keynote contributions and four invited papers were carefully reviewed and selected from a total of 208 submissions. The papers are organized in topical sections on algebraic and circuit complexity, algorithm analysis, approximation and optimization, complexity, concurrency, efficient data structures, graph algorithms, language theory, codes and automata, model checking and protocol analysis, networks and routing, reasoning and verification, scheduling, secure computation, specification and deduction, and structural complexity.
Book Synopsis Probabilistic Proof Systems by : Oded Goldreich
Download or read book Probabilistic Proof Systems written by Oded Goldreich and published by Now Publishers Inc. This book was released on 2008 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various types of probabilistic proof systems have played a central role in the development of computer science in the last couple of decades. These proof systems deviate from the traditional concept of a proof by introducing randomization and interaction into the verification process. Probabilistic proof systems carry an error probability (which is explicitly bounded and can be decreased by repetitions), but they offer various advantages over deterministic proof systems. This primer concentrates on three types of probabilistic proof systems: interactive proofs, zero-knowledge proofs, and probabilistically checkable proofs (PCP). Surveying the basic results regarding these proof systems, the primer stresses the essential role of randomness in each of them.
Download or read book STACS 2007 written by Wolfgang Thomas and published by Springer. This book was released on 2007-05-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 24th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2007, held in Aachen, Germany in February 2007. The 56 revised full papers presented together with 3 invited papers address the whole range of theoretical computer science as well as current challenges like biological computing, quantum computing, and mobile and net computing.
