Cryptology And Error Correction

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Cryptology and Error Correction

Author : Lindsay N. Childs
Publisher : Springer
ISBN 13 : 303015453X
Total Pages : 351 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cryptology and Error Correction by : Lindsay N. Childs

Download or read book Cryptology and Error Correction written by Lindsay N. Childs and published by Springer. This book was released on 2019-04-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie–Hellman, and Blum–Goldwasser cryptosystems and Hamming and Reed–Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra—rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory. This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course.

Cryptology and Error Correction

Author : Lindsay Childs
Publisher :
ISBN 13 : 9783030154523
Total Pages : 351 pages
Book Rating : 4.1/5 (545 download)

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Book Synopsis Cryptology and Error Correction by : Lindsay Childs

Download or read book Cryptology and Error Correction written by Lindsay Childs and published by . This book was released on 2019 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a careful introduction to methods of cryptology and error correction in wide use throughout the world and the concepts of abstract algebra and number theory that are essential for understanding these methods. The objective is to provide a thorough understanding of RSA, Diffie-Hellman, and Blum-Goldwasser cryptosystems and Hamming and Reed-Solomon error correction: how they are constructed, how they are made to work efficiently, and also how they can be attacked. To reach that level of understanding requires and motivates many ideas found in a first course in abstract algebra-rings, fields, finite abelian groups, basic theory of numbers, computational number theory, homomorphisms, ideals, and cosets. Those who complete this book will have gained a solid mathematical foundation for more specialized applied courses on cryptology or error correction, and should also be well prepared, both in concepts and in motivation, to pursue more advanced study in algebra and number theory. This text is suitable for classroom or online use or for independent study. Aimed at students in mathematics, computer science, and engineering, the prerequisite includes one or two years of a standard calculus sequence. Ideally the reader will also take a concurrent course in linear algebra or elementary matrix theory. A solutions manual for the 400 exercises in the book is available to instructors who adopt the text for their course.

Cryptography, Information Theory, and Error-Correction

Author : Aiden A. Bruen
Publisher : John Wiley & Sons
ISBN 13 : 1119582423
Total Pages : 690 pages
Book Rating : 4.1/5 (195 download)

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Book Synopsis Cryptography, Information Theory, and Error-Correction by : Aiden A. Bruen

Download or read book Cryptography, Information Theory, and Error-Correction written by Aiden A. Bruen and published by John Wiley & Sons. This book was released on 2021-07-21 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: CRYPTOGRAPHY, INFORMATION THEORY, AND ERROR-CORRECTION A rich examination of the technologies supporting secure digital information transfers from respected leaders in the field As technology continues to evolve Cryptography, Information Theory, and Error-Correction: A Handbook for the 21ST Century is an indispensable resource for anyone interested in the secure exchange of financial information. Identity theft, cybercrime, and other security issues have taken center stage as information becomes easier to access. Three disciplines offer solutions to these digital challenges: cryptography, information theory, and error-correction, all of which are addressed in this book. This book is geared toward a broad audience. It is an excellent reference for both graduate and undergraduate students of mathematics, computer science, cybersecurity, and engineering. It is also an authoritative overview for professionals working at financial institutions, law firms, and governments who need up-to-date information to make critical decisions. The book’s discussions will be of interest to those involved in blockchains as well as those working in companies developing and applying security for new products, like self-driving cars. With its reader-friendly style and interdisciplinary emphasis this book serves as both an ideal teaching text and a tool for self-learning for IT professionals, statisticians, mathematicians, computer scientists, electrical engineers, and entrepreneurs. Six new chapters cover current topics like Internet of Things security, new identities in information theory, blockchains, cryptocurrency, compression, cloud computing and storage. Increased security and applicable research in elliptic curve cryptography are also featured. The book also: Shares vital, new research in the field of information theory Provides quantum cryptography updates Includes over 350 worked examples and problems for greater understanding of ideas. Cryptography, Information Theory, and Error-Correction guides readers in their understanding of reliable tools that can be used to store or transmit digital information safely.

Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes

Author : B. Preneel
Publisher : IOS Press
ISBN 13 : 160750426X
Total Pages : 284 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes by : B. Preneel

Download or read book Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes written by B. Preneel and published by IOS Press. This book was released on 2009-05-27 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Research Workshop on Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes has been organized in Veliko Tarnovo, Bulgaria, on October 6-9, 2008 by the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences in cooperation with COSIC, KU Leuven and in the framework of the NATO Science for Peace and Security program. Goal of the organizers was to gather international experts from both fields - coding theory and cryptography - in order to exchange ideas, define new challenges and open problems for future research. These proceedings present the state-of-the-art in the current research on cryptography applying techniques and results from coding theory. Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes is divided into two parts. In the first part the papers based on the lectures of the invited speakers, and in the second part the papers based on the talks of the participants in the workshop are included.

Foundations of Coding

Author : Jean-Guillaume Dumas
Publisher : John Wiley & Sons
ISBN 13 : 1118960521
Total Pages : 376 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Foundations of Coding by : Jean-Guillaume Dumas

Download or read book Foundations of Coding written by Jean-Guillaume Dumas and published by John Wiley & Sons. This book was released on 2015-01-05 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers a comprehensive introduction to the fundamentalstructures and applications of a wide range of contemporary codingoperations This book offers a comprehensive introduction to the fundamentalstructures and applications of a wide range of contemporary codingoperations. This text focuses on the ways to structure informationso that its transmission will be in the safest, quickest, and mostefficient and error-free manner possible. All coding operations arecovered in a single framework, with initial chapters addressingearly mathematical models and algorithmic developments which led tothe structure of code. After discussing the general foundations ofcode, chapters proceed to cover individual topics such as notionsof compression, cryptography, detection, and correction codes. Bothclassical coding theories and the most cutting-edge models areaddressed, along with helpful exercises of varying complexities toenhance comprehension. Explains how to structure coding information so that itstransmission is safe, error-free, efficient, and fast Includes a pseudo-code that readers may implement in theirpreferential programming language Features descriptive diagrams and illustrations, and almost 150exercises, with corrections, of varying complexity to enhancecomprehension Foundations of Coding: Compression, Encryption,Error-Correction is an invaluable resource for understandingthe various ways information is structured for its secure andreliable transmission in the 21st-century world.

Error-Correcting Codes, Finite Geometries and Cryptography

Author : Aiden A. Bruen
Publisher : American Mathematical Soc.
ISBN 13 : 0821849565
Total Pages : 255 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Error-Correcting Codes, Finite Geometries and Cryptography by : Aiden A. Bruen

Download or read book Error-Correcting Codes, Finite Geometries and Cryptography written by Aiden A. Bruen and published by American Mathematical Soc.. This book was released on 2010-09-03 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, On, Canada from December 5-6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8-10, 2007. The volume features cutting-edge theoretical results on the Reed-Muller and Reed-Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0, 1) matrices with forbidden configurations, Andre embeddings, and representations of projective spaces in affine planes. Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interst and of benefit both to the experienced and to newcomers alike.

Protecting Information

Author : Susan Loepp
Publisher : Cambridge University Press
ISBN 13 : 1139457667
Total Pages : 269 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Protecting Information by : Susan Loepp

Download or read book Protecting Information written by Susan Loepp and published by Cambridge University Press. This book was released on 2006-07-10 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: For many everyday transmissions, it is essential to protect digital information from noise or eavesdropping. This undergraduate introduction to error correction and cryptography is unique in devoting several chapters to quantum cryptography and quantum computing, thus providing a context in which ideas from mathematics and physics meet. By covering such topics as Shor's quantum factoring algorithm, this text informs the reader about current thinking in quantum information theory and encourages an appreciation of the connections between mathematics and science.Of particular interest are the potential impacts of quantum physics:(i) a quantum computer, if built, could crack our currently used public-key cryptosystems; and (ii) quantum cryptography promises to provide an alternative to these cryptosystems, basing its security on the laws of nature rather than on computational complexity. No prior knowledge of quantum mechanics is assumed, but students should have a basic knowledge of complex numbers, vectors, and matrices.

Security-analysis of a Class of Cryptosystems Based on Linear Error-correcting Codes

Author : Johan van Tilburg
Publisher :
ISBN 13 : 9789072125453
Total Pages : 198 pages
Book Rating : 4.1/5 (254 download)

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Book Synopsis Security-analysis of a Class of Cryptosystems Based on Linear Error-correcting Codes by : Johan van Tilburg

Download or read book Security-analysis of a Class of Cryptosystems Based on Linear Error-correcting Codes written by Johan van Tilburg and published by . This book was released on 1994 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Coding Theory and Cryptology

Author : Harald Niederreiter
Publisher : World Scientific
ISBN 13 : 981448766X
Total Pages : 460 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Coding Theory and Cryptology by : Harald Niederreiter

Download or read book Coding Theory and Cryptology written by Harald Niederreiter and published by World Scientific. This book was released on 2002-12-03 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inaugural research program of the Institute for Mathematical Sciences at the National University of Singapore took place from July to December 2001 and was devoted to coding theory and cryptology. As part of the program, tutorials for graduate students and junior researchers were given by world-renowned scholars. These tutorials covered fundamental aspects of coding theory and cryptology and were designed to prepare for original research in these areas. The present volume collects the expanded lecture notes of these tutorials. The topics range from mathematical areas such as computational number theory, exponential sums and algebraic function fields through coding-theory subjects such as extremal problems, quantum error-correcting codes and algebraic-geometry codes to cryptologic subjects such as stream ciphers, public-key infrastructures, key management, authentication schemes and distributed system security. Contents:Extremal Problems of Coding Theory (A Barg)Analysis and Design Issues for Synchronous Stream Ciphers (E Dawson & L Simpson)Quantum Error-Correcting Codes (K Feng)Public Key Infrastructures (D Gollmann)Computational Methods in Public Key Cryptology (A K Lenstra)Detecting and Revoking Compromised Keys (T Matsumoto)Algebraic Function Fields Over Finite Fields (H Niederreiter)Authentication Schemes (D Y Pei)Exponential Sums in Coding Theory, Cryptology and Algorithms (I E Shparlinski)Distributed Authorization: Principles and Practice (V Varadharajan)Introduction to Algebraic Geometry Codes (C P Xing) Readership: Graduate students and researchers in number theory, discrete mathematics, coding theory, cryptology and IT security. Keywords:Coding Theory;Cryptology;Number Theory;Algebraic-Geometry Codes;Public-Key Infrastructures;Error-Correcting Codes

Foundations of Coding

Author : Jiri Adamek
Publisher : John Wiley & Sons
ISBN 13 : 1118031512
Total Pages : 352 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Foundations of Coding by : Jiri Adamek

Download or read book Foundations of Coding written by Jiri Adamek and published by John Wiley & Sons. This book was released on 2011-02-14 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although devoted to constructions of good codes for error control, secrecy or data compression, the emphasis is on the first direction. Introduces a number of important classes of error-detecting and error-correcting codes as well as their decoding methods. Background material on modern algebra is presented where required. The role of error-correcting codes in modern cryptography is treated as are data compression and other topics related to information theory. The definition-theorem proof style used in mathematics texts is employed through the book but formalism is avoided wherever possible.

Error Control, Cryptology, and Speech Compression

Author : Andrew Chmora
Publisher : Springer Science & Business Media
ISBN 13 : 9783540582656
Total Pages : 136 pages
Book Rating : 4.5/5 (826 download)

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Book Synopsis Error Control, Cryptology, and Speech Compression by : Andrew Chmora

Download or read book Error Control, Cryptology, and Speech Compression written by Andrew Chmora and published by Springer Science & Business Media. This book was released on 1994-07-28 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises a collection of papers presented at the Workshop on Information Protection, held in Moscow, Russia in December 1993. The 16 thoroughly refereed papers by internationally known scientists selected for this volume offer an exciting perspective on error control coding, cryptology, and speech compression. In the former Soviet Union, research related to information protection was often shielded from the international scientific community. Therefore, the results presented by Russian researchers and engineers at this first international workshop on this topic are of particular interest; their work defines the cutting edge of research in many areas of error control, cryptology, and speech recognition.

Foundations of Coding

Author : Jean-Guillaume Dumas
Publisher :
ISBN 13 : 9781119005940
Total Pages : pages
Book Rating : 4.0/5 (59 download)

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Book Synopsis Foundations of Coding by : Jean-Guillaume Dumas

Download or read book Foundations of Coding written by Jean-Guillaume Dumas and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Codes, Cryptology and Curves with Computer Algebra

Author : Ruud Pellikaan
Publisher : Cambridge University Press
ISBN 13 : 0521817110
Total Pages : 611 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Codes, Cryptology and Curves with Computer Algebra by : Ruud Pellikaan

Download or read book Codes, Cryptology and Curves with Computer Algebra written by Ruud Pellikaan and published by Cambridge University Press. This book was released on 2017-11-02 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.

Boolean Functions for Cryptography and Coding Theory

Author : Claude Carlet
Publisher : Cambridge University Press
ISBN 13 : 1108634664
Total Pages : 577 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Boolean Functions for Cryptography and Coding Theory by : Claude Carlet

Download or read book Boolean Functions for Cryptography and Coding Theory written by Claude Carlet and published by Cambridge University Press. This book was released on 2021-01-07 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boolean functions are essential to systems for secure and reliable communication. This comprehensive survey of Boolean functions for cryptography and coding covers the whole domain and all important results, building on the author's influential articles with additional topics and recent results. A useful resource for researchers and graduate students, the book balances detailed discussions of properties and parameters with examples of various types of cryptographic attacks that motivate the consideration of these parameters. It provides all the necessary background on mathematics, cryptography, and coding, and an overview on recent applications, such as side channel attacks on smart cards, cloud computing through fully homomorphic encryption, and local pseudo-random generators. The result is a complete and accessible text on the state of the art in single and multiple output Boolean functions that illustrates the interaction between mathematics, computer science, and telecommunications.

Protecting Information

Author : Loepp Susan Wootters William Kent
Publisher :
ISBN 13 : 9780511648533
Total Pages : 305 pages
Book Rating : 4.6/5 (485 download)

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Book Synopsis Protecting Information by : Loepp Susan Wootters William Kent

Download or read book Protecting Information written by Loepp Susan Wootters William Kent and published by . This book was released on 2014-05-14 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the transmission of information storage, preventing noise and/or eavesdropping is essential. This undergraduate introduction to quantum computing focuses on error correction and cryptography, providing a context in which ideas about mathematics, computer science and physics meet together, and students can understand the current thinking in quantum information theory.

Cryptology

Author : Richard Klima
Publisher : CRC Press
ISBN 13 : 1351692542
Total Pages : 482 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Cryptology by : Richard Klima

Download or read book Cryptology written by Richard Klima and published by CRC Press. This book was released on 2018-12-07 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Alberti, Vigenère, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as well as the Diffie-Hellman key exchange and Advanced Encryption Standard. When possible, the book details methods for breaking both classical and modern methods. The new edition expands upon the material from the first edition which was oriented for students in non-technical fields. At the same time, the second edition supplements this material with new content that serves students in more technical fields as well. Thus, the second edition can be fully utilized by both technical and non-technical students at all levels of study. The authors include a wealth of material for a one-semester cryptology course, and research exercises that can be used for supplemental projects. Hints and answers to selected exercises are found at the end of the book. Features: Requires no prior programming knowledge or background in college-level mathematics Illustrates the importance of cryptology in cultural and historical contexts, including the Enigma machine, Turing bombe, and Navajo code Gives straightforward explanations of the Advanced Encryption Standard, public-key ciphers, and message authentication Describes the implementation and cryptanalysis of classical ciphers, such as substitution, transposition, shift, affine, Alberti, Vigenère, and Hill

Enhancing Information Security and Privacy by Combining Biometrics with Cryptography

Author : Sanjay G. Kanade
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1608458474
Total Pages : 143 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Enhancing Information Security and Privacy by Combining Biometrics with Cryptography by : Sanjay G. Kanade

Download or read book Enhancing Information Security and Privacy by Combining Biometrics with Cryptography written by Sanjay G. Kanade and published by Morgan & Claypool Publishers. This book was released on 2012 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examines "crypto-biometrics", a relatively new and multi-disciplinary area of research. This etxt provides a thorough review of the subject. Beginning with the basics, this text deals with various aspects of crypto-biometrics, including review, cancelable biometrics, cryptographic key generation from biometrics, and crypto-biometric key sharing protocols.