An Introduction To Mathematical Cryptography
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An Introduction To Mathematical Cryptography
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Author : Jeffrey Hoffstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-15
An Introduction To Mathematical Cryptography written by Jeffrey Hoffstein 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 2008-12-15 with Mathematics categories.
An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.
An Introduction To Mathematical Cryptography
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Author : Jeffrey Hoffstein
language : en
Publisher: Springer
Release Date : 2014-09-11
An Introduction To Mathematical Cryptography written by Jeffrey Hoffstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Mathematics categories.
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.
Mathematics Of Public Key Cryptography
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Author : Steven D. Galbraith
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-15
Mathematics Of Public Key Cryptography written by Steven D. Galbraith 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 2012-03-15 with Computers categories.
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
The Mathematics Of Encryption
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Author : Margaret Cozzens
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-09-05
The Mathematics Of Encryption written by Margaret Cozzens and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-05 with Business & Economics categories.
How quickly can you compute the remainder when dividing by 120143? Why would you even want to compute this? And what does this have to do with cryptography? Modern cryptography lies at the intersection of mathematics and computer sciences, involving number theory, algebra, computational complexity, fast algorithms, and even quantum mechanics. Many people think of codes in terms of spies, but in the information age, highly mathematical codes are used every day by almost everyone, whether at the bank ATM, at the grocery checkout, or at the keyboard when you access your email or purchase products online. This book provides a historical and mathematical tour of cryptography, from classical ciphers to quantum cryptography. The authors introduce just enough mathematics to explore modern encryption methods, with nothing more than basic algebra and some elementary number theory being necessary. Complete expositions are given of the classical ciphers and the attacks on them, along with a detailed description of the famous Enigma system. The public-key system RSA is described, including a complete mathematical proof that it works. Numerous related topics are covered, such as efficiencies of algorithms, detecting and correcting errors, primality testing and digital signatures. The topics and exposition are carefully chosen to highlight mathematical thinking and problem solving. Each chapter ends with a collection of problems, ranging from straightforward applications to more challenging problems that introduce advanced topics. Unlike many books in the field, this book is aimed at a general liberal arts student, but without losing mathematical completeness.
Introduction To Cryptography
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Author : Johannes Buchmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Introduction To Cryptography written by Johannes Buchmann 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 2013-12-01 with Mathematics categories.
Cryptography is a key technology in electronic key systems. It is used to keep data secret, digitally sign documents, access control, and so forth. Users therefore should not only know how its techniques work, but they must also be able to estimate their efficiency and security. Based on courses taught by the author, this book explains the basic methods of modern cryptography. It is written for readers with only basic mathematical knowledge who are interested in modern cryptographic algorithms and their mathematical foundation. Several exercises are included following each chapter. This revised and extended edition includes new material on the AES encryption algorithm, the SHA-1 Hash algorithm, on secret sharing, as well as updates in the chapters on factoring and discrete logarithms.
A Course In Number Theory And Cryptography
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Author : Neal Koblitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Course In Number Theory And Cryptography written by Neal Koblitz 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 2012-12-06 with Mathematics categories.
The purpose of this book is to introduce the reader to arithmetic topics, both ancient and modern, that have been at the center of interest in applications of number theory, particularly in cryptography. Because number theory and cryptography are fast-moving fields, this new edition contains substantial revisions and updated references.
Serious Cryptography 2nd Edition
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Author : Jean-Philippe Aumasson
language : en
Publisher: No Starch Press
Release Date : 2024-10-15
Serious Cryptography 2nd Edition written by Jean-Philippe Aumasson and has been published by No Starch Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Computers categories.
Crypto can be cryptic. Serious Cryptography, 2nd Edition arms you with the tools you need to pave the way to understanding modern crypto. This thoroughly revised and updated edition of the bestselling introduction to modern cryptography breaks down fundamental mathematical concepts without shying away from meaty discussions of how they work. In this practical guide, you’ll gain immeasurable insight into topics like authenticated encryption, secure randomness, hash functions, block ciphers, and public-key techniques such as RSA and elliptic curve cryptography. You’ll find coverage of topics like: The basics of computational security, attacker models, and forward secrecy The strengths and limitations of the TLS protocol behind HTTPS secure websites Quantum computation and post-quantum cryptography How algorithms like AES, ECDSA, Ed25519, Salsa20, and SHA-3 work Advanced techniques like multisignatures, threshold signing, and zero-knowledge proofs Each chapter includes a discussion of common implementation mistakes using real-world examples and details what could go wrong and how to avoid these pitfalls. And, true to form, you’ll get just enough math to show you how the algorithms work so that you can understand what makes a particular solution effective—and how they break. NEW TO THIS EDITION: This second edition has been thoroughly updated to reflect the latest developments in cryptography. You’ll also find a completely new chapter covering the cryptographic protocols in cryptocurrency and blockchain systems. Whether you’re a seasoned practitioner or a beginner looking to dive into the field, Serious Cryptography will demystify this often intimidating topic. You’ll grow to understand modern encryption and its applications so that you can make better decisions about what to implement, when, and how.
An Introduction To Cryptography
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Author : Richard A. Mollin
language : en
Publisher: CRC Press
Release Date : 2006-09-18
An Introduction To Cryptography written by Richard A. Mollin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-18 with Computers categories.
Continuing a bestselling tradition, An Introduction to Cryptography, Second Edition provides a solid foundation in cryptographic concepts that features all of the requisite background material on number theory and algorithmic complexity as well as a historical look at the field. With numerous additions and restructured material, this edition
Introduction To Modern Cryptography
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Author : Jonathan Katz
language : en
Publisher: CRC Press
Release Date : 2020-12-21
Introduction To Modern Cryptography written by Jonathan Katz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-21 with Computers categories.
Now the most used texbook for introductory cryptography courses in both mathematics and computer science, the Third Edition builds upon previous editions by offering several new sections, topics, and exercises. The authors present the core principles of modern cryptography, with emphasis on formal definitions, rigorous proofs of security.
Introduction To Cryptography With Mathematical Foundations And Computer Implementations
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Author : Alexander Stanoyevitch
language : en
Publisher:
Release Date : 2024-10-14
Introduction To Cryptography With Mathematical Foundations And Computer Implementations written by Alexander Stanoyevitch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-14 with Computers categories.
This self-contained introduction provides a focused tour of the central concepts of cryptography. It delineates cryptographic concepts in chronological order, developing the mathematics as needed. The text includes numerous examples and exercises, along with computer implementation sections that guide readers through the process of writing their