The Mathematics Of Encryption
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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.
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.
The Mathematics Of Secrets
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Author : Joshua Holden
language : en
Publisher: Princeton University Press
Release Date : 2018-10-02
The Mathematics Of Secrets written by Joshua Holden and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-02 with Computers categories.
Explaining the mathematics of cryptography The Mathematics of Secrets takes readers on a fascinating tour of the mathematics behind cryptography—the science of sending secret messages. Using a wide range of historical anecdotes and real-world examples, Joshua Holden shows how mathematical principles underpin the ways that different codes and ciphers work. He focuses on both code making and code breaking and discusses most of the ancient and modern ciphers that are currently known. He begins by looking at substitution ciphers, and then discusses how to introduce flexibility and additional notation. Holden goes on to explore polyalphabetic substitution ciphers, transposition ciphers, connections between ciphers and computer encryption, stream ciphers, public-key ciphers, and ciphers involving exponentiation. He concludes by looking at the future of ciphers and where cryptography might be headed. The Mathematics of Secrets reveals the mathematics working stealthily in the science of coded messages. A blog describing new developments and historical discoveries in cryptography related to the material in this book is accessible at http://press.princeton.edu/titles/10826.html.
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.
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.
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.
Understanding Cryptography
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Author : Christof Paar
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-27
Understanding Cryptography written by Christof Paar 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 2009-11-27 with Computers categories.
Cryptography is now ubiquitous – moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a comprehensive understanding of applied cryptography. After an introduction to cryptography and data security, the authors explain the main techniques in modern cryptography, with chapters addressing stream ciphers, the Data Encryption Standard (DES) and 3DES, the Advanced Encryption Standard (AES), block ciphers, the RSA cryptosystem, public-key cryptosystems based on the discrete logarithm problem, elliptic-curve cryptography (ECC), digital signatures, hash functions, Message Authentication Codes (MACs), and methods for key establishment, including certificates and public-key infrastructure (PKI). Throughout the book, the authors focus on communicating the essentials and keeping the mathematics to a minimum, and they move quickly from explaining the foundations to describing practical implementations, including recent topics such as lightweight ciphers for RFIDs and mobile devices, and current key-length recommendations. The authors have considerable experience teaching applied cryptography to engineering and computer science students and to professionals, and they make extensive use of examples, problems, and chapter reviews, while the book’s website offers slides, projects and links to further resources. This is a suitable textbook for graduate and advanced undergraduate courses and also for self-study by engineers.
Computational Cryptography
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Author : Joppe Bos
language : en
Publisher:
Release Date : 2021-12-09
Computational Cryptography written by Joppe Bos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-09 with Language Arts & Disciplines categories.
The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.