An Introduction to Mathematical Cryptography

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Release : 2014-09-11
Genre : Mathematics
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Book Rating : 110/5 ( reviews)

An Introduction to Mathematical Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematical Cryptography write by Jeffrey Hoffstein. This book was released on 2014-09-11. An Introduction to Mathematical Cryptography available in PDF, EPUB and Kindle. 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.

Introduction to Modern Cryptography

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Release : 2020-12-21
Genre : Computers
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Book Rating : 012/5 ( reviews)

Introduction to Modern Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Modern Cryptography write by Jonathan Katz. This book was released on 2020-12-21. Introduction to Modern Cryptography available in PDF, EPUB and Kindle. 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

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Release : 2013-12-01
Genre : Mathematics
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Book Rating : 038/5 ( reviews)

Introduction to Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Cryptography write by Johannes Buchmann. This book was released on 2013-12-01. Introduction to Cryptography available in PDF, EPUB and Kindle. 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. From the reviews: "Gives a clear and systematic introduction into the subject whose popularity is ever increasing, and can be recommended to all who would like to learn about cryptography." --ZENTRALBLATT MATH

Understanding Cryptography

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Release : 2009-11-27
Genre : Computers
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Book Rating : 019/5 ( reviews)

Understanding Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Understanding Cryptography write by Christof Paar. This book was released on 2009-11-27. Understanding Cryptography available in PDF, EPUB and Kindle. 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.

A Classical Introduction to Cryptography

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Release : 2005-09-16
Genre : Computers
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Book Rating : 647/5 ( reviews)

A Classical Introduction to Cryptography - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Classical Introduction to Cryptography write by Serge Vaudenay. This book was released on 2005-09-16. A Classical Introduction to Cryptography available in PDF, EPUB and Kindle. A Classical Introduction to Cryptography: Applications for Communications Security introduces fundamentals of information and communication security by providing appropriate mathematical concepts to prove or break the security of cryptographic schemes. This advanced-level textbook covers conventional cryptographic primitives and cryptanalysis of these primitives; basic algebra and number theory for cryptologists; public key cryptography and cryptanalysis of these schemes; and other cryptographic protocols, e.g. secret sharing, zero-knowledge proofs and undeniable signature schemes. A Classical Introduction to Cryptography: Applications for Communications Security is designed for upper-level undergraduate and graduate-level students in computer science. This book is also suitable for researchers and practitioners in industry. A separate exercise/solution booklet is available as well, please go to www.springeronline.com under author: Vaudenay for additional details on how to purchase this booklet.