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The subject of this thesis is the study of cryptographic hash functions. The importance of hash functions for protecting the authenticity of information is demonstrated. Applications include integrity protection, conventional message authentication and digital signatures. Theoretical results on cryptographic hash functions are reviewed. The information theoretic approach to authentication is described, and the practicality of schemes based on universal hash functions is studied. An overview is given of the complexity theoretic definitions and constructions. The main contribution of this thesis lies in the study of practical constructions for hash functions. A general model for hash functions is proposed and a taxonomy for attacks is presented. Then all schemes in the literature are divided into three classes: hash functions based on block ciphers, hash functions based on modular arithmetic and dedicated hash functions. An overview is given of existing attacks, new attacks are demonstrated, and new schemes are proposed.
The study of basic building blocks of cryptographic hash functions leads to the study of the cryptographic properties of Boolean functions. New criteria are defined
and functions satisfying new and existing criteria are studied.

Although much literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of the relevant information available on public-key cryptography (PKC), from RSA to the latest applications of PKC, including electronic cash, secret broadcasting, secret balloting systems, various banking and payment protocols, high security logins, smart cards, and biometrics. Moreover, he covers public-key infrastructure (PKI) and its various security applications. Throughout the book, Mollin gives a human face to cryptography by including nearly 40 biographies of the individuals who helped develop cryptographic concepts. He includes a number of illustrative and motivating examples, as well as optional topics that go beyond the basics, such as Lenstra's elliptic curve method and the number field sieve. From history and basic concepts to future trends and emerging applications, this book provides a rigorous and detailed treatment of public-key cryptography. Accessible to anyone from the senior undergraduate to the research scientist, RSA and Public-Key Cryptography offers challenging and inspirational material for all readers.

This is the unique book on cross-fertilisations between stream ciphers and number theory. It systematically and comprehensively covers known connections between the two areas that are available only in research papers. Some parts of this book consist of new research results that are not available elsewhere. In addition to exercises, over thirty research problems are presented in this book. In this evised edition almost every chapter was updated, and some chapters were completely rewritten. It is useful as a textbook for a graduate course on the subject, as well as a reference book for researchers in related fields.

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.

The discrete logarithm problem based on elliptic and hyperelliptic curves has gained a lot of popularity as a cryptographic primitive. The main reason is that no subexponential algorithm for computing discrete logarithms on small genus curves is currently available, except in very special cases. Therefore curve-based cryptosystems require much smaller key sizes than RSA to attain the same security level. This makes them particularly attractive for implementations on memory-restricted devices like smart cards and in high-security applications.

Изложены свойства и конструкции безусловно стойких шифров, названных К.Шенноном совершенными по отношению к различным криптоатакам. Выделяются совершенные шифры с минимально возможным числом ключей, а также стойкие к попыткам обмана со стороны злоумышленника.

Для научных работников, аспирантов, специализирующихся в области математических проблем криптографии, преподавателей и студентов, изучающих дисциплину `Криптографические методы защиты информации` по специальностям `Компьютерная безопасность`, `Комплексное обеспечение безопасности автоматизированных систем`, `Информационная безопасность телекоммуникационных систем`.

Эта книга — подробное руководство по применению средств безопасности в Windows Vista — новейшей операционной системы семейства Windows. В ней рассказывается обо всех изменениях, внесенных на уровне кода в Windows Vista с целью устранения возможных дефектов защиты, в том числе об управлении учетными записями пользователей, маркерах пользователей, уровнях целостности, а также о рандомизации адресного пространства и других средствах предотвращения переполнения буферов. Подробно описано, как создавать сетевые приложения и службы и задействовать новые средства защиты Internet Explorer 7. Раскрыты новая криптографическая архитектура, а также аутентификация, авторизация и управление сертификатами в Windows Vista.
Книга предназначена для программистов и архитекторов, создающих программы для Windows Vista.

In the public eye, the word cryptography is virtually synonymous with security. The field as a whole is hailed as the primary enabling technology for electronic commerce, and provides for confidential as well as authentic digital communications. However, all that glitters is not gold, and Malicious Cryptography is the first book to reveal just how dark the dark side of cryptography truly is. The book presents a series of advanced cryptographic payloads for computer viruses, worms, and Trojan horse programs that are specifically tailored for their hosts. It also covers numerous countermeasures that can help protect against such attacks.

Монография американского специалиста описывает введение в компьютерную алгебру, основные результаты и приложения. В ней содержится материал, дополняющий литературу на русском языке по данной тематике: вычисление полиномиальных остатков, нахождение корней многочленов с высокой точностью и др. Изложение иллюстрируется большим числом примеров, дается много задач для самостоятельного решения.
Для разных специалистов, занимающихся разработкой и реализацией алгоритмов компьютерной алгебры, для аспирантов и студентов университетов.

`…Это книга, которую Агентство Национальной Безопасности США никогда не хотело бы увидеть опубликованной…`. Именно так охарактеризовал данное издание один из американских журналов.
Книга предназначена современным программистам и инженерам, которым необходимо использовать криптографию. До появления настоящей монографии практикам приходилось тратить многие часы на поиск и изучение научной литературы, прежде чем они могли приступить к разработке криптографических приложений. Именно этот пробел восполняет книга Брюса Шнайера (Bruce Schneier) «Прикладная криптография» (Applied Cryptography). Начав с целей засекречивания передачи данных и простейших примеров программ для достижения этих целей, Шнайер разворачивает перед читателем всю панораму практических результатов 20 лет исследований.
Это самая читаемая книга по криптографии в мире. Теперь на русском языке.