Guide to pairing-based cryptography

著者

    • El Mrabet, Nadia
    • Joye, Marc

書誌事項

Guide to pairing-based cryptography

Nadia El Mrabet, Marc Joye

（Chapman & Hall/CRC cryptography and network security / Series editor, Douglas R. Stinson）

CRC Press, Taylor & Francis Group, c2017

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes. As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments in optimizations for pairing implementation. Each chapter includes a presentation of the problem it discusses, the mathematical formulation, a discussion of implementation issues, solutions accompanied by code or pseudocode, several numerical results, and references to further reading and notes. Intended as a self-contained handbook, this book is an invaluable resource for computer scientists, applied mathematicians and security professionals interested in cryptography.

目次

Introduction. Mathematical Background. Pairings. Pairing-Friendly Elliptic Curves. Miller's Algorithm. Arithmetic of Finite Fields. Final Exponentiation. Algorithms. Software Implementation. Hardware Implementation.

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