An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)

Silverman, J.H.,Pipher, Jill,Hoffstein, Jeffrey

ISBN 10: 0387779930 / ISBN 13: 9780387779935

Published by Springer, 2008

About this Item

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Bibliographic Details

• Title: An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)
• Publisher: Springer
• Publication Date: 2008
• Language: English
• ISBN 10: 0387779930
• ISBN 13: 9780387779935
• Binding: Hardcover
• Condition: Good

About this title

Synopsis

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.

From the Back Cover

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.

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 recent cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem.

This book is 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.