An introduction to mathematical cryptography

Resource Information

The work An introduction to mathematical cryptography represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

An introduction to mathematical cryptography

Statement of responsibility

Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman

Creator

• Hoffstein, Jeffrey

Contributor

• Silverman, Joseph H., 1955-
• Pipher, Jill Catherine, 1955-

Author

• Hoffstein, Jeffrey
• Pipher, Jill Catherine, 1955-
• Silverman, Joseph H., 1955-

Subject

• Data Encryption
• Data Structures, Cryptology and Information Theory
• Information and Communication, Circuits
• Mathematics
• Number Theory
• Order, Lattices, Ordered Algebraic Structures
• Physical Sciences & Mathematics
• Algebra
• Cryptography -- Mathematics
• Cryptography -- Mathematics
• Cryptography -- Mathematics

Language

eng

Summary

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

Member of

• Undergraduate texts in mathematics

Cataloging source

GW5XE

Dewey number

652.80151

Illustrations

illustrations

Index

index present

Language note

English

LC call number

QA268

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Undergraduate texts in mathematics