An Introduction to Mathematical Cryptography

• Main Authors: Hoffstein, Jeffrey (Author), Pipher, Jill (Author), Silverman, Joseph H. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2014.
• Edition: 2nd ed. 2014.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Data structures (Computer science).; Data encryption (Computer science).; Algebra.; Ordered algebraic structures.; Information theory.; Number theory.; Number Theory.; Data Structures, Cryptology and Information Theory.; Data Encryption.; Information and Communication, Circuits.; Order, Lattices, Ordered Algebraic Structures.

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 cr...

Table of Contents:

• Preface
• Introduction
• 1 An Introduction to Cryptography
• 2 Discrete Logarithms and Diffie-Hellman
• 3 Integer Factorization and RSA
• 4 Digital Signatures
• 5 Combinatorics, Probability, and Information Theory
• 6 Elliptic Curves and Cryptography
• 7 Lattices and Cryptography
• 8 Additional Topics in Cryptography
• List of Notation
• References
• Index.