Elliptical Curve Cryptography

After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism. Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment.

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.

A broad-ranging expository guidebook on EEC cryptosystems and technology, written by leading EEC researchers and authorities. All aspects of the topic are clearly presented (accessible technical level, i.e., B.S. degree), with plenty of supporting real-world examples. An essential reference for practitioners or professionals in computer science, computer engineering, network design, and network/data security, as well as a useful self-study resource for researchers.

Private and Public Key Cryptosystems, DES, AES, Cryptoanalysis, RSA, Elliptic Curve Cryptography and Hashing