The Theory and Implementation of Supersingular Elliptic Curve Cryptosystems

Author: Xiao Ruliang
Publisher:
Publish Date: 2006-07-01
Features: This book introduces the author's achievements in the theory and implementation of hyperelliptic curve cryptography in recent years. The book is divided into eight chapters, mainly introducing the algorithmic number theory foundation of hyperelliptic curve cryptography, the cryptographic system of hyperelliptic curves, the core algorithms of divisor group operations, and the implementation techniques of hyperelliptic curve cryptography from the technical standards of ECC. It also compares hyperelliptic curve cryptography with ECC and RSA in terms of security strength, complexity, and implementation. This book can serve as a teaching reference for undergraduate and graduate students in information security, cryptography, computer science and technology, and related fields, as well as for teaching, scientific research, and engineering professionals in related fields. The book mainly introduces the algorithmic number theory foundation of hyperelliptic curve cryptography, the cryptographic system of hyperelliptic curves, the core algorithms of divisor group operations, and the implementation techniques of hyperelliptic curve cryptography from the technical standards of ECC.