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Implementing elliptic curve cryptography

Implementing elliptic curve cryptography

Michael Rosing

300 pages, parution le 12/11/1998

Résumé

Implementing Elliptic Curve Cryptography proceeds step-by-step to explain basic number theory, polynomial mathematics, normal basis mathematics and elliptic curve mathematics. With these in place, applications to cryptography are introduced. The book is filled with C code to illustrate how mathematics is put into a computer, and the last several chapters show how to implement several cryptographic protocols. The most important is a description of P1363, an IEEE draft standard for public key cryptography.

The main purpose of Implementing Elliptic Curve Cryptography is to help 'crypto engineers' implement functioning, state-of-the-art cryptographic algorithms in the minimum time. With detailed descriptions of the mathematics, the reader can expand on the code given in the book and develop optimal hardware or software for their own applications.

Implementing Elliptic Curve Cryptography assumes the reader has at least a high school background in algebra, but it explains, in stepwise fashion, what has been considered to be a topic only for graduate-level students.

Table of contents :
Chapter 1: Introduction ..... 1
Chapter 2: Basics of number theory ..... 13
Chapter 3: Polynomial math over finite fields ..... 47
Chapter 4: Normal basis mathematics ..... 75
Chapter 5: Elliptic curves ..... 103
Chapter 6: Cryptography ..... 129
Chapter 7: Simple protocols ..... 165
Chapter 8: Elliptic curve encryption ..... 199
Chapter 9: Advanced protocols, key exchange ..... 221
Chapter 10: Advanced protocols, signatures ..... 255
Chapter 11: The bleeding edge ..... 283
Chapter 12: A simple application ..... 301
Index ..... 309

Caractéristiques techniques

  PAPIER
Éditeur(s) Manning Publications
Auteur(s) Michael Rosing
Parution 12/11/1998
Nb. de pages 300
Format 229 x 192
EAN13 9781884777691

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