Text

Guide to elliptic curve cryptography

---

Termasuk bibliografi dan indeks.

CONTENTS:

1 Introduction and Overview

< >1.1 Cryptography basics

< >1.2 Public-key cryptography

< >< >1.2.1 RSAsystems

< >< >1.2.2 Discrete logarithmsystems

< >< >1.2.3 Elliptic curve systems

< >1.3 Why elliptic curve cryptography?

< >1.4 Roadmap

< >1.5 Notes and further references


2 Finite Field Arithmetic

< >2.1 Introduction to finite fields

< >2.2 Primefieldarithmetic

< >< >2.2.1 Addition and subtraction

< >< >2.2.2 Integer multiplication

< >< >2.2.3 Integer squaring

< >< >2.2.4 Reduction

< >< >2.2.5 Inversion

< >< >2.2.6 NISTprimes

< >2.3 Binary field arithmetic

< >< >2.3.1 Addition

< >< >2.3.2 Multiplication

< >< >2.3.3 Polynomial multiplication

< >< >2.3.4 Polynomial squaring

< >< >2.3.5 Reduction

< >< >2.3.6 Inversion and division

< >2.4 Optimal extension field arithmetic

< >< >2.4.1 Addition and subtraction

< >< >2.4.2 Multiplication and reduction

< >< >2.4.3 Inversion

< >2.5 Notes andfurther references


3 Elliptic Curve Arithmetic

< >3.1 Introduction to elliptic curves

< >< >3.1.1 Simplified Weierstrass equations

< >< >3.1.2 Group law

< >< >3.1.3 Group order

< >< >3.1.4 Group structure

< >< >3.1.5 Isomorphism classes

< >3.2 Point representation and the group law

< >< >3.2.1 Projective coordinates

< >< >3.2.2 The elliptic curve y2 = x3 +ax +b

< >< >3.2.3 The elliptic curve y2 +xy = x3 +ax2 +b

< >3.3 Point multiplication

< >< >3.3.1 Unknown point

< >< >3.3.2 Fixed point

< >< >3.3.3 Multiple point multiplication

< >3.4 Koblitz curves

< >< >3.4.1 The Frobenius map and the ring Z[

---

Availability

Detail Information

Series Title

null

Call Number

005.82 HAN g

Publisher

New York : Springer., 2010

Collation

xx, 311 hlm.; ilus.; 23 cm.

Language

English

ISBN/ISSN

9781441929297

Classification

005.82

Content Type

-

Media Type

-

Carrier Type

-

Edition

null

Subject(s)

Computer security
Public Key Cryptography

Specific Detail Info

-

Statement of Responsibility

Darrel Hankerson, dkk.

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment