Rational points on elliptic curves

Contents 1 Geometry and arithmetic 2 Points of finite order 3 The group of rational points 4 Cubic curves over finite fields 5 Integer points on cubic curves 6 Complex multiplication

Elliptic curves: number theory and cryptography

INTRODUCTION
THE BASIC THEORY
Weierstrass Equations
The Group Law
Projective Space and the Point at Infinity
Proof of Associativity
Other Equations for Elliptic Curves
Other Coordinate Systems
The j-Invariant
Elliptic Curves in Characteristic 2
Endomorphisms
Singular Curves
Elliptic Curves mod n
TORSION POINTS
T…

Handbook of elliptic and hiperellectic curve cryptography

1. Introduction to Public-Key Cryptography Mathematical Background 2. Algebraic Background 3. Background on p-adic Numbers 4. Background on Curves and Jacobians 5. Varieties Over Special Fields 6. Background on Pairings 7. Background on Weil Descent 8. Cohomological Background on Point Counting Elementary Arithmetic 9. Exponentiation 10. Integer Arithmetic 11. Finite Field A…

Elliptic curves: number theory and cryptography

Edition

First Edition

ISBN/ISSN

1584883650

Collation

xi, 428 hlm.; 24 cm.

Series Title

-

Call Number

516.3 WAS e

Advances in elliptic curve cryptography

Edition

-

ISBN/ISSN

9780521604154

Collation

xvi, 281 hlm.; 23 cm.

Series Title

Lecture note series

Call Number

516.3 BLA a

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 In…

Elliptic curves

Anak judul: number theory and cryptography. INTRODUCTION
THE BASIC THEORY
< >Weierstrass Equations
< >The Group Law
< >Projective Space and the Point at Infinity
< >Proof of Associativity
< >Other Equations for Elliptic Curves
< >Other Coordinate Systems
< >The j-Invariant
< >Elliptic Curves in Characteristic 2
<…