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Mathematics of publics key cryptography

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1. Introduction

Part I. Background:
2. Basic algorithmic number theory
3. Hash functions and MACs

Part II. Algebraic Groups:
4. Preliminary remarks on algebraic groups
5. Varieties
6. Tori, LUC and XTR
7. Curves and divisor class groups
8. Rational maps on curves and divisors
9. Elliptic curves
10. Hyperelliptic curves

Part III. Exponentiation, Factoring and Discrete Logarithms:
11. Basic algorithms for algebraic groups
12. Primality testing and integer factorisation using algebraic groups
13. Basic discrete logarithm algorithms
14. Factoring and discrete logarithms using pseudorandom walks
15. Factoring and discrete logarithms in subexponential time

Part IV. Lattices:
16. Lattices
17. Lattice basis reduction
18. Algorithms for the closest and shortest vector problems
19. Coppersmith's method and related applications

Part V. Cryptography Related to Discrete Logarithms:
20. The Diffie

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Detail Information

Series Title

null

Call Number

003.5 GAL m

Publisher

New York : Cambridge., 2012

Collation

xiv, 615 hal.;ilus.;25cm

Language

English

ISBN/ISSN

9781107013926

Classification

003.5

Content Type

-

Media Type

-

Carrier Type

-

Edition

first

Subject(s)

Coding Theory
Cryptography Mathematic

Specific Detail Info

-

Statement of Responsibility

Steven D. Galbraith

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