Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 Introduction
- PART I BACKGROUND
- 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
- PART IV LATTICES
- PART V CRYPTOGRAPHY RELATED TO DISCRETE LOGARITHMS
- PART VI CRYPTOGRAPHY RELATED TO INTEGER FACTORISATION
- PART VII ADVANCED TOPICS IN ELLIPTIC AND HYPERELLIPTIC CURVES
- Appendix A Background mathematics
- References
- Author index
- Subject index
9 - Elliptic curves
from PART II - ALGEBRAIC GROUPS
Published online by Cambridge University Press: 05 June 2012
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 Introduction
- PART I BACKGROUND
- 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
- PART IV LATTICES
- PART V CRYPTOGRAPHY RELATED TO DISCRETE LOGARITHMS
- PART VI CRYPTOGRAPHY RELATED TO INTEGER FACTORISATION
- PART VII ADVANCED TOPICS IN ELLIPTIC AND HYPERELLIPTIC CURVES
- Appendix A Background mathematics
- References
- Author index
- Subject index
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Mathematics of Public Key Cryptography , pp. 138 - 177Publisher: Cambridge University PressPrint publication year: 2012