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 Logarithm…
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 al…