2.1 Elliptic Curve Addition: A Geometric Approach
2.1.1 Adding distinct points P and Q 2.1.2 Adding the points P and P 2.1.3 Doubling the point P 2.1.4 Doubling P if y P = 0
2.2 Elliptic Curve Addition: An Algebraic Approach 2.2.1 Adding distinct points P and Q 2.2.2 Doubling the point P
2.3 Experiment: An Elliptic Curve Model (real numbers) 2.4 Quiz 1 Elliptic curve groups over real numbers
3.1 An Example of an Elliptic Curve Group over Fp
3.2 Arithmetic in an Elliptic Curve Group over Fp 3.2.1 Adding distinct points P and Q 3.2.2 Doubling the point P
3.3 Experiment: An Elliptic Curve Model (over Fp) 3.4 Quiz 2 Elliptic curve groups over Fp
4.1 An Example of an Elliptic Curve Group over F 2 m
4.2 Arithmetic in an Elliptic Curve Group over F 2 m 4.2.1 Adding the distinct points P and Q 4.2.2 Doubling the point P
4.3 Experiment: An Elliptic Curve Model (over F 2 m ) 4.4 Quiz 3 Elliptic curve groups over F 2 m
5.1 Scalar Multiplication
5.2 The Elliptic Curve Discrete Logarithm Problem 5.3 An Example of the Elliptic Curve Discrete Logarithm Problem 5.3.1 An ECDLP Solution
