比特币程序设计(影印版)

Foreword
Preface
1． Finite Fields
Learning Higher-Level Math
Finite Field Definition
Defining Finite Sets
Constructing a Finite Field in Python
Exercise 1
Modulo Arithmetic
Modulo Arithmetic in Python
Finite Field Addition and Subtraction
Exercise 2
Coding Addition and Subtraction in Python
Exercise 3
Finite Field Multiplication and Exponentiation
Exercise 4
Exercise 5
Coding Multiplication in Python
Exercise 6
Coding Exponentiation in Python
Exercise 7
Finite Field Division
Exercise 8
Exercise 9
Redefining Exponentiation
Conclusion

2． Elliptic Curves
Definition
Coding Elliptic Curves in Python
Exercise 1
Exercise 2
Point Addition
Math of Point Addition
Coding Point Addition
Exercise 3
Point Addition for When xl≠x2
Exercise 4
Coding Point Addition for When xl≠x2
Exercise 5
Point Addition for When P1＝P2
Exercise 6
Coding Point Addition for When P1= P2
Exercise 7
Coding One More Exception
Conclusion

3． Elliptic Curve Cryptography
Elliptic Curves over Reals
Elliptic Curves over Finite Fields
Exercise 1
Coding Elliptic Curves over Finite Fields
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