Elliptic Curve Cryptography in Rust

سرفصل های دوره

with digital signature application

1. Course Description

1.1 Book Understanding Cryptography.html

1.2 GitHub Repository of the Elliptic Code Library.html

1. Course

2. Introduction

1.1 Book Understanding Cryptography.html

1. Infinite Groups Examples

2. Sets and Groups

3. Finite Groups Examples

4. Theorem Generate Groups under Multiplication

5. Corollary of using a prime group

6. Finite Groups Definition

7. Cyclic Groups and Generators

8. Three important Theorems

9. A Little Exercise

10. Searching for Generators in a Group

11. The Discrete Logarithm Problem

3. Elliptic Curves Cryptography (ECC)

1. Introduction to Elliptic Curves (EC)

2. Visualizing EC Operations

3. Discrete Logarithm Problem in EC

4. Coding Elliptic Curve Basic Operation

1.1 GitHub Repository of the Elliptic Curve Library.html

1. Introduction

2. Basic Structures

3. Finite Fields Operations

4. EC Point Add

5. EC Point Add Unit Tests

6. EC Point Add for Reflected Points

7. EC Point Double

8. Double and Add Algorithm

9. Double and Add Implementation

10. Fix Doubling and Add + Code Refactoring

11. Secp256k1 Curve Example

12. Handling One More Case

13. Code the case where P1 = P2 = (x, y) and y = 0.html

5. Practical Application EC Digital Signature Algorithm

1. Introduction to Digital Signature Algorithms

2. ECDSA Algorithm and Proof

3. Code Reorganization

4. ECDSA Basic Code Structure

5. ECDSA Key Pair Generation

6. ECDSA Sign Method

7. ECDSA Verify Method

8. ECDSA Secp256k1

6. Summary

1. Course Summary

45,900 تومان

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تولید کننده: Udemy