Build a Elliptic Curve Digital Signature Program in Rust
Theory and Practice
IT and Software ,Other IT and Software,
Lectures -36
Duration -6 hours
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Course Description
This course teaches you how elliptic curve groups work together with finite fields and how to implement a Rust library from scratch to perform basic groups' operations. Additionally, you will learn how to use EC groups in digital signature algorithms and extend its usage to other crypto-systems. The course provides both: theoretical and practical examples on every topic that is discussed.
Goals
1. Understand the theory behind finite cyclic groups and discrete logarithm problem.
2. Develop an Elliptic Curve library in Rust.
3. Implement a digital signature application based on elliptic curves for signing and verifying messages digitally.

Curriculum
Check out the detailed breakdown of what’s inside the course
Math for Cryptography
12 Lectures
-
Course Organization 03:51 03:51
-
Sets and Groups 08:04 08:04
-
Infinite Groups 05:28 05:28
-
Finite Groups 07:39 07:39
-
Theorem to Generate Abelian Groups 04:59 04:59
-
Groups based on Prime Numbers 01:18 01:18
-
Useful definitions about Finite Groups 05:54 05:54
-
Cyclic Groups and Generators 08:17 08:17
-
Three important Theorems about Groups 08:27 08:27
-
Quick exercise 04:44 04:44
-
Searching for Generators 09:40 09:40
-
The Discrete Logarithm Problem 10:00 10:00
Elliptic Curve Cryptography
3 Lectures

Build an Elliptic Curve Library
12 Lectures

Digital Signature Program
9 Lectures

Instructor Details

Guido Giuntoli
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