Build a Elliptic Curve Digital Signature Program in Rust
Theory and Practice
Updated on Jun, 2025
Language - English
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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