SHA-512 in Python

SHA-512 Implementation in Python Have you ever wondered how to implement SHA-512 in practice? Or how to implement SHA-512 in Python? Well, this video has the answer for you! We will review some definitions and concepts in regards to SHA-512, and we will implement it in Python during this tutorial. We will go through each component step-by-step. The aim is to keep things simple and self-contained as much as possible. Also, please do keep in mind that this video is only made for educational purposes. This implementation is not an efficient one by all means. As we will see at the end, there is a Python package built for this purpose. By the way, if you have suggestions for implementing any part differently and more efficiently, please let me know in the comments :) The code in this video can be viewed here: https://github.com/sohrabganjian/Cryp... Please note this is not an in-depth explanation of SHA-512 and how it works. If you would like to know more about SHA-512 and how the algorithm works, you can check out this playlist:    • SHA - Secure Hash Algorithm   --------------------------------------------------------------------------------------------------------------------------------------------------- 🧾 Resources: The official documentation for SHA-2 (and SHA-1!!), developed and maintained by NIST: https://nvlpubs.nist.gov/nistpubs/FIP... In this tutorial, we make use of a few Python libraries. For installation, please refer to their respective documents and guidelines: https://mpmath.org/ https://www.sympy.org/en/index.html https://docs.python.org/3/library/has... At the time of recording this video, the following versions of these packages were used: mpmath: 1.1.0 SymPy: 1.6.2 🎶 The background music is generously provided by Gilopaolo:   / gilopaolo   --------------------------------------------------------------------------------------------------------------------------------------------------- Lastly, I would like to thank you for coming here to learn more about cryptography! 📂 00:00:00 - Introduction and overview 00:03:22 - Required Packages 00:05:14 - Preprocessing; Preliminary Set-up 00:10:38 - Preprocessing; Solving Congruence Equations in Python 00:18:44 - Preprocessing; Putting everything together 00:21:39 - Initial Vector and Primes 00:34:28 - Logical Functions; Building Blocks 00:49:16 - Logical Functions; Main Functions 01:05:15 - SHA-512 Algorithm; an Overview 01:06:16 - SHA-512 Algorithm; Message Schedule 01:12:32 - SHA-512 Algorithm; Initialize Eight Working Variables 01:15:55 - SHA-512 Algorithm; Inner for-loop 01:33:28 - SHA-512 Algorithm; Update Hash Values 01:40:44 - An alternative; Python Library for Hash Algorithm 01:44:00 - Concluding Remarks