RSA Algorithm Explained + implementation

Get ready for an eye-opening journey as I unravel the intricate workings of the RSA cryptosystem in this video.

🔒 What You'll Discover:
Ever been curious about how our online data and communication stay secure? I've got your back! Let's start by delving into the real-world issue that cryptosystems are designed to solve. This will set the stage for our exploration of the RSA world.

🔐 Exploring Cryptosystems:
Cryptosystems come in all shapes and sizes. I'll walk you through the various types, providing you with a clearer understanding of where RSA fits into the larger picture of safeguarding data.

🧮 Laying the Foundation:
Before we dive into RSA, it's important to grasp the core mathematical concepts that underpin its functionality. Don't worry – I'll guide you through these fundamentals to ensure you're well-prepared.

🔑 Decoding RSA:
The highlight of this video is our detailed breakdown of the RSA cryptosystem. Using intuitive explanations and helpful visuals, I'll simplify the complexities, allowing you to fully comprehend how this robust encryption method operates.

💻 Getting Hands-On:
Theory meets practice as we roll up our sleeves and write actual code to demonstrate RSA's inner workings. Witness firsthand how the concepts we've covered come together, providing a secure digital communication channel.

🔍 Who Can Benefit:
If you're a cryptography enthusiast, a curious learner, or someone who wants to grasp how online information remains confidential, this video is tailor-made for you. No previous cryptography knowledge is necessary – I'll start from scratch and guide you all the way.

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Timecodes
00:00 - Intro
00:22 - What is RSA?
00:44 - What problem RSA solves?
01:34 - Three types of cryptosystems
04:57 - Euler's Totient Function
07:13 - Euler's Theorem
08:58 - The idea in RSA
13:43 - Extended Euclidean Algorithm
15:15 - Recap
16:17 - Public and Private Key in RSA
17:57 - How hard is factorization of n?
20:20 - Defining the RSA cryptosystem
21:18 - RSA Example
23:24 - How to find large prime numbers?
24:23 - Probability of choosing a prime number at random
25:04 - Time Complexity
28:33 - Example RSA implementation
31:52 - Outro

[zagortenej]

Dude, you're a beast! You take any concept and break it down so smoothly.

[shawonmajid]

Very nice explanation. I had the same questions when I read about RSA. Most of the blog / video talk about the procedure of RSA but do not point out the questions!

[jernejoblak]

Just one correction: the Euler's totient function is multiplicative, but only when the numbers are relatively prime, so: gcd(a, b) = 1 -> phi(a*b) = phi(a) * phi(b). Otherwise a great explanation of the RSA algorithm!

[DesyncX]

An awesome explanation!
I wish I had this in university. I never got the intuition behind RSA encryption back then.

[bkclcsu]

you are a life savior man. pls make more videos on number theory concepts.

[sourabhjana]

A small suggesation
I think you should name your channel as HDIW? or HOW or How does it works. 😎
your are doing awesome work 👍