Unlocking Secure Encryption: The Power of Learning with Errors (LWE) 🔐

Discover how the Learning with Errors scheme uses equations and linear algebra to create robust encryption methods, including lattices and more. Perfect for enthusiasts of cryptography and math!

Unlocking Secure Encryption: The Power of Learning with Errors (LWE) 🔐
Chalk Talk
75.5K views • Jan 5, 2023
Unlocking Secure Encryption: The Power of Learning with Errors (LWE) 🔐

About this video

Learning with errors scheme.

This video uses only equations, but you can use the language of linear algebra (matrices, dot products) to discuss lattices and learning with errors. Check out the resources below for more information.

Created by Kelsey Houston-Edwards (www.kelseyhoustonedwards.com)

Sponsored by Wire (www.wire.com)
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Post-Quantum Cryptography: https://youtu.be/_C5dkUiiQnw
Lattice-Based Cryptography: https://youtu.be/QDdOoYdb748

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Timestamps
0:00 - Introduction
0:35 - Learning without errors
1:58 - Introducing errors
3:36 - Modular arithmetic
3:59 - Encrypting 0 or 1
7:14 - Relationship to lattices

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Modular arithmetic (wiki): https://en.wikipedia.org/wiki/Modular_arithmetic
Modular arithmetic (Khan Academy): https://www.khanacademy.org/computing/computer-science/cryptography/modarithmetic/a/what-is-modular-arithmetic
Modular arithmetic (video, blackpenredpen): https://www.youtube.com/watch?v=6dZLq77gSGU

LWE (expository notes): https://cims.nyu.edu/~regev/papers/lwesurvey.pdf
LWE (lecture): https://www.youtube.com/watch?v=K_fNK04yG4o
Encryption from LWE (lecture notes): https://courses.grainger.illinois.edu/cs598dk/fa2019/Files/lecture10.pdf

Kyber (website): https://pq-crystals.org/kyber/index.shtml

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Video Information

Views

75.5K

Likes

3.7K

Duration

9:46

Published

Jan 5, 2023

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