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!

Chalk Talk
75.5K views • Jan 5, 2023

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)
________
Post-Quantum Cryptography: https://youtu.be/_C5dkUiiQnw
Lattice-Based Cryptography: https://youtu.be/QDdOoYdb748
________
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
________
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
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)
________
Post-Quantum Cryptography: https://youtu.be/_C5dkUiiQnw
Lattice-Based Cryptography: https://youtu.be/QDdOoYdb748
________
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
________
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
User Reviews
4.7
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