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how can we do this for module lwe?

Hi Jean-Francoise, I would like to thank you for sharing this amazing content on Lattice based cryptography , I just have one question ...based on the assumptions of the proof that works out the bound on lambda(L) @15: 34 , shouldn't the Volume of the hypercube be greater than 2^n * Vol (L) for Minkowski's theorem to be applicable ?

When using the primal attack for MLWE, do you just plug A' found from the circulant matrix into the lattice (Im x n A'), or do you substitute A' as A from the LWE example?

at 21:36, can you please explain how we got the A matrix? Thanks!

Arlie Ports

Jude Circle

Tierra Path

Well explained & taught 😊

Cryptosystems😊

Go bulls lol

Do you have a source, explaining why this works?

thank you very much

too hard!

at 6:08, why is Span(S) = R^3 and not Z^3? While V = R^3, the vectors are a subset of R (specifically, in Z), so wouldn't Span(S) be Z, since we're just using whole numbers, eg (0,1,0). Isn't Span(S) a subset of R^3?

This channel is so underrated! Thanks!

7:48 important: BS is a PBS, what divides in state Vx with cos2theta, and state Hy with sin2theta. The second PBS "recombines" the original state

Very good

Thanks for the clear and great proof on Minkowski's convex body theorem. It really helped alot

Hi! I think you mean "How many functions F(0) = F(1) are there?"

Thank you for ur awesome video. I only wish u added an example of asymmetric lwe in the end. Im a bit lost.

I'm still trying to wrap my head around this material, but this was a nice clean lecture. Thank you for making and sharing it!

I haven't come across Maple in a while; it's cool to see it again!

How'd you start with x0 = y0 = 2 and get x1 = 8 and y1 = 68? Anyway, this was a cool video 👍

this helps a lot, thank you!

Great thank

The audio is pretty quiet on this one.

Excelent video. Thanks for that. Pleasr keep up the good work. 🎉

Thanks for u video, but why did I get an A' in the form of some fractions?

how is x1 = 8 and y1 = 68 shouldnt it be x1 = 5 and y1 = 26 ?

Thanks again for making these easy to digest videos

"Promo SM"

I could barely hear you as well but the video is good otherwise...

The example of LWE is marvelous however. Bit heavy on the rounded Gaussian maybe (which didn't feel like it was important enough to take up 1/3 of the entire lecture), but overall easy to grasp. Thanks for publishing this to youtube as well.

This has to be the most confusing explanation of Gaussian elemination I've ever seen. For example in slide 4:28 what are the indices here? In step 1 they are (column, row), but in step 3 they're suddenly rows? This is one of the extremely few instances were Wikipedia is actually way more understandable than some introductory video. At around 6:13 you reduce row 1 by subtracting row's 2 coefficients from it twice, but how does that result in -2 when the residue class is already at 0 at that point?

The video is too silent, (much) louder would be better

promo sm

Thank you but why does x2 also contribute to the second qubit?

calculation mistake when calculating c'=c.P^{-1}=(1,0,0,1,1) it should be (1,1,0,1,1) so we can get back the correct message (1,1)

Great Video! Thank you! The only thing I'm not sure about is: what exactly is the difference between Ring LWE and Module LWE? If you could explain, i'd be very grateful! Thanks again!

Great lecture, very clear you deserve more views! keep it up

cool

Sir, what is the exact construction of space VxW,what is the dimension of that space?

Perfect my friend

greater than or greater than or equal to??? it's throwing me off, I'm following the notation...not the explanation

yes encrypted message and decrypted message itself is different? WTF?

Great video and explanation. You should post more.

9:30 Encrypt m = (1,1) and the result is (0,1)???

Which indian Writer can i read For this topic ?

thank you ! please make more

Best video on this topic. Thank you!