That's some serious powerpoint at the paper drawing scenes.

Nothing like a new Mike Computerphile video :D

FPS comments, for people like me who can't read quite that quickly (I think this is all of them): oops, 2.5 fps - sorry! strong cct vibes frame-rate mismatches are painful huh maybe you're wondering how this happened? because 2.5fps is rather an unusual framerate this camera was used for a different piece of work sean (the fool) forgot to check the settings normally this camera (a canon xa50) stays in the bag for computerphile shoots but, having used it to timelapse something it was set to 4k 25fps but on a 10x settings maybe an ai frame interpolator can help... or make mike look like 'the flash' better, or worse? i kinda like it...

2.5fps with that smooth transition is absolutely trippy and satisfactory. Especially when writting, the text just pops up into existence randomly, amazing

7:03 due to the accidental low framerate, it looks like Mike writes "mod" by drawing a straight line

The idea of pre-computing a large part of the decryption for each prime number is similar to how GSM and later mobile phone encryption systems were broken - we called the pre-computed data ‘Rainbow Tables’

The man in the middle managed to corrupt the paper and pen scenes 😂

13:37 Mike... Stop. Promising. Videos. you are a computerphile hydra at this point 😂

Fry: Not sure if B-roll footage is 2.5fps, or… …my heart is just THAT excited to see another Dr. Poundtown cryptography/attack video on Computerphile.

If you're wondering how pi was used to get a prime, there should be rounding down (floor) brackets in there. From RFC 2409: "The prime is 2^1024 - 2^960 - 1 + 2^64 * { [2^894 pi] + 129093 }. Its hexadecimal value is FFFFFFFF FFFFFFFF C90FDAA2 2168C234 C4C6628B 80DC1CD1 29024E08 8A67CC74 020BBEA6 3B139B22 514A0879 8E3404DD EF9519B3 CD3A431B 302B0A6D F25F1437 4FE1356D 6D51C245 E485B576 625E7EC6 F44C42E9 A637ED6B 0BFF5CB6 F406B7ED EE386BFB 5A899FA5 AE9F2411 7C4B1FE6 49286651 ECE65381 FFFFFFFF FFFFFFFF"

"And it has a generator of 2" Such an unremarkable number for such a remarkable prime

3:26 You wasted a golden opportunity for "It's an older code, sir, but it checks out."

4:03 "the p looks a bit small" heard that one before

Well now we need a video on how number field sieve works!

I remember being tasked at the time with building a group policy for our windows servers to remove compromised cipher suites as available options. Its cool to finally understand what was really going on with that, since at the time all I understood was there was a downgrade attack that was possible.

Outstanding vid, it's great that people can get such an approachable insight into not only what goes on behind the scenes of something they do every day, but the to and fro of the conflict that is being carried out to break (and keep safe) their communications.

I could listen to Mike all day 🎉🎉

Love Computerphile videos. Keep up the good work.

Mike's explanations are just the best everytime

Geez that slow FPS made me replay those sections. Thanks for the comments, I was ready to diagnose my network.

14:48 well that looked pretty magical! I wish I could write at 2 fps 😊

Computerphile is amazing! I'm so grateful for new vids 😍

The Canon subplot was fun

This is absolute gold. Many thanks Dr. Mike😊

You know it's a good day when Mike uploads a video

Absolutely loved this, great to hear you speak about this subject

I Remember this my university’s research team worked on this attack!

Spot on and thoroughly entertaining - Thanks for putting this together!

Love the step that's just called "Linear Algebra"

appreciate the unexpected bonus content about FPS issues :)

These guys are freaking awesome!

Thanks for the very clear presentation.

Love this video and how it's explained even with the technical issues it was still really interesting and engaging

Mike, the hero of explaination.

Fascinating! Thank you for this good story, nicely explained as always 👍

The 2.5 fps writing is weirdly cool. It’s like Mike is a speedster who has to slow down so we can see his work

Would love to see some videos around optimization, specifically LP/ MILP solvers, branch and bound, feasibility pump, etc.

I see the poundmiester, im watching it

Very interesting and meaningful video. Good to know the Internet moved away from this potentially insecure versions. Thank you!

NSA: Sorry Timmy. It's more important that we use that money to read your parent's emails rather than give you food and healthcare.

These always baffle me at least a bit, but I enjoy watching them all.

Mike’s taught me more than all my professors combined

There is nothing more devious than the malicious purple pen.

Log Jammin is a highly underrated film by Jackie Treehorn

Finally Dr Mike Pound! Love the guy :)

Does this fall under the category of the law of unintended consequences, regarding the original decision to limit exporting of powerful encryption?

This video have amaizing "dreamy" vibe in it.

Is there a video on how these videos are edited and made? This is a really clear way to convey a topic..

A safe prime in RFC is "probably" broken.. and now elliptic curve is used, but, as far as I remember some defaults for elliptic curve are part of RFC and it was mentioned in an older Numberphile video that elliptic curve might be broken too..

I love this guy!

Imagine how pucker-inducing dropping a paper like this is for security professionals. 😄

I love this channel. Fascinating stuff.

Mike delivered as always.

With the 2.5fps storyline going on, this was like 2 videos in one!

I'm really curious, what is the font used in the videos of Computerphiles? I think it really defines the style and I really like it :)

Seriously... why is there a Pi in the prime for Oakley Group 2? I think even 2Blue1Brown would have sleepless nights tracking down the hidden circle in that little nugget.

The 🐐 Dr. Mike Pound

Hi Dr. Pound! Hi Sean!

So what you're saying is that Uplink was actually quite accurate!

Lol I love the little text explanations in the corner of the video about the atrocious 2.5 FPS issue 😂 make sure to give Sean two and a half smacks, one for each frame per second lmao

whats the difference between preprepared sequences and rainbow tables?

You simply configure the server to not permit weak schemes. open vpn server actually allows to define a dhparam file. I use a 4096 bit one, it contains p and g, were p is the 4096 bit public prime and g is the generator. Just generating the prime took a few dozen minutes.

Never thought Computerphile would be talking about Logjammin' :D

Weird that the RFC specifies the base in a 1-digit number. Not necessary as far as I'm aware.

@4:04 "They just noticed the P looks a bit small. Eh" - story of my life

2:22 If it hasnt been done already, I think a video about the Crypto Wars would be a really interesting topic to have on computerphile.

Brilliant 😊

Amazing

I wonder if there's been any studies on how many years it would take to break 2000 bit primes compared to processing power capabilities over the next 30 years.

good thing 99% of people can't see over 2.5 fps

I have a question. Back in 2015 when they used the 1024 bit security, couldnt they just use the 2000 one? Why go fir the lower?

4:03 I like this phrase taken out of the context😂

What would it take to break the 2048 bit DHE in 90 seconds?

Computerphile is ahead of the elliptic curve

4:03 "they only noticed that the **p** is a bit small" Logjam vulnerable DH handshakes evidently have a lot in common with my high school girlfriends

These things make me wonder if there are already similar attacks done and most importantly the threat of storing data to decrypt later.

5:16 hurt my brain with that artifact.

Sounds like bit encryptions should be upgraded to say 16k bit encryptions for the foreseeable future and then later 128k bit encryptions, sure it sounds a bit ridiculous but on the other hand by the time the encryptions are broken the information would likely be no longer valuable.

You missed the opportunity to make "Log jammin'" jokes

Not the malicious purple pen!

13:21 "The prime is ... 2^894 times by pi" How is the number prime, when one of its components is pi?

Please make a video about lattice-based cryptography...

So if we assume nation starts are collecting data right now using 2000bit keys for encryption, given current processing power gains, when would a nation state sized bad actor be able to break these? Can you build dedicated asics to do this even faster than using general purpose hardware?

Neat. And terrifying

I wonder how Bot Nets compare to the clusters mentioned here. Can someone use them as efficient?

I mean, as a client, i always notice the small P

Did you recreate the over the shoulder shot through perspective projection?!

Guys, CCTV POV is an artistic choice.

Man I feel nostalgic now 🙂

with a name like logjam i thought you was talking about either a variant of log4j or overwhelming the server logs making it confusing to a security admin.

Ah young Diffy Hellman lad, always getting into a spot of bother. His parents were quite mad!

Can you talk about how elliptic curve df could be vulnerable? I don't trust the nsa choosinf a curve and all that

So when on Sept 10, 2001 they said they lost 2.3 Trillion dollars, i wonder how many heavy decryption machines were made?

I also knew Mike was a super hero. Never knew he was The Flash!

Linux Tech Tips recently got hacked via a session token attack, and I’m wondering why that is still possible, and if there are any ways to address it? I’m thinking maybe something involving the TPM so once a key is generated it’s never readable.

Please make a video on ring signatures and RingCT.

10:45 blew my mind... it's the same number every time?!

Sweet

I wonder what would be the memory requirement for the results of the 3 stages of the 1024 prime...

The frame rate is slow but the image is very sharp, I think is better than the usual