# How did the NSA hack our emails?

Professor Edward Frenkel discusses the mathematics behind the NSA Surveillance controversy – see links in full description.

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More from this interview: http://youtu.be/1O69uBL22nY

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The NIST document: http://bit.ly/NIST_numberphile

More encryption from Numberphile

RSA: http://youtu.be/M7kEpw1tn50

Enigma: http://youtu.be/G2_Q9FoD-oQ

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Easy way to hack emails is by communicating in drafts basically the username and password give to receiver so the email is not officially sent so it's anonymous

what do you exactly mean by a relation between the two solutions ? do you mean like one is equal to some mathematical operations being done on the other ? and we need to find these operation to get the relation ?

Professor Edward Frenkel was never heard again

well… in most parts of the world they do write 14.00 but say 2, kinda confusing

make video with Grigori Perelman….make him talk…….

Who woulda thunk? If you wanna know how the NSA did it, ask a Russian…

Help I think I might have dyscalculia, I can't understand it

by FAR mostest favoritest guest on NumeroPhilia channel, go to see him more.

you had me at "zillions of zillions of zillions" 🙂

why encrypt your Credit Card number when everyone can read it on the Card????

NEVER USE HUSHMAIL! They were hacked by the US Government! They do

nothing to help you recover you password, even if you have a paid

account. This is the nastiest email service ever. Its so secure, you

can't even get in to it! NO HUSHMAIL EVER!

They don't read your e-mail. Do you know how many messages they would have to read every day? No, they just store your messages, and maybe search interesing keywords and are ready to use it against you any time, for instance when you run for the US President.

In the USA youtube watches you

public key and private key encryption in messaging sending.

It should have been obvious the government was gaming the whole thing. What does it say that it took a whistle-blower to expose this? I think it says we're too complacent – too lazy, too trusting or both. How could NIST have any credibility whatsoever after this? Only a complete fool would trust an encryption system that the government has had any hand in "helping" to develop.

It's modulo, not modular.

Jean-Claude VanDamme CROSS Max Tegmark = Edward Frenkel

NSA is designer of SHA algorithms, it's all you need to know.

Of course Russian Jaime Lannister would know all about hacking one's enemies…

So that was just a complicated version of "They give them their private keys to decypher everything."

Vault 7 brought me back here

They didn't crack shite all our stuff was being transmitted in the clear.

Thanks Obama

Can you use your own P & Q, cutting out the NSA entirely? Or wouldn't that be illegal, if only for commercial use.

Backdoors, lots and lots of backdoors. And corporations kowtowing to "national security concerns". If only we had a perfect, 100% backdoor free encryption system. No legal access. Perfect privacy. A recipe for perfect paranoia?

More videos with edward please! 🙂

I find it difficult to understand that something can be completely random.I mean there must be a certain mechanism in order to generate randomness.If I am wrong pls somenone enlighten me.

just dont send text email, you use your EXE program that scrambles your text email and descrambles your email.

They didn't reverse engineered 'niothing'. They stoled P and Q or worst, the NIST gave them to the NSA.

我听不懂，我数学水平太低

What to think of the effectiveness of email encryption solutions like GNU Privacy Guard facing an issue like email communications mass surveillance by NSA ?

Are they just reassuring for the IT security neophytes ?

(question addressed to the people knowledgeable on the subject)

So the solution seems pretty straightforward, use your own P and Q!

Do I get this right? Somebody gives you to random numbers…and you don't wonder if this magician might by lying and pretend it is magic :P. If that is the case…we deserved to be hacked :P. Or whatever the term for legally sanctioned hacking is :P.

On the whiteboard, he was doing some calculations in string theory. Probably W-algebra.

In the beginning of the video, they state that 9+5=2(mod12). but that's not necessarily true. 9+5 (14) is in the same congruence class as 2(mod12) meaning it's a member of the set {…,-22,-10,2,14,26,…} so the sign should look like an equals sign with an extra line on top, because 14!=2(mod12) but it is congruent to 2(mod12).

Run up on me NSA I will catch a body you feel dawg?

Thanks, Snowden.

Truth is, the higher prime number you find, the more secure you are. That's why many people think that Riemann's hypothesis is maybe already solved and that…………""we"" know all the prime numbers already (Riemann's hypothesis is linked to prime numbers), it's not just in public domain because it's a critical thing for encryption.

I never understood none

that "monkey wrench" was a caliper..

they didnt häc mine…

they brüt förced id -.-

"There are less solutions ?"

"Yes, there are fewer solutions."

GOLD

;tl;dr they didnt

help pac-nsa ate my entropy

u r an USSR agent who speaks english… u don't fool us

The China one though..

I like the fact that the Titan supercomputer that was ranked number one in the world (until the chinese one took over) only cost $100 million. Anyone who thinks the NSA hasn't spent at least $10 billion on something a hundred times more powerful is delusional.

As soon as he began talking about Elliptic Curves, and seeing as the title mentions NSA, no doubt: this is going to be about Dual_EC_DRBG.

中X人民共和国国家安全部