The history behind public key cryptography & the Diffie-Hellman key exchange algorithm. We also have a video on RSA here: • Public Key Cryptograph...
Пікірлер: 626
@dancarlson30458 жыл бұрын
The color analogy is amazing. Great work simplifying a difficult and important concept.
@human.earthling7 жыл бұрын
Yes! This is the first time I have understood this concept due to the color analogy.
@1986xuan6 жыл бұрын
Analogies are so powerful
@jacquelinecahill48366 жыл бұрын
I really enjoyed this. Thanks for breaking it down.
@Percavius4 жыл бұрын
It's good in that it's simple, however unlike the discreet logarithm problem, you would be able to make a good estimate of the secret colour based on the starting colour and one of the mixed colours. For example if Eve received the starting colour yellow, and a mixed colour green, she can infer that the secret colour mixed in must be some shade of blue, which makes her search much easier. Recognizing this threw me off a bit at first.
@jsonkody4 жыл бұрын
The concept is simple and genius.
@ChristopherCricketWallace8 жыл бұрын
by far the best explanation of public key encryption EVER.
@ArtOfTheProblem3 жыл бұрын
thanks for watching! stick around
@lennonmclean3 жыл бұрын
unfortunately, public key is completely different than key exchange. public key requires different keys to encrypt and decrypt, so there's no need for diffie hellman to agree on a secret key.
@ArtOfTheProblem5 ай бұрын
made another vid: kzbin.info/www/bejne/hXe2amNje71ppsk
@wilkmasterflex11 жыл бұрын
A great illustration. Diffie-Hellman has a well-known, fun vulnerability. Spoilers: Eve, knowledgeable herself on color theory, intercepts messages between Alice and Bob not letting their messages go directly to them. Instead she creates a color of her own. Mixing it twice with each of Alice and Bob's colors she creates two keys. She can now read Bob's message, re-encrypt, and send to Alice and pose as Bob. Same goes in the other direction. If only Alice could trust Bob's color comes from him.
@Germanywithtripti1013 жыл бұрын
an underestimatted comment
@Arkalius803 жыл бұрын
This is why you typically use a digital signing algorithm like DSA to authenticate the messages from each party.
@lennonmclean3 жыл бұрын
if only (epic RSA foreshadowing)
@alittax2 жыл бұрын
This is called the man-in-the-middle attack.
@AnimMouse2 жыл бұрын
Key signing parties!
@satnamo7 жыл бұрын
Martin Hellman said: The system...has since become known as Diffie-Hellman key exchange. While that system was first described in a paper by Diffie and me, it is a public key distribution system, a concept developed by Merkle, and hence should be called 'Diffie-Hellman-Merkle key exchange' if names are to be associated with it. I hope this small pulpit might help in that endeavor to recognize Merkle's equal contribution to the invention of public key cryptography.
@albertoradice77138 жыл бұрын
This is precisely how mathematical concepts should always be explained. You guys nailed it!
@ArtOfTheProblem5 ай бұрын
would love your feedback again kzbin.info/www/bejne/hXe2amNje71ppsk
@AjayPoriya7 жыл бұрын
I nominate this video for OSCAR !!
@barbell137 жыл бұрын
Yeah Oscar would definitely like this video
@alice_in_wonderland425 жыл бұрын
Computerphille uses the same technique.
@199NickYT10 жыл бұрын
"While Eve is stuck grinding away at the Discrete Logarithm Problem" Hahaha that's definitely the best part right there.
@Nefariouspat6 жыл бұрын
I've watched a few videos on public key cryptography, but never really understood how it worked until I heard this colour analogy. Absolutely phenomenal video!
@SomeOne-tb2sd3 жыл бұрын
One the best and simplistic explanation of what appears to be a complex algorithmic process. Thank you.
@xetronchan10596 жыл бұрын
Most amazing and simple and clean explanation of Diffie-Hellman algorithm I've came across. Great!!!
@dm81443 жыл бұрын
I am typing typing this message in 29/10/2020 and this is one of the best and easiest explanation about public and private key system ever. well done.
@ArtOfTheProblem3 жыл бұрын
great to know people still find this
@appapurapu8 жыл бұрын
Brilliant trick behind Diffie Hellman explanation is very clear. Thanks a Lot.
@SanjayShelat5 жыл бұрын
This is an excellent explanation of what is usually a difficult issue to understand. Thank you!
@wreilly092 жыл бұрын
THIS DID IT!! You helped me understand a few points that, in my opinion, we’re not pearly presented in other videos. Thank you very much.
@ninumedia8 жыл бұрын
Thank you for taking the time to record and produce this video! Beautiful explanation.
@mash00008 жыл бұрын
Use of mixing colors as an analogy to explain the DH concept was brilliant. I know DH concept well, but never thought of the color analogy. Good job!
@davidcalderon60627 жыл бұрын
this is the best explanation I've seen on anything.
@mmuarc3 жыл бұрын
Best explanation you can find on the internet about this. The color analogy is Godlike
@skidude98005 жыл бұрын
Single best explanation on any cryptography concept I've seen.
@KautilyaSave8 жыл бұрын
Great video explanation. I loved the demonstration of colors & Mod Calculus Clock rope.
@AkashVermaNITian9 жыл бұрын
Colors made it wonderful to comprehend... really impressing!
@ANTHONYBOOTH9 жыл бұрын
Akash Verma now. I think that I understand how my Gizmo (for online banking) from HSBC works........
@Appoxo3 жыл бұрын
I actually needed the numbers to kinda grasp the concept...
@supernanotech13 жыл бұрын
Time hardened Encryption just like safe hardening how much time is needed to open it. I love this, this is the best way to explain encryption ever. I love how they have IBM sage running for this video also. Amazing
@jasoncorrigan99375 жыл бұрын
My background in advanced math concepts is somewhat limited, and so it's always been difficult for me to intuitively grasp how DH worked. After years of struggling, this is the one video that really drove the point home for me. Thank you!
@oliverbeck68394 жыл бұрын
dafuq YEARS? i grasped it in about 15 minutes lol
@roxiogamer7 жыл бұрын
Oml dude this is exactly what I have been looking for! A visual explanation on how it works ! 10/10
@marelloeg69884 жыл бұрын
Videos like this are always remind me why I am fascinated about the cybersecurity field! This is a fantastic video!
@orionjonesy2268 жыл бұрын
Thank you for making this video, great explanation and brief history of the concept! Keep on, keeping on!
@jacquesvanderwesthuizen72879 жыл бұрын
Very well explained. I would recommend this video to anyone studying the arts of encryption/decryption.
@duallancers0018 жыл бұрын
This was dramatically more helpful than the meager amount of info my book offered on the subject; thank you.
@Malmizaur8 жыл бұрын
wow finaly the video i was looking for with the best explanation and number proving examples thank you very much I also checked your chanel realy awesome
@ArtOfTheProblem8 жыл бұрын
+Malmizaur Episode 3 is up next: kzbin.info/www/bejne/aqKxaoKsq6qDqJo
@dangerlibya20107 жыл бұрын
you are a magician !
@rschintalapati8 жыл бұрын
Amazing explanation! The best video about DH Algorithm. Thank you, it really helped me a lot.
@georgiepentch4 жыл бұрын
Oh my god, your content would fit SO WELL into a podcast format! It's something we need!
@ArtOfTheProblem4 жыл бұрын
Funny you say that, i'm working on developing a podcast right now. I was town between just using the audio from these or doing a new conversational approach. can you listen to the demo I posted last week and give feedback? kzbin.info/www/bejne/Z6iXipKpeKmYeac
@georgiepentch4 жыл бұрын
@@ArtOfTheProblem wow sorry, I don't know why I just got this notification now, but I did listen to the demo and I loved it! Keep it up :)
@kanaverum7 жыл бұрын
Perhaps the best explanation of private key exchange on the internet. Thanks very much for this video!
@MohamedAnsari_H7 жыл бұрын
fantastic video, explained something I've wondered for a long time, Thank you.
@KILO9937 жыл бұрын
I found your video while studying for a technical certification. Very well done. Thank you :D
@blackmouthblackface8 жыл бұрын
Much better than the short version which confused the hell outta me @4:35! Thank you very much for posting this!
@aymanjabali4 жыл бұрын
Thank you sooo much for putting time and work into this video. you've helped a lot of people around the world
@KevinElamMusic4 жыл бұрын
Excellent video! My only complaint is the explanation of "how Alice did the same calculation as Bob" from 7:27 to about 7:40. Starting at 7:27, we see that "12 = 3^13mod17". Then conveniently, right at 7:34, when that figure is substituted into Alice's original expression, the "mod 17" DISAPPEARS and the 12 is simply replaced by "3^13". Although this IS mathematically correct, it REQUIRES a rather advanced principle of modular arithmetic: namely, that [(a*mod c)^ b]*mod c = (a^b)mod c. (In the example from the video, a = 3^13, b is 15, and c is 17). So, you effectively CAN simply remove the extra "mod c" term, but the video glosses over this difficult but crucial step. My sister and I just spent 2 hours figuring out the proof for this principle. If anyone's interested I can share a photo of the completed proof. (It can be found online also).
@dhanushshetty78402 жыл бұрын
Even I was stuck here
@ukee3111 ай бұрын
Yo yall are smart AF
@laurv83706 жыл бұрын
Very nice! Hat off! One of the best explanations I have seen, and nice put into the story. however, when you swap those powers, you should use parenthesis, that is because generally, powering is not commutative. That is, a^b^c is not equal to a^c^b, modular or non modular powering. Powering is right-associative. But (a^b)^c=a^b*a^b*...a^b (c times) which is a^(b*c)=a^(c*b)=a*a*a*a.... (b*c times), which is (a^c)^b always, modular or not. This is due to the commutativity of the _multiplication_ operation. Not the powers.
@thomaspribitzer53735 жыл бұрын
that colour analogy was mind blowing. made my day!
@mfratto7 жыл бұрын
That's called magic math. Great video. Very helpful. Now to watch the series.
@IAmSinister57 жыл бұрын
This is such a good explanation, it makes so much sense logically to me now.
@scienceblossom61975 жыл бұрын
Can't thank you enough. Awesome video. I wish you also explained how the digital signature works in order to avoid Eve pretending to be either Bob or Alice.
@akshaymahale65218 жыл бұрын
It was just awesome, u played wid the colors and dat made the algo go so simple to understand !!!
@princyep84096 жыл бұрын
The articulation is excellent! Great read
@danyellbaptiste10555 жыл бұрын
EXCELLENT EXPLANATION. Thank You!
@ashutoshnautiyal96254 жыл бұрын
this kind of learning material is actually i m looking for. Great explanation .
@johnmacward9 жыл бұрын
Brilliant explanation about key exchange for those of you interested in how your data is encrypted over the web. Ok, when the maths comes you need to pay attention but all in all the best explanation I've found.
@godfreytan10017 жыл бұрын
Deep concept but simply explained. Excellent!
@notmychairnotmyproblem3 жыл бұрын
THIS IS THE EASIEST EXPLANATION OF MODULAR MATH I'VE EVER SEEN Why didn't I have this channel 10 years ago when I was in college??!!
@tasoskontos105 жыл бұрын
Great video! It helped me an insane amount understanding the public key cryptography consept.
@CarlitoProductions4 жыл бұрын
if this was 2 hours, i'd still watch it. awesome explanation
@LGM47 жыл бұрын
LOL I've been explaining this idea using colors for about 6 months, then I find your video! love it!
@SomdeepSengupta9 жыл бұрын
LOL ... I came for Diffe Hellman lesson. Got a lesson in Cold war politik.
@fubonte22727 жыл бұрын
why can't i like this video more than once? thank you for an excellent explanation
@atom2ueki10 жыл бұрын
definitely an awesome video show you how to understand Diffie-hellman key exchange
@IgorAherne7 жыл бұрын
This helped me understand it: Imagine Bob and Allice want to teleport to some secret planet without Eve joining them. 1) *Neither Alice nor Bob have a planet in mind where they would like to meet*. They want to use their own piece of puzzle to mutually arrive at the same planet. Depending on which private keys they've chosen initially the final planet will be in the very different locations of universe. 2) They publicly pick which galaxy they want to be in 3) They can pick any number they want, scramble it with the publicly known galaxy's name, and send it over to each other. 4) now each one has the scrambled piece of another person. Both pieces were scrambled with the same galaxy. 5) scrambling Allice's piece with the scrambled code received from Bob will teleport her to planet XYZ. 6) Bob will do the same thing with the scrambled code received earlier from Alice, which will teleport him to planet XYZ because Eve didn't mix-in any of her information into the exchanged (scrambled) messages and was only listening to their conversation, she is unable to align herself with the planet XYZ where those two went. Even if Eve would substitute her message instead of Bob', this would only result Alice and Eve arriving to FZK, without Bob. Alice would see that it's not Bob and no information would be disclosed.
@Yashuu967 жыл бұрын
This video is so awesome! Had been looking for the answer to this problem.
@ROCDUC11 жыл бұрын
Your videos are great. They have interesting visuals as well as an easy voice to listen to.
@Konraden11 жыл бұрын
I'm reading wiki trying to understand how public-key encryption works (I'm told its better than symmetrical encryption). I remember someone tried to explain this before using colors, so a quick search--and I find your video. This is a great video.
@earavichandran4 жыл бұрын
Now i understand clearly about diffe Hellman method. Lovely and lively demo video. Thanks for making this wonderful video.
@ArtOfTheProblem4 жыл бұрын
thanks please share and stick around for more content.
@earavichandran4 жыл бұрын
@@ArtOfTheProblem yes.thanks for your valuable reply.
@HariKrishnaReddy76967 жыл бұрын
such a beautiful explanation
@mustafarangwala56577 жыл бұрын
Very nice i was thought about the color logic in my college but i wondered how it would work in numbers.Excellent video.
@chetanrane7246 жыл бұрын
fantastic explanation. loved it
@MahmoudHammad110 жыл бұрын
amazing description . Thank you
@asdunn27 жыл бұрын
I learned more from this video than 5 weeks worth of lecturing in my university class.
@richardgreenstone10958 жыл бұрын
Outstanding explanation.
@Kevi_N.8 жыл бұрын
The trick in a nutshell: ( G^*a* mod P )^*b* mod P = G^*a*^*b* mod P = ( G^*b* mod P)^*a* mod P = *key* *a* and *b* - private numbers *key* - private key (same for both) G - public generator P - public prime module ( G^*a* mod P ) = *A* ( G^*b* mod P) = *B* *A* and *B* - public numbers both sites do: *A*^*b* mod P = *B*^*a* mod P = *key*
@yc42956 жыл бұрын
I try to calculate in Javascript but found it not the same, is there any wrong? According to the fomula "( G^a mod P )^b mod P = G^a^b mod P", Assume G = 3, a = 13, P = 17, b = 15 Math.pow(Math.pow(3, 13) % 17, 15) % 17 = 10 Math.pow(Math.pow(3, 13), 15) % 17 = 2 Math.pow(Math.pow(3, 15) % 17, 13) % 17 = 10 But 10 is not equal to 2
@romanmandeleil6 жыл бұрын
Not clear how A^b = B^a
@uid266 жыл бұрын
Paste this into console: Math.pow(Math.pow(3,15)%17, 13)%17 Result should be 10
@FyberOptic11 жыл бұрын
Great video, you described it in a perfect way to understand. Though I'm not sure if it was clear for everyone that this was merely for calculating a mutual key to use with a cipher, and not really for actually communicating information itself.
@greg45298 жыл бұрын
Amazing and excellent explanation. Better than my lecturer!
@davidr.flores20434 жыл бұрын
Fantastic. I've watched many videos on this same topic; nevertheless, this is The Best one. A million thanks for breaking down difficult concepts in an easy, understandable way. Kudos!
@ArtOfTheProblem4 жыл бұрын
appreciate the feedback. I always watch every video on a topic before making a new one, so i'm glad you noticed :)
@MalaAnsoo3 жыл бұрын
This is ingenious. Thanks for sharing your knowledge and creativity and helping people to understand so easily.
@ArtOfTheProblem3 жыл бұрын
appreciate the feedback and comment, stay tuned!
@jon_hodl6 ай бұрын
Still one of the absolute best videos for explaining asymmetric key pair encryption
@ArtOfTheProblem6 ай бұрын
she's an oldie !
@abeer_nawaf_sul8 жыл бұрын
very smart.. my teacher also explained it in a wonderful way so it stuck in our minds .. bless him
@houyao21475 жыл бұрын
Amazing!!!! This is the best explanation that i've ever seen.
@mortenbrodersen86646 жыл бұрын
Best explanation I have ever seen. Well done!
@sukhrobkurbonov83276 жыл бұрын
Just a amazing explanation
@crazy-blue6 ай бұрын
I really really like the music in this video. It mysterious. I like the fact that you take your time to explain and it is also visual. Nice creative video.
@ArtOfTheProblem5 ай бұрын
Took 2 years to finish this one, finally live would love your feedback: kzbin.info/www/bejne/hXe2amNje71ppsk
@schedarr2 жыл бұрын
Outstanding explanation
@nabeel25057511 жыл бұрын
This is really a great set of videos. Thanks and great work.