Math The World
Math The World
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How the "Unbreakable" Vigenere Cipher Was Broken
In this weeks video we dive deep into cryptography and explore the vigenere cipher. What it is, how it was created, and most importantly how it is broken. The mathematics surrounding this cipher is fascinating and at the end we show one way you make this easily broken cipher much stronger and actually unbreakable again!
Here is the code to break from the end of the video:
Ho nhdh fh tye dbplei? Iq hojty, tks twee-wlzi-X-uje-wvfh qlevhfdn zs xbcpii frf qwe kedqetr. Jhh rltse’t nbll wyeq mlj sgefwcxcrlom txlc uvs fi bvcdipt sye fok'i sve lbqd yfuu triuie. Wvb siwflqratp iq okhwvrlbd ihzs tibhtzoq zfts niwv xc idpowzxt rsvijetzoq vfsdvn esktakh wvb fuvswwlc. Tye vhrseet kop pn zdho lu tye nwkss ff vwqjakirbp ihrt vvb licl hbzduethf fc hvr owct, aed zvbc tye uspeoesh todm khh hbpcyeu rltse’t ddmay ko dbv df khhgb hikudhfdnj, tks jptyepoqxcj shsjh ujeosph. Blt lh fh fiaxrraeet wc xhslmh hept ne nbll ak a pcjtnk oi fbulvcwwlc tye nwkss ff vwqjakirbp xn nhlqe le dijvq jsv srabihznj. Ken? Bvcdipt wv drb’q znfw zvxi wv drb’q znfw.
Math The World is dedicated to bringing real world math problems into the classroom and answering the age old question “when will I ever use this?”
We use unique topics for algebra, trigonometry, calculus, and much more and go beyond context problems and use a technique called mathematical modeling to find solutions to real world questions and real world problems. These videos are great for students who plan to enter technical fields that require real world problem solving, and can be a great resource for teachers looking for ways to bring real world contexts into their classroom.
Instagram: maththeworld
Twitter/X: math_the_world
Facebook: maththeworldproject
Email: MathTheWorld@byu.edu
Created by Doug Corey
Script: Doug Corey and Jennifer Canizales
Audio: Doug Corey
Animation: Jennifer Canizales
Music: Coma Media
© 2023 BYU
Переглядів: 2 977

Відео

The Calculus Problem Mathematicians Didn't Solve (but Scientists & Engineers Did)
Переглядів 10 тис.День тому
Turns out there is not just one way to think about Derivatives but at least FIVE (for students in a first semester calculus course). And these different meanings each have different advantages in calculus. But one of them really takes the cake when it comes to real world problem solving with math. In this video we discuss these five conceptions, apply them to some pretty awesome real world cont...
Optimizing Cups to Get Every Ounce of Sauce Possible
Переглядів 14 тис.14 днів тому
We heard the people. More Sauce. More Math. More Optimizing. In this Math OverKill part 2 video we tackle more saucy questions to optimize the amount of sauce in a condiment cup all while diving into multivariable calculus and partial derivatives. We address misconceptions about optimizing in 2D and tackle questions like "what is the optimal angle if we can overfill the cup?" and "what if we co...
My Potato Gun Teaches You Differential Calculus
Переглядів 4,4 тис.21 день тому
In this video we explore differential calculus in the context of finding the muzzle velocity of a potato gun. You don't need a speed gun or a chronograph, just a little physics, algebra, and calculus to estimate the initial velocity of the potato! Math The World is dedicated to bringing real world math problems into the classroom and answering the age old question “when will I ever use this?” W...
Throwing Things Off the Empire State Building Using Math
Переглядів 3,1 тис.28 днів тому
You probably already know that a penny thrown from the empire state building WON'T kill you. It's terminal velocity just isn't great enough. But what if it was really dense? Or falling in a vacuum? Or dropped from a greater height? And if a penny won't kill you what objects COULD kill you if dropped from a skyscraper? We explore all of these questions and more using math and physics in this vid...
The Optimization Problem No One Cares About But My Son
Переглядів 347 тис.Місяць тому
Do you love sauce as much as my son? Then you will love this video. Here we tackle a calculus optimization problem to find the best angle to unfold those little paper condiment cups so you can maximize the amount of sauce it holds. We do this using some trig and algebra to begin with and also take a calculus approach with volumes of revolution and integration. Sauce Overkill Part 2: ua-cam.com/...
How I Used Calculus to Beat My Kids at Mario Kart
Переглядів 513 тис.Місяць тому
Sick of losing to your kids at Mario Kart? In this video we analyze calculus strategies for picking player and kart combinations to improve the odds of winning. Using the integration conception of "area under the curve" helps us understand which characteristics are best for winning. Math The World is dedicated to bringing real world math problems into the classroom and answering the age old que...
Three Math Driven Strategies to Optimize Tackling in Football
Переглядів 3,3 тис.Місяць тому
Here we tackle (pun intended) the mathematics behind timing the perfect tackle! Turns out with some algebra, trigonometry, and optimization we can know exactly what angle to run at in order to intercept a wide receiver, and coaches actually use some of these tactics when training their players! This is a re-upload of two previous videos put together into one video. Their seperate parts which co...
Math model proves that taking summer classes in college pays off BIG
Переглядів 2,3 тис.Місяць тому
It may sound counterintuitive but working during your college summer breaks could actually be costing you a fortune and our mathematical model proved it. In this week's video we use estimations simple algebra to build a model in spreadsheets to analyze just how much money college students are missing out on by taking summer breaks and graduating in 4 years versus taking classes through the summ...
Which Direction Should You Run to Avoid Being Hit By A Car?
Переглядів 196 тис.2 місяці тому
Hopefully you'll never find yourself playing chicken with a truck, but if you do what direction should you run to avoid being hit? In this video we explore this optimization question with math! We use 3 different levels of mathematics, Jr. High Algebra, Pre-Calculus Trigonometry, and Calculus to optimize the best way to avoid an oncoming vehicle and apply these findings to other similar situati...
Which Country Produces the Best Hurdlers in the World?
Переглядів 3,2 тис.2 місяці тому
Last week we used statistics to find a serious height bias in the men's hurdles! This week we'll use that data to discover which country is best at training hurdlers, despite all the odds stacked against them. The winner will surprise you! Unfair Sports: ua-cam.com/video/X1kihl6M0Gk/v-deo.html Height data website: www.gigacalculator.com/calculators/height-percentile-calculator.php Math The Worl...
Statistics Reveals Unfair Height Bias in One Olympic Event
Переглядів 258 тис.2 місяці тому
Here we dive into a statistical analysis of height for one major olympic event, the hurdles. Our data and analysis reveals a significant height bias seen in the men's 110 m hurdles that is not found in the equivalent women's event. Here we explore with math, why these differences exist and how they could be remedied. The data we used for our hurdler's heights came from the top 50 elite hurdlers...
According to Math, Don't Make THIS Mistake When Loading Your Trailer
Переглядів 2 тис.2 місяці тому
Here we use the Calculus concept of Arc Length to explore the best strategy for securing loads in trailers. Does it matter how you position an object when strapping it down for moving? According to the math, it does! It turns out small differences in strap length can send items flying down the freeway if you're not careful! Sagging Ropes and Arc Length: ua-cam.com/video/d3xrQoXjp8k/v-deo.html B...
Should You Go Wide During Fast Breaks? Math Will Tell!
Переглядів 3,9 тис.3 місяці тому
In this video we apply the arc length formula from calculus to answer the question of why players should run wide during fast breaks in basketball. We break down our problem solving approach step by step to show how the arc length formula can be used in real life. Arc Length Video: ua-cam.com/video/d3xrQoXjp8k/v-deo.html Math The World is dedicated to bringing real world math problems into the ...
Why Students Struggle With Arc Length and How to Help
Переглядів 106 тис.3 місяці тому
This video dives deep into the topic of finding Arc Length using Integration techniques from Calculus. It answers the question “Why do students struggle to understand the Arc Length Formula?” and goes through a simple break down of how the Arc Length Formula can be derived and then applies this formula to several problems. Math The World is dedicated to bringing real world math problems into th...
How to Invest Better Than A Billionaire
Переглядів 1,8 тис.3 місяці тому
How to Invest Better Than A Billionaire
Should you turn your car off at Red Lights? | Related Rates
Переглядів 1,7 тис.3 місяці тому
Should you turn your car off at Red Lights? | Related Rates
What is Integration? 3 Ways to Interpret Integrals
Переглядів 342 тис.4 місяці тому
What is Integration? 3 Ways to Interpret Integrals
How Much Force From A Watermelon Hitting You in the Face?
Переглядів 2,5 тис.4 місяці тому
How Much Force From A Watermelon Hitting You in the Face?
Sequences, Series, and Zeno's Paradox: Achilles and the Tortoise
Переглядів 1,1 тис.4 місяці тому
Sequences, Series, and Zeno's Paradox: Achilles and the Tortoise
When Will I Ever Use Math?? How To ACTUALLY Answer This Question | Part 2
Переглядів 6 тис.4 місяці тому
When Will I Ever Use Math?? How To ACTUALLY Answer This Question | Part 2
What Objects COULD Kill You If Thrown Off The Empire State Building | Part 3
Переглядів 6665 місяців тому
What Objects COULD Kill You If Thrown Off The Empire State Building | Part 3
Are you Smarter than a British Agent? The Playfair Cipher
Переглядів 7555 місяців тому
Are you Smarter than a British Agent? The Playfair Cipher
How Many Aliens Are Needed to Power a Spaceship?
Переглядів 14 тис.5 місяців тому
How Many Aliens Are Needed to Power a Spaceship?
A math problem you've never seen before! Can you solve it?
Переглядів 2,7 тис.5 місяців тому
A math problem you've never seen before! Can you solve it?
When Will I Ever Use Math? How to Actually Answer This Question | Part 1
Переглядів 59 тис.5 місяців тому
When Will I Ever Use Math? How to Actually Answer This Question | Part 1
How the Math for Stadium Lights Can Solve Oppenheimer's Dilemma
Переглядів 6 тис.6 місяців тому
How the Math for Stadium Lights Can Solve Oppenheimer's Dilemma
What is the perfect amount of water for the perfect bottle flip? | optimizing with math
Переглядів 1,2 тис.6 місяців тому
What is the perfect amount of water for the perfect bottle flip? | optimizing with math
This is how a penny COULD kill you if thrown from a skyscraper | part 2
Переглядів 1,3 тис.6 місяців тому
This is how a penny COULD kill you if thrown from a skyscraper | part 2
Are these the BEST 3D printed loaded dice? | We use math to optimize their design!
Переглядів 1,8 тис.7 місяців тому
Are these the BEST 3D printed loaded dice? | We use math to optimize their design!

КОМЕНТАРІ

  • @werdna1969
    @werdna1969 5 годин тому

    "I will make you study calculus if you don't let me win!" is how I imagined this would go

  • @axiezimmah
    @axiezimmah 7 годин тому

    I dont really understand how you're supposed to spot the "coincidences" if you can only see the encoded text. Although on the 3rd line I do notice "Ebi" and 9 letters later again "Ebi". Both of them just happen to be the word "the".

  • @AyyashAhmad
    @AyyashAhmad 12 годин тому

    am trying to get hit by a car for insurance fraud. how do i maximise my chance

  • @alirazi9198
    @alirazi9198 17 годин тому

    Acerage American video

  • @Adamz0ne
    @Adamz0ne День тому

    “But why stahhhp heeere”

  • @iso_2013
    @iso_2013 День тому

    Please get a pop filter 😅

  • @jermunitz3020
    @jermunitz3020 День тому

    Little Timmy you’re going to use maths to make mad money and get all the sexy ladies.

  • @michaelross6248
    @michaelross6248 День тому

    The histogram at 3:50 is very clearly not normally distributed, so it's a bizarre decision to then compare normal distributions later on at 4:45.

  • @scottowens398
    @scottowens398 День тому

    I've been tricked! I learned math!

  • @billywhizz09
    @billywhizz09 День тому

    Could you not remove that text on the bottom right when you were drawing?

  • @theskullchild1975
    @theskullchild1975 2 дні тому

    Dolphinmotorcycleyoshi Go

  • @JacobDunn-dj3kj
    @JacobDunn-dj3kj 2 дні тому

    Why couldnt you just use cross-sectional area to compare volumes, because it is a circle and you don't need the volume, you just need the angle.

  • @reillysmith2934
    @reillysmith2934 2 дні тому

    I was a sprinter at the beginning of highschool in WA State. After the first month, the sprint coach told me to go to hurdles with the reason being "Just trust me." I went on to the state championships in both hurdles events my senior year, standing at 6'3" on the podium.

  • @NoorVIG2
    @NoorVIG2 2 дні тому

    In Mario kart 8 deluxe the mini turbo boost is greater with a high acceleration stat, so if you’re a good driver you will pass people even if their top speed is technically higher than yours. Interesting video though 😎👍

  • @fouziasalahuddinahmed344
    @fouziasalahuddinahmed344 2 дні тому

    As a life long tennis player this remidms me of something lots of hating comments have towards the difference between men and womena matches, namely that you can never predict who'll win with the women cause "the women can't serve" (thats a ridiculous statement and everyone knows this). The difference between the men and women is that when the pressure is intense and you body is exhausted its far easier for a 6'2" man to get the ball precisely and powerfully over the net than a 5'9" woman. Im not calling for the height of the net to be lowered for women or anything considering that mixed doubles matches have both men and women playing at an insane level together

  • @frozmo369
    @frozmo369 2 дні тому

    I know it's not the point of the video but acceleration is actually not that important at all. The most important stats that you should be looking for are speed and even more so the hidden stat of mini turbos that increases the effects of your turbos after sliding. But high acceleration is also on the combos that have high mini turbos, which is why high acceleration combos are still good even though the actual stat is not important.

  • @Desterothx
    @Desterothx 2 дні тому

    I think the optimum is dependent on the condiment, most mayos you can tower quite high, so the fully flat cup is definitely the best, the ketchup depends on how runny it is, it varies between brands, but i would still say you can get more from a fully spread basket. The video demonstrates the best angle for runny sauces, never been to arbys, but bbqs are usually more runny

  • @PROtoss987
    @PROtoss987 2 дні тому

    I've heard of a one-time-pad hard drive getting shipped by Amazon or some similar company as a worst-case post-quantum encryption method. In that case it would be much easier to securely send one large hard drive for many messages than the individual messages themselves.

  • @undango
    @undango 2 дні тому

    Great video!

  • @cmyk8964
    @cmyk8964 2 дні тому

    The fact that you stop when you get hit by an item is why the coin item was such a hated gamechanger. If you were up ahead, you no longer had a guarantee that you will be able to get something useful to shield yourself with, or quickly reach top speed to recover (mushroom).

  • @bambugameplays7567
    @bambugameplays7567 2 дні тому

    How about just getting better at the game ?

  • @krandlez
    @krandlez 3 дні тому

    Interesting video... then you got to the maths and started using inches only for height. It kinda broke the momentum of the script having to translate into feet and inches, then again to metric. Talk about cognitive overload

  • @shnobles1o554
    @shnobles1o554 3 дні тому

    i nearly always win with a large character, mr scooty, and the littlest wheels

  • @Vectorized_mind
    @Vectorized_mind 3 дні тому

    Scientists and Engineers are ALWAYS sloppy and cutting corners in their low tier dumbed down version of mathematics,and Mathematicians always have to come and clean up the disgusting displays of mathematics put together by Scientists and Engineers with no appreciation for precise mathematical definitions,theorems and proofs.

  • @Vectorized_mind
    @Vectorized_mind 3 дні тому

    Real Mathematicians know this is DUMB,Scientists and Engineers are sloppy and not as rigorous and sophisticated as Mathematicians when it comes to problem solving,and this is evident in this clickbaity video.

  • @mgancarzjr
    @mgancarzjr 3 дні тому

    It can be made stronger by modifying the encryption key at each round of encryption. For example, the cypher can encrypt the first set of letters. The original letters can encrypt the next set, or the encrypted first set of letters can encrypt the next set. Any combination would work so long as the first set of letters could be decrypted using the key. AES: CBC, PCBC, CFB, and OFB use such a method. The key could also be modified by some agreed method between each round as well: CTR.

    • @MathTheWorld
      @MathTheWorld 3 дні тому

      Thanks for sharing this! That is clever (which is why I never thought of it).

  • @unoacaso105
    @unoacaso105 3 дні тому

    "Statistics reveals unfair genetic bias in all Olympic events."

  • @terterpl
    @terterpl 3 дні тому

    It's a bit silly to label the current hurdle sizes as "arbitrary" as if you want to have a hurdles event, some kind of standard will need to be established, and whatever it will be you'll always be able to call it "arbitrary". Saying so doesn't add anything to the discourse. Also, the international bodies aren't interested in the aformentioned solutions not because they're wholly unsympathetic to the concerns of the athletes but because those solutions are crap. Having multiple hurdle sizes requires managing x times as many hurdles as well as individual needs of every athlete every heat, it's just not practical. Granting the ability for the athletes to space them out is also a huge time investment in a tightly run ship that are the highest level tournaments, not to mention the concern that everyone has to jump the same number of hurdles, and run the same distance at the end of the day. btw this is also why long jump and pole vault aren't proper counterexamples of this already being done. The former doesn't care about total distance travelled, only from the jumping point, and the latter doesn't take horizontal distance at all into account, so spacing the approach out has no baring on finishing the given task. And finally lowering the hurdles doesn't actually make the sport more accesible. Number 1: someone out of the optimal height range right now can still compete, its just that it's harder. Therefore any increased accesibility is in the form of making the race easier for shorter athletes. But number 2: even that isn't the case. Because while the race would indeed be easier for them, it would also be easier for the optimal height athletes as well! Meaning that finally, this change would only aid accesibility if you prove that it make the races easier MORESO for the shorter athletes than the taller ones. Which would be hard, and even if proven, would be a way minor impact that it sounds. But still number 3: even if you insist that that minor impact is worth it, the new smaller height would still be !!!ArBiTrArY!!! It's noteworthy to point out that this sport specifically creates a lower AND an upper bound of innate fitness for optimal performance, but it's not an issue to be solved. It's not "unfair" per se as, well... sports test physical fitness. Obviously people less naturally fit will do worse, it still doesn't stop the hardest workers from overcoming that (as you mentioned at t he end of the video). And the way the event is set up is an intelligent design build up through the long tradition of athletics, and there are good reasons for why things are as they are.

  • @rocks7777
    @rocks7777 3 дні тому

    why not run backwards

  • @99degreesnorth61
    @99degreesnorth61 4 дні тому

    "my son spencer, who is perhaps 15" woah woah woah... PERHAPS?!?!

  • @Kaesemesser0815
    @Kaesemesser0815 4 дні тому

    Normal people: Let their kids win most of the time MathGuy: No!

  • @SobTim-eu3xu
    @SobTim-eu3xu 4 дні тому

    As a cryptographer I love this video

  • @loganshaver1178
    @loganshaver1178 4 дні тому

    Not to mention hurdle races are already one of the most time consuming and logistically tough events to set up and run, custom heights/distances would never be feasible

  • @Pystro
    @Pystro 4 дні тому

    I wonder how much stronger the Vigenere Cipher would be if you used a "secret" alphabet order. In that case you can't decode a whole group that corresponds to one of the letters in the key at once.

  • @Pystro
    @Pystro 4 дні тому

    (Knowing that it's much easier to decrypt a message encrypted by another message) I would have shifted the message by a certain amount (say 30 positions) and subtracted that from the original message. If you guessed an amount that corresponds to the length of the key, then the result is a (part of the) message minus another (part of the) message. And if you run frequency analysis on it, you can use the fact that E-E will be the most common combination of two letters followed by things like E-S, S-E and S-S. All frequencies will be much closer to 1/26th than in a simple substitution cypher, but will still be detectable for a long enough message. This is kind of like what the technique around 4:50 does, except that that only considers occurrences of E-E and S-S, but ignores E-S and S-E.

  • @AKW91
    @AKW91 4 дні тому

    Just as a note: The One-Time-Pad is not only improbable to solve by guessing the key, it is impossible. Since you could decipher the encrypted text to any other text of that length, you have no way of checking, wether you had the right key.

    • @canaDavid1
      @canaDavid1 3 дні тому

      Indeed. The one time pad is not just cryptographically secure, but information theoretic secure. Even an attacker with infinite computational power cannot decipher it.

  • @AaronToponce
    @AaronToponce 4 дні тому

    Key: paradox Plaintext: So what is the answer? In truth, the when-will-I-use-this question is unfair for the teacher. She doesn’t know when you specifically will use it because she can't see into your future. The difficulty in answering this question lies with an implicit assumption hidden beneath the question. The student has an idea of the kinds of situations that she will encounter in her life, and when the response from the teacher doesn’t apply to any of these situations, the mathematics seems useless. But it is fraudulent to assume that we know at a moment of reflection the kinds of situations in which we might use something. Why? Because we don’t know what we don’t know.

  • @robmckennie4203
    @robmckennie4203 4 дні тому

    "8 kids? This has to be some freak Christian shit" and sure enough he works at BYU lmfao

  • @renerpho
    @renerpho 4 дні тому

    Spoiler warning... The key is "paradox".

    • @renerpho
      @renerpho 4 дні тому

      There are two instances of the word "tye", which stick out as likely meaning "the", and the word "Ken?" almost certainly starts with "Wh". From that, we get the partial strings "ara" and "ox" as part of the key word. The two instances of "tye" are 224 characters apart, so the key length is probably a factor of 224 (2,4,7,8,14,16,28). A length of 2 or 4 is impossible, given the partial strings known. With a length of 8, the positions of "ara" and "ox" in the key would collide. This leaves 7, 14 or 16 as the possible key lengths. If it's 7 then the 2nd and 4th character should be an A, and every letter that's at 2 or 4 (mod 7) shouldn't be shifted. Checking the frequency of 2nd and 4th characters reveals that there are 6 and 17 E's respectively at those positions, the 4th and 1st most of any character. This makes it likely that the length is indeed 7. Using this, the beginning of the text becomes "?o wh?t i? the". This quite obviously ends in "what is the", and the next word is "ans?er", revealing the final missing letters of the key: Paradox.

    • @renerpho
      @renerpho 4 дні тому

      So what is the answer? In truth, the when-will-I-use-this question is unfair for the teacher. She doesn’t know when you specifically will use it because she can't see into your future. The difficulty in answering this question lies with an implicit assumption hidden beneath the question. The student has an idea of the kinds of situations that she will encounter in her life, and when the response from the teacher doesn’t apply to any of these situations, the mathematics seems useless. But it is fraudulent to assume that we know at a moment of reflection the kinds of situations in which we might use something. Why? Because we don’t know what we don’t know.

    • @renerpho
      @renerpho 4 дні тому

      Alternatively: In the last sentence, "drb’q" appears twice, 14 characters apart (making the key length either 7 or 14), and the "b'q" must be "n't". This again gives the partial string "ox" at the end of the key word.

    • @renerpho
      @renerpho 4 дні тому

      Or we may just guess at this point that "?ara?ox" is "paradox", and be done.

    • @renerpho
      @renerpho 4 дні тому

      Lesson: Having a key word that includes two instances of the letter A a distance of 1 or 2 apart risks revealing the word "the" in the message.

  • @dougcorey3830
    @dougcorey3830 4 дні тому

    Here is the code to break at the end of the video so you don't have to transcribe it (it is also in the description): Ho nhdh fh tye dbplei? Iq hojty, tks twee-wlzi-X-uje-wvfh qlevhfdn zs xbcpii frf qwe kedqetr. Jhh rltse’t nbll wyeq mlj sgefwcxcrlom txlc uvs fi bvcdipt sye fok'i sve lbqd yfuu triuie. Wvb siwflqratp iq okhwvrlbd ihzs tibhtzoq zfts niwv xc idpowzxt rsvijetzoq vfsdvn esktakh wvb fuvswwlc. Tye vhrseet kop pn zdho lu tye nwkss ff vwqjakirbp ihrt vvb licl hbzduethf fc hvr owct, aed zvbc tye uspeoesh todm khh hbpcyeu rltse’t ddmay ko dbv df khhgb hikudhfdnj, tks jptyepoqxcj shsjh ujeosph. Blt lh fh fiaxrraeet wc xhslmh hept ne nbll ak a pcjtnk oi fbulvcwwlc tye nwkss ff vwqjakirbp xn nhlqe le dijvq jsv srabihznj. Ken? Bvcdipt wv drb’q znfw zvxi wv drb’q znfw.

  • @mathbrotherc
    @mathbrotherc 4 дні тому

    What about this method. Both the sender and user have the same dictionary. Then the secret key could just be a word in the dictionary, but that is not what you use to code and decode the message. Both use the letters that come right after the key word in the dictionary and go as far as needed for the message. This makes it a one-time pad, but solves the problem of passing a long secret key.

    • @troncooo409
      @troncooo409 4 дні тому

      Just as said by someone. Use the square root of 2 or pi or any other irregular pattern. Pick a starting point and some function to move through the digits and you can code/decide your secret message

    • @mathbrotherc
      @mathbrotherc 4 дні тому

      ​@@troncooo409 but someone pointed out that if a message gets lost, or there is just one error, then it throws off the ability to decode. Although with computers, I guess you could just keep moving down the infinite decimal one space at a time until you get a comprehendible message.

    • @HeavyMetalMouse
      @HeavyMetalMouse День тому

      This is reminiscent of a 'book code' - essentially, you and your partner both own a copy of a particular book, and agree on some way to know what page to use to encode-decode a given message, then use the text of that page as your encoding-text for any messages you send. If the middleman attempting to break your code doesn't know what book you're using, nor how you are choosing your page, then they won't be able to break the cypher, since the page text will generally be longer than any message you will send this way.

  • @jcorey333
    @jcorey333 4 дні тому

    Mathematical cryptography was my favorite math class in college! I like cryptographic stuff, it's really interesting, and an oddly practical use case for number theory.

  • @simonwillover4175
    @simonwillover4175 4 дні тому

    0:30 in this precise situation, going backwards (i.e. to the right) is likely optimal. Chances are that if there is a vehicle in the next lane, it is farther away from you. If it's not, then you may as well stand in the middle and hope both vehicles swerve a little bit. If the other vehicle is very small, jumping over it is more safe, even though you will probably still get injured. A moving vehicle can't hurt you very much if it's mostly under you.

  • @akja4271
    @akja4271 4 дні тому

    I love the editing of this video, you can see the effort put into it while it also feeling kind of "home made" if that makes any sense, I love that everything is explained only using drawings or images

  • @freshrockpapa-e7799
    @freshrockpapa-e7799 4 дні тому

    Please put the secret message in a comment or the description, thanks!

    • @mathbrotherc
      @mathbrotherc 4 дні тому

      Ok, I will put it in the description. Just give me a few minutes.

    • @MathTheWorld
      @MathTheWorld 4 дні тому

      @freshrockpapa-e7799 Here is the code: Ho nhdh fh tye dbplei? Iq hojty, tks twee-wlzi-X-uje-wvfh qlevhfdn zs xbcpii frf qwe kedqetr. Jhh rltse’t nbll wyeq mlj sgefwcxcrlom txlc uvs fi bvcdipt sye fok'i sve lbqd yfuu triuie. Wvb siwflqratp iq okhwvrlbd ihzs tibhtzoq zfts niwv xc idpowzxt rsvijetzoq vfsdvn esktakh wvb fuvswwlc. Tye vhrseet kop pn zdho lu tye nwkss ff vwqjakirbp ihrt vvb licl hbzduethf fc hvr owct, aed zvbc tye uspeoesh todm khh hbpcyeu rltse’t ddmay ko dbv df khhgb hikudhfdnj, tks jptyepoqxcj shsjh ujeosph. Blt lh fh fiaxrraeet wc xhslmh hept ne nbll ak a pcjtnk oi fbulvcwwlc tye nwkss ff vwqjakirbp xn nhlqe le dijvq jsv srabihznj. Ken? Bvcdipt wv drb’q znfw zvxi wv drb’q znfw.

  • @FrankAnzalone
    @FrankAnzalone 4 дні тому

    I can send you a otp using the square root of 2 I use as many digits as I have in the message you would know the length of the message and the next message would continue from where we left off

    • @foobar9220
      @foobar9220 4 дні тому

      You have now introduced a path dependency. If one message gets lost or even just a part of it, you will no longer be able to decipher any subsequent message. And while that approach has a certain elegance in the age of computers, your OTP is not random. The fact that makes it so easy to transport, makes it also vulnerable to brute forcing after educated guess. De facto you are using the same pad multiple times, so once it is broken, all your messages are broken. Which is in stark contrast to true OTP where each message is independent and has to be broken separately.

    • @FrankAnzalone
      @FrankAnzalone 4 дні тому

      I partially agree with you I did not intend to start from the very beginning for each message I intended for the next message to pick up from where the last left off

    • @mathbrotherc
      @mathbrotherc 4 дні тому

      Here is a variation of your method. Pick a root, such as a 5th root, that the two communicators will use, then the secret key can just be a number that is not a perfect 5th root. You can use the infinite decimal representation for the encoding and decoding.

    • @troncooo409
      @troncooo409 4 дні тому

      Additional you can provide a function to step though your 'magic' number

    • @Pystro
      @Pystro 4 дні тому

      This is kind of what stream ciphers do. They use an algorithm or function (in this case "decimal expansion of the square root of the secret number") to turn a short secret (in this case the single digit number "5") into a stream of arbitrary length. And that stream can then be used like a one time pad. The only problem here is that the secret key "5" is very easy to guess (it's the 5th key anyone brute forcing this guess would try), and that "decimal expansion of the square root" is not introducing very much randomness.

  • @Petch85
    @Petch85 4 дні тому

    Cryptography is just some of the most fun math.❤

  • @darkgobelin4439
    @darkgobelin4439 4 дні тому

    this channel needs more subscribers 😭😭😭

  • @supalupallama
    @supalupallama 4 дні тому

    Great video!

  • @panxel8615
    @panxel8615 4 дні тому

    Yippe