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Paper and Pencil RSA (starring the extended Euclidean algorithm)
 
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For more detail on back substitution go to: http://bit.ly/1W5zJ2g Here is a link with help on relative primes: http://www.mathsisfun.com/definitions/relatively-prime.html This is (hopefully) a very simple example of how to calculate RSA public and private keys. Just to be clear: these values should not be used for any real encryption purposes.
Views: 119732 Jenn Janesko
Public Key Cryptography: RSA Encryption Algorithm
 
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RSA Public Key Encryption Algorithm (cryptography). How & why it works. Introduces Euler's Theorem, Euler's Phi function, prime factorization, modular exponentiation & time complexity. Link to factoring graph: http://www.khanacademy.org/labs/explorations/time-complexity
Views: 546995 Art of the Problem
Public-Key Cryptography Math Explained
 
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Explains to algebra students the mathematics needed to perform public-key cryptography.
Views: 4874 Aaron Solt
Public key cryptography - Diffie-Hellman Key Exchange (full version)
 
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The history behind public key cryptography & the Diffie-Hellman key exchange algorithm. We also have a video on RSA here: https://www.youtube.com/watch?v=wXB-V_Keiu8
Views: 614647 Art of the Problem
Symmetric Key and Public Key Encryption
 
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Modern day encryption is performed in two different ways. Check out http://YouTube.com/ITFreeTraining or http://itfreetraining.com for more of our always free training videos. Using the same key or using a pair of keys called the public and private keys. This video looks at how these systems work and how they can be used together to perform encryption. Download the PDF handout http://itfreetraining.com/Handouts/Ce... Encryption Types Encryption is the process of scrambling data so it cannot be read without a decryption key. Encryption prevents data being read by a 3rd party if it is intercepted by a 3rd party. The two encryption methods that are used today are symmetric and public key encryption. Symmetric Key Symmetric key encryption uses the same key to encrypt data as decrypt data. This is generally quite fast when compared with public key encryption. In order to protect the data, the key needs to be secured. If a 3rd party was able to gain access to the key, they could decrypt any data that was encrypt with that data. For this reason, a secure channel is required to transfer the key if you need to transfer data between two points. For example, if you encrypted data on a CD and mail it to another party, the key must also be transferred to the second party so that they can decrypt the data. This is often done using e-mail or the telephone. In a lot of cases, sending the data using one method and the key using another method is enough to protect the data as an attacker would need to get both in order to decrypt the data. Public Key Encryption This method of encryption uses two keys. One key is used to encrypt data and the other key is used to decrypt data. The advantage of this is that the public key can be downloaded by anyone. Anyone with the public key can encrypt data that can only be decrypted using a private key. This means the public key does not need to be secured. The private key does need to be keep in a safe place. The advantage of using such a system is the private key is not required by the other party to perform encryption. Since the private key does not need to be transferred to the second party there is no risk of the private key being intercepted by a 3rd party. Public Key encryption is slower when compared with symmetric key so it is not always suitable for every application. The math used is complex but to put it simply it uses the modulus or remainder operator. For example, if you wanted to solve X mod 5 = 2, the possible solutions would be 2, 7, 12 and so on. The private key provides additional information which allows the problem to be solved easily. The math is more complex and uses much larger numbers than this but basically public and private key encryption rely on the modulus operator to work. Combing The Two There are two reasons you want to combine the two. The first is that often communication will be broken into two steps. Key exchange and data exchange. For key exchange, to protect the key used in data exchange it is often encrypted using public key encryption. Although slower than symmetric key encryption, this method ensures the key cannot accessed by a 3rd party while being transferred. Since the key has been transferred using a secure channel, a symmetric key can be used for data exchange. In some cases, data exchange may be done using public key encryption. If this is the case, often the data exchange will be done using a small key size to reduce the processing time. The second reason that both may be used is when a symmetric key is used and the key needs to be provided to multiple users. For example, if you are using encryption file system (EFS) this allows multiple users to access the same file, which includes recovery users. In order to make this possible, multiple copies of the same key are stored in the file and protected from being read by encrypting it with the public key of each user that requires access. References "Public-key cryptography" http://en.wikipedia.org/wiki/Public-k... "Encryption" http://en.wikipedia.org/wiki/Encryption
Views: 464227 itfreetraining
2.4.1 RSA Public Key Encryption: Video
 
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MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
Views: 17465 MIT OpenCourseWare
Elliptic Curve Cryptography Overview
 
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John Wagnon discusses the basics and benefits of Elliptic Curve Cryptography (ECC) in this episode of Lightboard Lessons. Check out this article on DevCentral that explains ECC encryption in more detail: https://devcentral.f5.com/articles/real-cryptography-has-curves-making-the-case-for-ecc-20832
Views: 158581 F5 DevCentral
RSA Algorithm With Example
 
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Views: 107056 B Hariharan
Secret Key Exchange (Diffie-Hellman) - Computerphile
 
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How do we exchange a secret key in the clear? Spoiler: We don't - Dr Mike Pound shows us exactly what happens. Mathematics bit: https://youtu.be/Yjrfm_oRO0w Computing Limit: https://youtu.be/jv2H9fp9dT8 https://www.facebook.com/computerphile https://twitter.com/computer_phile This video was filmed and edited by Sean Riley. Computer Science at the University of Nottingham: https://bit.ly/nottscomputer Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
Views: 193654 Computerphile
Extended Euclidean Algorithm Example
 
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In this video I show how to run the extended Euclidean algorithm to calculate a GCD and also find the integer values guaranteed to exist by Bezout's theorem.
Views: 47658 John Bowers
Cryptography - Part 1
 
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Course web page: http://web2.slc.qc.ca/pcamire/
Views: 668 [email protected]
How to Multiply  in Modular Arithmetic - Cryptography - Lesson 5
 
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In this tutorial, I demonstrate two different approaches to multiplying numbers in modular arithmetic. Learn Math Tutorials Bookstore http://amzn.to/1HdY8vm Donate - http://bit.ly/19AHMvX
Views: 31164 Learn Math Tutorials
Vigenere Cipher 1
 
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Encrypt the message MAKE IT HAPPEN using the Vigenėre cipher and key word MATH.
Views: 146595 MathAfterMath
Modular exponentiation
 
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Using the repeated squaring algorithm to calculate 2^300 mod 50.
Views: 81271 GVSUmath
Fermat's Little Theorem examples
 
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Find the least residue (modulo p) using Fermat's Little Theorem; or find the remainder when dividing by p. We start with a simple example, so that we can easily check the answer, then look at much bigger numbers where the answers cannot be directly checked on a calculator.
Views: 204553 Maths with Jay
What is Modular Arithmetic - Introduction to Modular Arithmetic - Cryptography - Lesson 2
 
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Modular Arithmetic is a fundamental component of cryptography. In this video, I explain the basics of modular arithmetic with a few simple examples. Learn Math Tutorials Bookstore http://amzn.to/1HdY8vm Donate - http://bit.ly/19AHMvX
Views: 143403 Learn Math Tutorials
Elliptic Curve Point Addition
 
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This was for the MAO Math Presentation Competition. I won! :D
Views: 30175 Riverninj4
Extended Euclidean Algorithm and Inverse Modulo Tutorial
 
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Using EA and EEA to solve inverse mod.
Views: 375363 Emily Jane
Mathematical Cryptography
 
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What a cryptography is. How Mathematics is applied for encryption and decryption. What Magic Square is. How to calculate a magic constant. Application of mathematical cryptography.
Views: 1349 Aizhan Akhmetbek
CryptographyRSA
 
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Introduces Public Key Cryptography and RSA Table of Contents: 00:00 - Cryptography 00:05 - Encryption 00:36 - Caesar Cipher 02:07 - Encryption 02:42 - Public – Key Cryptography 03:18 - We need to know … 03:30 - Recall : Congruence Modulo n 03:56 - Congruence modulo n 04:27 - What's so important? 05:02 - Modular Arithmetic 06:04 - Residues 06:42 - Practical Applications 08:10 - A Computation Technique 10:12 - Relatively Prime & Inverse 11:22 - Example 12:14 - RSA 12:46 - To encode… 14:07 - To decode… 14:36 - Let’s Decode it! 14:37 - Example 17:23 - Let’s Decode it! 18:50 - Let’s Decode it! 19:30 - That’s it!
Views: 81 Joseph Dugan
Public Key Encryption: Elliptic Curve Ciphers
 
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I made a mistake ... the equation is y^2 = x^3 - 3x + 5 ... I should have said "=" Details: http://asecuritysite.com/encryption/ecc http://asecuritysite.com/comms/plot05
Views: 1684 Bill Buchanan OBE
The Mathematics of Diffie-Hellman Key Exchange | Infinite Series
 
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Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Symmetric keys are essential to encrypting messages. How can two people share the same key without someone else getting a hold of it? Upfront asymmetric encryption is one way, but another is Diffie-Hellman key exchange. This is part 3 in our Cryptography 101 series. Check out the playlist here for parts 1 & 2: https://www.youtube.com/watch?v=NOs34_-eREk&list=PLa6IE8XPP_gmVt-Q4ldHi56mYsBuOg2Qw Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode Topology vs. “a” Topology https://www.youtube.com/watch?v=tdOaMOcxY7U&t=13s Symmetric single-key encryption schemes have become the workhorses of secure communication for a good reason. They’re fast and practically bulletproof… once two parties like Alice and Bob have a single shared key in hand. And that’s the challenge -- they can’t use symmetric key encryption to share the original symmetric key, so how do they get started? Written and Hosted by Gabe Perez-Giz Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington Made by Kornhaber Brown (www.kornhaberbrown.com) Thanks to Matthew O'Connor, Yana Chernobilsky, and John Hoffman who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose, Jason Hise, Thomas Scheer, Marting Sergio H. Faester, CSS, and Mauricio Pacheco who are supporting us at the Lemma level!
Views: 48341 PBS Infinite Series
Number Theory 4  Intro to Encryption
 
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Part 3: Introduction to codes and an example or RSA public key encryption.
The prime number theorem | Journey into cryptography | Computer Science | Khan Academy
 
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How can we estimate the number of primes up to x? Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/time-space-tradeoff?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/comp-number-theory/v/trial-division-primality-test-using-a-sieve-prime-adventure-part-5?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 80599 Khan Academy Labs
How to Break Cryptography | Infinite Series
 
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Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Only 4 steps stand between you and the secrets hidden behind RSA cryptography. Find out how to crack the world’s most commonly used form of encryption. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode: Can We Combine pi & e into a Rational Number? https://www.youtube.com/watch?v=bG7cCXqcJag&t=25s Links to other resources: Shor's paper: https://arxiv.org/abs/quant-ph/9508027v2 Lecture on Shor's Algorithm: https://arxiv.org/pdf/quant-ph/0010034.pdf Blog on Shor's algorithm: http://www.scottaaronson.com/blog/?p=208 Video on RSA cryptography: https://www.youtube.com/watch?v=wXB-V_Keiu8 Another video on RSA cryptography: https://www.youtube.com/watch?v=4zahvcJ9glg Euler's Big Idea: https://en.wikipedia.org/wiki/Euler%27s_theorem (I can find a non-wiki article, but I don't actually use this in the video. It's just where to learn more about the relevant math Euler did.) Written and Hosted by Kelsey Houston-Edwards Produced by Rusty Ward Graphics by Ray Lux Made by Kornhaber Brown (www.kornhaberbrown.com) Challenge Winner - Reddles37 https://www.youtube.com/watch?v=bG7cCXqcJag&lc=z135cnmgxlbwch1ds233sbzgaojkivaz004 Comments answered by Kelsey: Joel David Hamkins https://www.youtube.com/watch?v=bG7cCXqcJag&lc=z13zdpcwyk2ofhugh04cdh4agsr2whmbsmk0k PCreeper394 https://www.youtube.com/watch?v=bG7cCXqcJag&lc=z135w324kw21j1qi104cdzvrpoixslmq1jw
Views: 183215 PBS Infinite Series
Caesar Cipher Encryption and Decryption with Solved Example.
 
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This video will explain you in detail how caesar cipher encryption and decryption technique works. This video includes solved example for caesar cipher encryption and decryption algorithm on whiteboard. I had explained in detail about difficulties student might face while solving example related to caesar cipher in their examination. More videos about encryption algorithms, computer tips and tricks, ethical hacking are coming very soon so share this video with your friends. Subscribe to my youtube channel so that you can know when I upload any new video. See you all very soon in next video, have great days ahead. Thanks for watching my video. #caesar #encryption #decryption
Views: 24885 SR COMPUTER EDUCATION
Cryptography Notation (number theory)
 
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Notation (number theory) To get certificate subscribe: https://www.coursera.org/learn/crypto ======================== Playlist URL: https://www.youtube.com/playlist?list=PL2jykFOD1AWYosqucluZghEVjUkopdD1e ======================== About this course: Cryptography is an indispensable tool for protecting information in computer systems. In this course you will learn the inner workings of cryptographic systems and how to correctly use them in real-world applications. The course begins with a detailed discussion of how two parties who have a shared secret key can communicate securely when a powerful adversary eavesdrops and tampers with traffic. We will examine many deployed protocols and analyze mistakes in existing systems. The second half of the course discusses public-key techniques that let two parties generate a shared secret key.
Views: 1265 intrigano
Algebra 2 - Inverse Matrices to Encrypt and Decrypt Messages
 
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25 80 12 3 5! With the appropriate matrix understanding, you'd know that I just said "Hello!" Yay Math in Studio presents how to use inverse matrices to encrypt and decrypt messages. This is a fascinating topic, and once you understand how it works, it's not so bad. In this video, we walk you through the process of setting up a message, encrypting it with what's called an "encoding matrix," then use the inverse of that matrix to decrypt. Then we round out the lesson with the same tasks on the TI-84 graphing calculator. Enjoy this peek into the world of code breaking, YAY MATH! Learning should be inspirational. Please visit yaymath.org for: all videos free quizzes free worksheets debut book on how to connect with and inspire students entire courses you can download
Views: 3842 yaymath
Elliptic Curve Cryptography Tutorial - Understanding ECC through the Diffie-Hellman Key Exchange
 
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Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com Elliptic Curve Cryptography (ECC) is a type of public key cryptography that relies on the math of both elliptic curves as well as number theory. This technique can be used to create smaller, faster, and more efficient cryptographic keys. In this Elliptic Curve Cryptography tutorial, we build off of the Diffie-Hellman encryption scheme and show how we can change the Diffie-Hellman procedure with elliptic curve equations. Watch this video to learn: - The basics of Elliptic Curve Cryptography - Why Elliptic Curve Cryptography is an important trend - A comparison between Elliptic Curve Cryptography and the Diffie-Hellman Key Exchange
Views: 19749 Fullstack Academy
Invertibility Of RSA - Applied Cryptography
 
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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 863 Udacity
Bitcoin 101 - Elliptic Curve Cryptography - Part 4 - Generating the Public Key (in Python)
 
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Welcome to part four in our series on Elliptic Curve Cryptography. I this episode we dive into the development of the public key. In just 44 lines of code, with no special functions or imports, we produce the elliptic curve public key for use in Bitcoin. Better still, we walk you through it line by line, constant by constant. Nothing makes the process clearer and easier to understand than seeing it in straight forward code. If you've been wondering about the secp256k1 (arguably the most important piece of code in Bitcoin), well then this is the video for you. This is part 4 of our upcoming series on Elliptic Curves. Because of such strong requests, even though this is part 4, it is the first one we are releasing. In the next few weeks we will release the rest of the series. Enjoy. Here's the link to our Python code (Python 2.7.6): https://github.com/wobine/blackboard101/blob/master/EllipticCurvesPart4-PrivateKeyToPublicKey.py Here's the private key and the link to the public address that we use. Do you know why it is famous? Private Key : A0DC65FFCA799873CBEA0AC274015B9526505DAAAED385155425F7337704883E Public Address on Blockchain.info https://blockchain.info/address/1JryTePceSiWVpoNBU8SbwiT7J4ghzijzW Here's the private key we use at the end: 42F615A574E9CEB29E1D5BD0FDE55553775A6AF0663D569D0A2E45902E4339DB Public Address on Blockchain.info https://blockchain.info/address/16iTdS1yJhQ6NNQRJqsW9BF5UfgWwUsbF Welcome to WBN's Bitcoin 101 Blackboard Series -- a full beginner to expert course in bitcoin. Please like, subscribe, comment or even drop a little jangly in our bitcoin tip jar 1javsf8GNsudLaDue3dXkKzjtGM8NagQe. Thanks, WBN
Views: 21299 CRI
RSA Algorithm concept and Example
 
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Enroll to Full Course: https://goo.gl/liK0Oq Networks#4: The video explains the RSA Algorithm (public key encryption) Concept and Example along with the steps to generate the public and private keys. The video also provides a simple example on how to calculate the keys and how to encrypt and decrypt the messages. For more, visit http://www.EngineeringMentor.com. FaceBook: https://www.facebook.com/EngineeringMentor. Twitter: https://www.twitter.com/Engi_Mentor
Views: 161954 Skill Gurukul
This Video was Not Encrypted with RSA | Infinite Series
 
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Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Learn through active problem-solving at Brilliant: https://brilliant.org/InfiniteSeries/ Last episode we discussed Symmetric cryptography https://www.youtube.com/watch?v=NOs34_-eREk Here we break down Asymmetric crypto and more. Tweet at us! @pbsinfinite Facebook: facebook.com/pbsinfinite series Email us! pbsinfiniteseries [at] gmail [dot] com Previous Episode (Almost) Unbreakable Crypto | Infinite Series https://www.youtube.com/watch?v=NOs34_-eREk How To Break Cryptography https://www.youtube.com/watch?v=12Q3Mrh03Gk&list=PLa6IE8XPP_gnot4uwqn7BeRJoZcaEsG1D&index=2 Last time, we discussed symmetric encryption protocols, which rely on a user-supplied number called "the key" to drive an algorithm that scrambles messages. Since anything encrypted with a given key can only be decrypted with the same key, Alice and Bob can exchange secure messages once they agree on a key. But what if Alice and Bob are strangers who can only communicate over a channel monitored by eavesdroppers like Eve? How do they agree on a secret key in the first place? Written and Hosted by Gabe Perez-Giz Produced by Rusty Ward Graphics by Ray Lux Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington Made by Kornhaber Brown (www.kornhaberbrown.com) Thanks to Matthew O'Connor and Yana Chernobilsky who are supporting us on Patreon at the Identity level! And thanks to Nicholas Rose and Mauricio Pacheco who are supporting us at the Lemma level!
Views: 56051 PBS Infinite Series
How Internet Encryption Works - Diffie Hellman Public Key Cryptography
 
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In this video, we learn how internet encryption works to secure your data. Diffie Hellman is the most popular form of internet encryption. It allows two or more parties to exchange information securely. We look at how it works, in general, and then we look at the specific equations that are behind it. We also discuss downfalls with Diffie Hellman, which now requires 2048 bit keys, and the potential for Elliptic Curve Cryptography. For all your Global IT Security Needs, in Edmonton, AB and around the world: Call us 24/7 at 1 866 716 8955 / 780 628 1816 Visit us at https://www.hsmitservices.com/network-security We'll take care of you!
Views: 276 HSM IT Services
RSA encryption: Step 4 | Journey into cryptography | Computer Science | Khan Academy
 
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RSA worked example Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/checkpoint-advanced-lessons?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/euler-s-totient-function-phi-function?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 95851 Khan Academy Labs
Correctness Of RSA - Applied Cryptography
 
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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 1142 Udacity
The Chinese Remainder Theorem made easy
 
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A solution to a typical exam question. See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Views: 278735 Randell Heyman
RSA Encryption (step 5)
 
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RSA encryption. (phi video: http://www.youtube.com/watch?v=Rp8-ZAHPbg4&list=PLbg3ZX2pWlgLoapF5VvM_8h5OR-XW9pbr&index=4)
Views: 45643 Art of the Problem
Solving Congruence Equations by Listing
 
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In the video, we avoid using the Euclidean Algorithm to solve a congruence equation that you might find in a Math For Liberal Arts or Survey of Mathematics course, by using a less sophisticated but reliable method of "systematic listing." When the numbers are not very large, this method is fine for solving equations involving modular arithmetic. For early studies of the methods of RSA Public Key Cryptography using small numbers, this is a good way to get a feel for the step in the process in which the decryption exponent must be found by solving a congruence equation. This method is not appropriate for more advanced courses such as Coding Theory.
Views: 667 Ms. Hearn
Modular Exponentiation Cipher
 
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An example of encrypting a short message using modular exponentiation.
Views: 407 David Metzler
Diffie Hellman Summary - Applied Cryptography
 
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This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 738 Udacity
Multiplicative inverses mod n
 
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Views: 85600 GVSUmath
The Math Behind Elliptic Curves in Weierstrass Form
 
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Elliptic curve cryptography is the hottest topic in public key cryptography world. For example, bitcoin and blockchain is mainly based on elliptic curves. We can also do encryption / decryption, key exchange and digital signatures with elliptic curves. This video covers the proofs of addition laws for both point addition and doubling for elliptic curves in weierstrass form. This type curves mostly used in prime field studies. This is the preview video of Elliptic Curve Cryptography Masterclass online course. You can find the course content here: https://www.udemy.com/elliptic-curve-cryptography-masterclass/?couponCode=ECCMC-BLOG-201801 Documentation: https://sefiks.com/2016/03/13/the-math-behind-elliptic-curve-cryptography/
Keeping Secrets: Cryptography In A Connected World
 
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Josh Zepps, Simon Singh, Orr Dunkelman, Tal Rabin, and Brian Snow discuss how, since the earliest days of communication, clever minds have devised methods for enciphering messages to shield them from prying eyes. Today, cryptography has moved beyond the realm of dilettantes and soldiers to become a sophisticated scientific art—combining mathematics, physics, computer science, and electrical engineering. It not only protects messages, but it also safeguards our privacy. From email to banking transactions, modern cryptography is used everywhere. But does it really protect us? What took place was a discussion of cryptography’s far-reaching influence throughout history from Julius Caesar’s reign to Julian Assange’s WikiLeaks, and the ways in which it—and our privacy—are constantly under assault today as threats lurk behind IP addresses, computational power increases, and our secrets move online. The World Science Festival gathers great minds in science and the arts to produce live and digital content that allows a broad general audience to engage with scientific discoveries. Our mission is to cultivate a general public informed by science, inspired by its wonder, convinced of its value, and prepared to engage with its implications for the future. Subscribe to our YouTube Channel for all the latest from WSF. Visit our Website: http://www.worldsciencefestival.com/ Like us on Facebook: https://www.facebook.com/worldsciencefestival Follow us on twitter: https://twitter.com/WorldSciFest Original Program Date: June 4, 2011 MODERATOR: Josh Zepps PARTICIPANTS: Orr Dunkelman, Tal Rabin, Simon Singh, Brian Snow Cryptography In A Connected World 00:12 Josh Zepps Introduction 01:33 Participant Introductions 02:30 What is the history of Cryptography? 04:52 What's the difference between Cryptography and Encryption? 06:56 How the enigma machine works. 12:09 You’re Only as Secure as Your Weakest Link 19:18 Public key and private key encryption example. 22:09 What is the distinction between hacking and cryptanalysis? 26:55 The NSA and what they are looking for? 28:25 How do we establish cyber security? 36:20 How do systems get broken into? 45:30 How do you break a code? 56:38 Public key and the key distribution problem. 01:03:04 Codes will need to be tough due to mathematicians getting better. 01:08:15 The cloud and how we protect it. 01:09:22 In a world that is increasingly networked, How do we protect ourselves? 01:14:30 Online voting ... When and how? 01:20:52
Views: 66130 World Science Festival
Applied Cryptography: RSA - Finding Large Primes - Part 1
 
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This video gives an introduction and motivation about finding large prime numbers for the RSA. General ideas are discussed.
Views: 1571 Leandro Junes
Cryptography with Matrices
 
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This tutorial will show you how to encode and decode messages using matrices.
Views: 11331 Marshematics
How to calculate a power b modulus n i.e (a ^ b mod n)
 
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Learn How to calculate a power b modulus n i.e (a ^ b mod n) using Fast exponential modular arithmetic technique!! Follow us on : http://aptitudefordummies.wordpress.com Follow us in Fb : https://www.facebook.com/aptitudedummies Google+ : [email protected]
Views: 86653 Aptitude for dummies

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