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Prime Numbers & Public Key Cryptography
 
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A simple explanation of how prime numbers are used in Public Key Cryptography from ABC1 science program Catalyst
Views: 63318 Simon Pampena
Number Theory: Fermat's Little Theorem
 
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Fermat's Little Theorem was observed by Fermat and proven by Euler, who generalized the theorem significantly. This theorem aids in dividing extremely large numbers and can aid in testing numbers to see if they are prime. For more advanced students, this theorem can be easily proven using basic group theory. Prerequisites: To follow this video, you will want to first learn the basics of congruences. If you found this video helpful, please share it with your friends! You might like the other videos in our Number Theory Playlist: https://www.youtube.com/watch?v=VLFjOP7iFI0&list=PLi01XoE8jYojnxiwwAPRqEH19rx_mtcV_ Don't forget to Subscribe to our channels so you'll hear about our newest videos: http://www.youtube.com/subscription_center?add_user=SocraticaStudios Subject: Number Theory Teacher: Michael Harrison Artist: Katrina de Dios
Views: 148246 Socratica
Encryption and Keywords Using Large Prime Numbers
 
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Larry Wittig presents a brief overview of encryption methodologies including Enigma, DES and AES, Diffie-Hellman Key Exchange, and RSA Public Key Infrastructure. Presented to the Lexington Computer and Technology Group on October 10, 2018 at the Lexington Community Center. A True Images Production, in cooperation with LexMedia.
Views: 35 trueimagesphoto
Miller Rabin Primality Test | With Solved Example |Cryptography And Network Security
 
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Proof of the Rabin-Miller Theorem, Showing the Validity of the Rabin-Miller Test for Composite Numbers In this video we have discussed about how the Primality Testing failed proving Fermat's Theorem so to overcome that we learned about this new method known as Miller Rabin Test. Visit Our Channel :- https://www.youtube.com/channel/UCxik... Follow Smit Kadvani on :- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on :- Facebook :- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Facebook :- https://www.facebook.com/ankitsoni.1511 Instagram :- https://www.instagram.com/ankit_soni1511
Views: 26522 Quick Trixx
Number Theory: Diophantine Equation: ax+by=gcd(a,b)
 
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Once you know how to solve diophantine equations with a single variable, the next step in complexity is to consider equations with two variables. The simplest such equations are linear and take the form ax+by=c. Before we solve this equation generally, we need a preliminary result. We show that you can solve the equation ax+by=GCD(a,b) by performing the Euclidean algorithm, and then reverse-substituting to arrive at a single solution. Subject: Elementary Number Theory Teacher: Michael Harrison
Views: 91395 Socratica
Miller-Rabin Primality Test
 
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Here's a second (better) example for how to use the Miller-Rabin primality test.
Views: 38780 Theoretically
Purdue Math Club: A Prime Seminar on Primes - Read Description!
 
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I was invited to speak at The Purdue Math Club for "A Prime Seminar on Primes." Let's find more gigantic probable primes! For the Powerpoint, and about 4 pages of links and notes that will really help you, go to http://www.mattstath.com/topprimes/prime_seminar.htm The Repunit Project is at http://www.elektrosoft.it/matematica/repunit/repunit.htm and I recommend it if you want to help participate. Please click the CC button at the bottom of this video because the sound isn't the best.
Views: 446 stathmk
What is the basis for most modern cryptography?
 
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Trapdoor functions have proven fairly difficult to find. Most modern cryptosystems—​including RSA—​are based on factoring. Given two very large prime numbers it is easy to multiply them together to create a third number that has only two factors. But given that third number it is very hard to determine what it’s two factors are. This asymmetry is the basis of modern cryptography and most of our online security. If anyone ever determines how to quickly factor huge numbers, it will have enormous and incredibly disruptive societal consequences. Credits: Talking: Geoffrey Challen (Assistant Professor, Computer Science and Engineering, University at Buffalo). Producing: Greg Bunyea (Undergraduate, Computer Science and Engineering, University at Buffalo). Part of the https://www.internet-class.org online internet course. A blue Systems Research Group (https://blue.cse.buffalo.edu) production.
Views: 349 internet-class
Prime Numbers - The Sieve of Eratosthenes
 
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Finding all the prime numbers between 1 and 100 using the technique devised by the ancient Greek mathematician Eratosthenes
Views: 146018 Ron Barrow
The Sieve of Eratosthenes
 
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Views: 4881 Eddie Woo
Lecture 2 Adarsha - Distribution of Prime Numbers part 2
 
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Lecture #2 at Rockefeller University: Adarsha Subick presents his PowerPoint on Distribution of Prime Numbers. Harlem Children Society (HCS: www.hcs2k.org) a Not-for-profit organization founded on June 5, 2000, by Dr. Sat Bhattacharya, selects promising students from communities ridden by poverty and adverse situations, engaging and training them in one-on-one mentoring and hands-on research in STEM and allied sciences. The US HCS Class of 2010 consists of 300 young scholars from over 200 schools from diverse ethnicities (40% African American, 26% Hispanic, 16% Native American, 14% Asian, and 4% Caucasian). They are mentored by over 1500 mentors -- all leading scientists, engineers, doctors and other professionals from over 250 institutions. All HCS students graduating high school students were admitted to college/university, with 20% attending Ivy League schools. "HCS Global Science Parades and Science Street Fairs & Festivals", organized in the Fall each year are the jewels in the crown of the HCS program, culminating in a series of simultaneous worldwide, global webcasted events, where students present their hands-on research projects. The event celebrates the unifying impact of academic inquiry and the human spirit across continental and cultural divides.
Views: 78 hcsnyc
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 STILL NEED MORE HELP? Connect one-on-one with a Math Tutor. Click the link below: https://trk.justanswer.com/aff_c?offer_id=2&aff_id=8012&url_id=232 :)
Views: 156469 Learn Math Tutorials
What are security issues in Cryptography
 
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www.hiteshChoudhary.com www.newdemy.com What are security issues in Cryptography? Why there is a need of Cryptography is a very important question. In the earlier times when one need to transfer any sensitive information, one can write it on paper and can seal it along with manual monitoring system i.e. one person guarding or protecting the information. But after the invention of radio, things got changed. One can tune into your radio without your knowledge and can collect all information. Just collecting the information is not a bug issue but one can modify the information as well. Information security attack is a broad term, so let’s make a few scenario examples to clarify it out on a broad level. Case 1 User A wants to transmit a file to user B. The file may contain some sensitive information like Bank passwords. User C, who is not authorized to read the file, is somehow monitor the transfer and captures a copy of the file during transmission. Case 2 User A wants to transmit a file to user B. User A gives some bank details to open and close new accounts. User C, intercepts the file and add User C’s information to be added and gets a new unauthorized bank account. User C can also delete some valid account information by altering the information. User B updates the details according to information passed by User A, having no idea that information was tempered on its way. Case 3 User A is just relaxing in this case. User C, who is an unauthorized person, just creates his own message and act as a User A and passes the information to User B. User B accepts the message and act according the message. It is totally up to User C that what he wants to do. User C can format all the information or add some backdoor information in the system and so on. Case 4 User C works for the company and due to some reasons C was fires from the company. User A asks the User B, who is an administrator in the company to lock all the access of User C’s account. But User C, creates some useless traffic and delays the message to reach to user B. User c makes a final access to the account and downloads the entire information to local or permanent access. After completing the work he allows the message to get passed. Case 5 A message is sent from user A to user B to purchase xyz share or xyz amount. Things didn’t went in right direction for User A and investment lose value. Now user A denies that he ever passed any message to user B to purchase any share. These are some of the broadly covered situations explaining the need of cryptography. Cryptography gives us a solution to all of these problems. We just have to utilize the concept and put it in some form of codes or protocols to implement it.
Views: 2389 Hitesh Choudhary
cryptography - Number Theory Two
 
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Cryptography To get certificate subscribe: https://www.coursera.org/learn/cryptography ======================== Playlist URL: https://www.youtube.com/playlist?list=PL2jykFOD1AWb07OLBdFI2QIHvPo3aTTeu ============================ Youtube channel: https://www.youtube.com/user/intrigano ============================ https://scsa.ge/en/online-courses/ https://www.facebook.com/cyberassociation/
Views: 679 intrigano
Euler's Theorem | Cryptography And Network Security | Tutorials | Cryptography
 
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In this youtube channel we are going to teach you the basic concepts of Cryptography and Network Security. In this video we have discussed about how to solve Euler's Theorem. Visit Our Channel :- https://www.youtube.com/channel/UCxik... In this lecture we have taught about Euler's Theorem in Cryptography. Follow Smit Kadvani on :- Facebook :- https://www.facebook.com/smit.kadvani Instagram :- https://www.instagram.com/the_smit0507 Follow Dhruvan Tanna on :- Facebook :- https://www.facebook.com/dhruvan.tanna1 Instagram :- https://www.instagram.com/dhru1_tanna Follow Keyur Thakkar on :- Facebook :- https://www.facebook.com/keyur.thakka... Instagram :- https://www.instagram.com/keyur_1982 Snapchat :- keyur1610 Follow Ankit Soni on:- Instagram :- https://www.instagram.com/ankit_soni1511
Views: 29369 Quick Trixx
NETWORK SECURITY - DIFFIE HELLMAN KEY EXCHANGE ALGORITHM
 
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This Algorithm is used to exchange the secret /symmetric key between sender and receiver. This exchange of key can be done with the help of public key and private key step 1 Assume prime number p step 2 Select a such that a is primitive root of p and a less than p step 3 Assume XA private key of user A step 4 Calculate YA public key of user A with the help of formula step 5 Assume XB private key of user B step 6 Calculate YB public key of user B with the help of formula step 7 Generate K secret Key using YB and XA with the help of formula at Sender side. step 8 Generate K secret Key using YA and XB with the help of formula at Receiver side.
Public Key Cryptography - Computerphile
 
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Spies used to meet in the park to exchange code words, now things have moved on - Robert Miles explains the principle of Public/Private Key Cryptography note1: Yes, it should have been 'Obi Wan' not 'Obi One' :) note2: The string of 'garbage' text in the two examples should have been different to illustrate more clearly that there are two different systems in use. http://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: http://bit.ly/nottscomputer Computerphile is a sister project to Brady Haran's Numberphile. See the full list of Brady's video projects at: http://bit.ly/bradychannels
Views: 428185 Computerphile
Encryption RSA
 
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Creating an app capable of generating values of public and private keys as well as encrypting and decrypting ciphertext messages based on two prime number inputs using the foundational principles of asymmetric key RSA encryption. Special thanks to Khan Academy for several reference points throughout the video!!! 3:26: N is NOT part of the private key. 5:11: On powerpoint: 9, 6, and 3 all share factors with 9; 8, 7, 5, 4, 2, and 1 don't share factors with 9 that are greater than 1. 10:00: Video gets a little spotty here, so in case you can't hear, she's saying "It's easy to compute D given the value of Phi N, however . . ." By: Sofia Flynn
Views: 1546 Sofia Flynn
Cyclic Groups  (Abstract Algebra)
 
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Cyclic groups are the building blocks of abelian groups. There are finite and infinite cyclic groups. In this video we will define cyclic groups, give a list of all cyclic groups, talk about the name “cyclic,” and see why they are so essential in abstract algebra. If​ ​you​’d​ ​like​ ​to​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ ​us​ on ​Patreon​ at https://www.patreon.com/socratica We​ ​also​ ​welcome​ ​Bitcoin​ ​donations!​ ​​ ​Our​ ​Bitcoin​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison
Views: 140897 Socratica
The Real World Uses of Imaginary Numbers
 
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Join Facebook Group: https://www.facebook.com/groups/majorprep/ Follow MajorPrep on Twitter: https://twitter.com/MajorPrep1 This video covers how imaginary numbers are used to solve real worlds problems in math, science, and engineering as well as a derivation of the most beautiful equation in math. The main topics include signals, controls, quantum mechanics, electromagnetism, and circuits but imaginary numbers do have more applications. #complexNumbers #mostbeautifulequation ►My Setup: Space Pictures: https://amzn.to/2CC4Kqj Camera: https://amzn.to/2RivYu5 Mic: https://amzn.to/2BLBkEj Tripod: https://amzn.to/2RgMTNL Equilibrium Tube: https://amzn.to/2SowDrh ►Support the Channel Patreon: https://patreon.com/majorprep PayPal(one time donation): https://www.paypal.me/majorprep ►Check out the MajorPrep Amazon Store: https://www.amazon.com/shop/majorprep *************************************************** ► For more information on math, science, and engineering majors, check us out at https://majorprep.com Best Ways to Contact Me: Facebook, twitter, or email ([email protected])
Views: 105616 MajorPrep
Primality Testing - Miller-Rabin
 
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Using the Miller-Rabin (probabilistic) primality test. NOTE: if bo (and only bo) had been either +1 OR -1, n would be prime (it was 263, in this example). BUT for b1, b2, and so on, +1 implies composite, -1 implies prime. Questions? Feel free to post them in the comments and I'll do my best to answer!
Views: 41020 Theoretically
Co Prime, Twin Prime and Prime Triplets
 
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Learn to identify Co Prime Numbers, Twin Prime Numbers and Prime Triplets.
Views: 72018 MathsSmart
Math Puzzles and Unsolved Problems: Prime Numbers and Factorization
 
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Factorization is an endless source of puzzles. If you see a number like 7668, it can be surprisingly fun to search for its prime factors. I present a couple of puzzles related to factorization, before focusing in upon prime numbers. I describe the famous 'Goldbach conjecture' and 'twin prime conjecture', which are some of the most infamous problems in number theory. I also describe how the ancients used the sieve of Eratosthenes to compute primes, and discuss my favorite upon problem regarding the primes. Is there a formula which can be used quickly to find the next.prime ? Or is there same shroud of pseudo randomness or computational irreducibly which will always safeguard the mysterious of the primes.
Views: 2499 Richard Southwell
Prime Factorization - Fermat Algorithm
 
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Description and example of getting the prime factors of a number using the Fermat algorithm. Questions? Feel free to post them in the comments and I'll do my best to answer!
Views: 10019 Theoretically
Ever wonder how Bitcoin (and other cryptocurrencies) actually work?
 
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Bitcoin explained from the viewpoint of inventing your own cryptocurrency. Videos like these made possible by patreon: https://patreon.com/3blue1brown Protocol Labs: https://protocol.ai/ Interested in contributing? https://protocol.ai/join/ Special thanks to the following patrons: http://3b1b.co/btc-thanks Some people have asked if this channel accepts contributions in cryptocurrency form as an alternative to Patreon. As you might guess, the answer is yes :). Here are the relevant addresses: ETH: 0x88Fd7a2e9e0E616a5610B8BE5d5090DC6Bd55c25 BTC: 1DV4dhXEVhGELmDnRppADyMcyZgGHnCNJ BCH: qrr82t07zzq5uqgek422s8wwf953jj25c53lqctlnw LTC: LNPY2HEWv8igGckwKrYPbh9yD28XH3sm32 Supplement video: https://youtu.be/S9JGmA5_unY Music by Vincent Rubinetti: https://soundcloud.com/vincerubinetti/heartbeat Here are a few other resources I'd recommend: Original Bitcoin paper: https://bitcoin.org/bitcoin.pdf Block explorer: https://blockexplorer.com/ Blog post by Michael Nielsen: https://goo.gl/BW1RV3 (This is particularly good for understanding the details of what transactions look like, which is something this video did not cover) Video by CuriousInventor: https://youtu.be/Lx9zgZCMqXE Video by Anders Brownworth: https://youtu.be/_160oMzblY8 Ethereum white paper: https://goo.gl/XXZddT If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people. Music by Vince Rubinetti: https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: http://3b1b.co/recommended Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3Blue1Brown Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown Reddit: https://www.reddit.com/r/3Blue1Brown
Views: 2470952 3Blue1Brown
Elliptic Curve Cryptography Tutorial - An Introduction to Elliptic Curve Cryptography
 
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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 introduce the mathematical structure behind this new algorithm. Watch this video to learn: - What Elliptic Curve Cryptography is - The advantages of Elliptic Curve Cryptography vs. old algorithms - An example of Elliptic Curve Cryptography
Views: 11355 Fullstack Academy
Properties of Numbers PPT
 
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Recorded with http://screencast-o-matic.com
Views: 147 Elizabeth Vincent
Public Key Encryption Examples - The advantages of Public Key Encryption
 
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Learn more advanced front-end and full-stack development at: https://www.fullstackacademy.com Public Key Encryption is a cryptographic system that uses pairs of keys: public keys which may be known widely, and private keys known only to the message's recipient. In a public key encryption system, the public key is used to encrypt messages and only the corresponding private key can be used to decrypt them. In this video, we discuss the advantages of this system by giving public key encryption examples. Watch this video to learn: - The basics of cryptography - Common problems in symmetric key encryption - How public key encryption solves some of those problems
Views: 415 Fullstack Academy
Bitcoin Proof of Keys Event & HitBTC/Trading Bitcoin Update
 
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WolfPack Cryptos [Educational channel NOT investment advice, consult your financial advisor] Crypto Currencies are highly volatile assets WPC highly recommends you consult your financial advisor and do your own research. All gains and losses are due to your own decision making and WolfPackCryptos LLC is geared towards creating an educational community in the realm of investing within the CryptoCurrency market and cannot guarantee any profits or losses. You should never risk any money you cannot afford to lose this is a new market full of scams and start-up ventures hence high-risk assets with a high failure rate. Trader from WolfPack Cryptos Investment Strategies talks about trading Bitcoin Altcoins and what the future holds for the crypto market. Our affordable Private membership includes Trading Signals, Altcoin fundamentals research and ICO analysis. Instagram: mastermind_group Laszlo's Twitter: @MMG_invest Come check out WolfPack Cryptos Website, Telegram, Twitter and DTube: For Private Members area please visit our Website and email us or contact Admin in the Free Telegram room. WPC Website: https://www.wolfpackcryptos.io/ WPC Free Telegram Group: https://t.me/wolfpackcryptos WPC Free News Room + Market Updates: https://t.me/WolfPackCryptosNews WPC Twitter: https://twitter.com/WolfPackCryptos WPC DTube: https://d.tube/#!/c/wolfpackcryptos WPC MoonRekt Crypto Comedy chat room: https://t.me/MoonRekt NordVPN Service, 2 years of service for the low price of only $95.75 in total, or $3.99 per month. This deal gives users an exclusive 66% discount., surf the web anonymously and securely. VPN are easy to use and available for your smartphone as well, protect your data and shield yourself from Hackers. Link: https://go.nordvpn.net/aff_c?offer_id=15&aff_id=14644&url_id=902 Protect yourself from AI and algorithms and mass data collection on everything you do, have you ever noticed when you shop online prices sometimes change for the same products you are searching for "prices always go higher" this is because algo's can determine how much you are willing to pay rather than find the cheapest bargain. Most of the time they put on the screen the prices you are willing to pay or paid advertisement assuring you do not even see cheaper prices from all competitors, a good example is Amazon it always populates your feed first when searching google because they buy prime real estate on the web. Using VPN when shopping can help mask who you are and help you find the cheapest prices. VPN discount Link: https://go.nordvpn.net/aff_c?offer_id=15&aff_id=14644&url_id=902 Being based in Panama, NordVPN falls under the country’s jurisdiction and Panama has no data retention laws; A strict no logs policy . We want to ensure user privacy and security, therefore we never log useractivitvity Military-grade AES-256-CBC encryption and a variety of protocols to choose from: OpenVPN (UDP and TCP), PPTP, L2TP/IPSec, IKEv2/IPSec; Risk-free 30-day money-back guarantee Unlimited bandwidth and data; 2832 servers located in 59 countries (the server number is always growing); Fast speed servers that are also reliable and consistent; Multiple ways to contact 24/7 customer support (live chat, email, ticket system); A CyberSec feature that blocks dangerous websites and lets users avoid annoying An automatic kill switch (can kill individual processes or kill whole internet connection); 6 simultaneous connectionsP2P friendly;Works in countries (China, the Middle East countries) where internet access is restricted, and strong censorship is in place; Double encryptionto ensure top level privacy and security For crypto trading and buying Altcoins check out the Binance exchange, one of the most used with the largest amounts of volume: https://www.binance.com/?ref=26075300 TradingView best FREE charting software and discounts for PRO members with access to all indicators and charting tools: https://tradingview.go2cloud.org/aff_c?offer_id=2&aff_id=11798 For extra security get a burner phone number to use everywhere when signing up to Telegram and social media: https://www.burnerapp.com/ For Organic meat at affordable prices delivered to your home [PROMO FREE Lifetime Beef] visit http://fbuy.me/j5SSD for $120 you can receive whole months worth of organic free range grass fed poultry. A healthy diet is essential for healthy brain function, to look good, feel good and to avoid cancer and hormonal imbalances. (only available in the US)
Views: 761 WolfPack Cryptos
Smart Cards  / Smart Cards  Securit
 
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TO USE OR PRINT this presentation click : http://videosliders.com/r/1372 ============================================================== Smart Cards Security & Applications ,Outline What is a smart card ? History & Contemporary Usage of Smart Cards. Types of Smart Cards Advantages Smart Card & System Components Biometrics Security Applications ,What is a Smart Card ? A plastic card which contains CPU, ROM, RAM, E2PROM It has I/O and processing capability. Of 6-8 contacts, 6 connected to the chip. These are Vcc, Vpp, Ground, Clock, Reset, Serial I/O. ,History Speculations about the first Smart card. 1968 - The idea of using plastic cards as the carrier for microchips was developed by Jergen Dethloff. 1970 - The first smart cards were introduced in Japan. 1974 - First patent by Roland Morena. 1979 - Motorola produced a smart card with a chip. 1984 - Microchips on Visa debit cards in France. 1990 - Philips offer 512 bit RSA signature in 1.5 sec. 1993 - France mandated microchips on all bank cards. ,History (cont’d) 1995 - Korea issues 1.5 million contactless smart cards for public transportation. 1996 - At the Atlanta Olympics, athletes, team members, and staffs were issued with contactless smart cards containing their identification number, biometrics, etc. 1996 - SGS Thompson offers RSA in 60 ms. 1997 - MS plans smart card login support for Win 98/NT 5.0. ,Current Trends and Issues Europe currently accounts for around 80% of the smart card market, with 16% in Asia, 3% in North America. Several Asian countries have large smart card projects. Even in North America around 5 million cards were issued in 1996. 500 million cards in 1996, 2.5 billion in 2000. Telephone cards is currently the largest application. ,Current Trends and Issues (cont’d) Millions of Unit/Year ,Manufacturers Motorola - MSC0402 ROM 23K E2PROM 8K RAM 384 Bytes RNG Hitachi- H8/300 ROM 16K E2PROM 8K RAM 512 Bytes 2 I/O ports Others Japan : NEC, Toshiba, Oki. US : Texas Instruments, Atmel, Catalyst SGS-Thompson (France), Philips (Netherlands), Siemens (Germany). ,Not every Smart Card is Intelligent ! Memory Cards contain a memory with a fixed logic that enables to read from and write to this memory. Cards, that use microcomputer ICs, are more commonly known as Smart Cards or Chip Cards. Chip Cards are active devices. ,Types of Smart Cards Contact Cards must be inserted into a reader Contactless Cards powered by an RF signal using inductive coils. Combi Cards can be powered by insertion or RF. ,Advantages Cannot be easily duplicated, Tamper proof due to hardware technology, Has processing power, Incorporate cryptographic techniques, Provide interactive authentication, Flexible storage for biometrics, identification, Organized information, ,Advantages (cont’d) Fraud reduction, High memory capacity, Paperless transactions, Convenience. ,Problems Possible usage/registration fees, Lack of internationally accepted standards, Liability issues if card is lost/stolen/misused, Downloading control, System designers are not well informed about how to make use of the cryptographic products, Inter-process protection in multi-application cards. Contact/contactless cards. ,Problems (cont’d) The difficulty of single terminal accepting all cards due to many card issuers and schemes. Because of patents it is difficult to enter smart card market especially for chip and card manufacturers. Multi-functionality issues. ,Inside the Smart Cards BUS CPU MEMORY CLOCK PROTECTION RESET I/O ,Smart Card Components Carrier - PVC, PETP. Chip Low-powerCMOS technology, operating at voltages between 2.2V and 5.5V: chips operating down to 1.5V and below are being designed. 1 micron is now common, 0.2 micron is aimed Microprocessor 8 bit, Motorola 6805, Intel 8051 based. Clock speed up to 5 MHz. 16 bit processors are used in some newer chips. ,Smart Card Components (cont’d) Microprocessors (cont.) RISC microcontrollers are available for smart cards Coprocessors Multiprecision arithmetic operations (multiplication and exponentiation). DES enc
Views: 2929 slide show me
Elementary Probability by Shmoop
 
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It's time for the annual Dynamite and Explosives Conference. Learn about elementary probability with the Max Goboom. Max decided to rig all of the tables that are prime numbers with explosives. Solve the example problem to figure out the probability of a random guest sitting at a booby-trapped table. We have a feeling you're going to do a dynamite job. Take a look at our probability guide: http://www.shmoop.com/basic-statistics-probability/
Views: 1123 Shmoop
Digital Design Karnaugh Maps Example – Prime Numbers between 0 and 31
 
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This is a lecture on Digital Design, specifically an Introduction to Karnaugh Maps including an example that shows the equation of a system that finds the prime numbers between 0 and 31. Lecture by James M. Conrad at the University of North Carolina at Charlotte. The PowerPoint slides are in support of the book “Digital Design with RTL Design, VHDL, and Verilog” by Frank Vahid. See http://webpages.uncc.edu/~jmconrad/EducationalMaterials/index.html for more information on the Digital Design Course.
Views: 1195 stiquitojmconrad
Historical Talk on Lattice-Based Cryptography
 
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Daniele Micciancio, UC San Diego The Mathematics of Modern Cryptography http://simons.berkeley.edu/talks/daniele-micciancio-2015-07-06
Views: 1962 Simons Institute
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: 290168 Randell Heyman
Introduction to Cryptography
 
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Introduction to Cryptography, includes Modular Arithmetic and Numerical Representation tutorial
Views: 1079 Daniel Rees
Miller Rabin Python
 
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Miller Rabin Python
Farey Sequence {Theory Of Numbers} | Applications and results
 
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Farey Sequence. Farey Sequence in number theory. Farey Sequence examples. Farey Sequence problems. Farey series. Farey Sequence explained. #FareySequence #NumberTheory #mathematicsAnalysis Like share subscribe Music credit - lakley inspired Thanks for watching....
Turing Complete - Computerphile
 
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What does it mean for something to be Turing Complete? Professor Brailsford explains. Turing Machine Primer: https://youtu.be/DILF8usqp7M Turing Machines Explained: https://youtu.be/dNRDvLACg5Q Chomsky Hierarchy: https://youtu.be/224plb3bCog What on Earth is Recursion?: https://youtu.be/Mv9NEXX1VHc http://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: http://bit.ly/nottscomputer Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com
Views: 131149 Computerphile
Security using color and Armstrong Number in JAVA
 
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Its a student level project developed in JAVA, the core concept of this project is, data security plays an important role where confidentiality, authentication, integrity, non repudiation are given importance. The universal technique for providing confidentiality of transmitted data is cryptography. This paper provides a technique to encrypt the data using a key involving Armstrong numbers and colors as the password. Three set of keys are used to provide secure data transmission with the colors acting as vital security element thereby providing authentication.
REALIST NEWS - Sub Prime Auto Loans - 6 million past due
 
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http://www.jmbullion.com/?utm_source=realist-news&utm_medium=display&utm_campaign=Realist-News (Recommended for Silver and Gold Purchases.) http://www.realistnews.net
Views: 7641 jsnip4
Quantum Cryptography Explained
 
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This episode is brought to you by Squarespace: http://www.squarespace.com/physicsgirl With recent high-profile security decryption cases, encryption is more important than ever. Much of your browser usage and your smartphone data is encrypted. But what does that process actually entail? And when computers get smarter and faster due to advances in quantum physics, how will encryption keep up? http://physicsgirl.org/ ‪http://twitter.com/thephysicsgirl ‪http://facebook.com/thephysicsgirl ‪http://instagram.com/thephysicsgirl http://physicsgirl.org/ Help us translate our videos! http://www.youtube.com/timedtext_cs_panel?c=UC7DdEm33SyaTDtWYGO2CwdA&tab=2 Creator/Editor: Dianna Cowern Writer: Sophia Chen Animator: Kyle Norby Special thanks to Nathan Lysne Source: http://gva.noekeon.org/QCandSKD/QCand... http://physicsworld.com/cws/article/n... https://epic.org/crypto/export_contro... http://fas.org/irp/offdocs/eo_crypt_9... Music: APM and YouTube
Views: 272510 Physics Girl
RSA Algorithm and public key encryption | rivest shamir adleman algorithm
 
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This video lecture is produced by S. Saurabh. He is B.Tech from IIT and MS from USA. RSA Algorithm and public key encryption | rivest shamir adleman algorithm To study interview questions on Linked List watch http://www.youtube.com/playlist?list=PL3D11462114F778D7&feature=view_all To prepare for programming Interview Questions on Binary Trees http://www.youtube.com/playlist?list=PLC3855D81E15BC990&feature=view_all To study programming Interview questions on Stack, Queues, Arrays visit http://www.youtube.com/playlist?list=PL65BCEDD6788C3F27&feature=view_all To watch all Programming Interview Questions visit http://www.youtube.com/playlist?list=PLD629C50E1A85BF84&feature=view_all To learn about Pointers in C visit http://www.youtube.com/playlist?list=PLC68607ACFA43C084&feature=view_all To learn C programming from IITian S.Saurabh visit http://www.youtube.com/playlist?list=PL3C47C530C457BACD&feature=view_all
Views: 5032 saurabhschool
How Mathematicians Think About Patterns - Professor Ian Stewart
 
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There are many kinds of pattern in mathematics and many ways to think about them. But when it comes to visual patterns, one viewpoint stands out; symmetry. This talk explores some basic ideas about symmetry, and shows how it helps us to understand patterns in nature - such as the markings on animals and fish, how animals move, the shapes of sand dunes, and the six-sided snowflake. This the second in a series of three lectures on Patterns. The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/how-mathematicians-think-about-patterns Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently nearly 1,500 lectures free to access or download from the website. Website: http://www.gresham.ac.uk Twitter: http://twitter.com/GreshamCollege Facebook: http://www.facebook.com/pages/Gresham-College/14011689941
Views: 34102 Gresham College
Introduction to Cryptography
 
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Jon Andrews from Redport Information Assurance presents a quick screencast explaining the importance of basic cryptography and what to know about properly encrypting/decrypting information. In his other screencasts which will be provided by with a link, he explains more specific methods of encryption/decryption such as Symmetric Key and Public/Private Key.
TAXI CAB NUMBER - MATH PHILE
 
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This video contains information about : 1) Taxi Cab Number 2) 1729 3) Ramanujan 4) Hardy . Thanks for watching!!
Views: 825 The Phile