This tutorial explains Fast Modular Exponentiation in a fast and easy way. If you don't have time to do the algorithm, check this link that will compute the exponentiation: http://comnuan.com/cmnn02/cmnn02008/ If you have any questions, please ask in the comments section Thanks for watching
Views: 11767 Sams Tutorials
This video gives a motivation for the need of Fast Modular Exponentiation in the RSA.
Views: 2499 Leandro Junes
How to deal with really big exponents using the three main methods: Modular Exponentiation, Fermat's Little Theorem, and Euler's Theorem. Also explains which method to pick. Table of contents: Which to pick? - 0:47 Fermat's Example - 1:39 Modular Exponentiation Example - 4:43 Euler's Example - 10:13
Views: 35260 Theoretically
In this lecture series, you will be learning about cryptography basic concepts and examples related to it. Fast modular exponential algorithm with example.
Views: 632 Eezytutorials
In this video, I discuss the various ways of computing modular exponentiations and provide detailed examples for each of them. The methods that I covered include brute force, factoring, iterative / memory efficient, successive squaring, and fast modular exponentiation.
Views: 11160 Mark's Education Tutorials
This video shows another example of the Square-and-Multiply algorithm. The pseudo-code of this algorithm is also given with a few suggestions on how to implemented in the Java language.
Views: 1144 Leandro Junes
This is a really useful function that I thought needed to be explained. When dealing with security methods, like RSA or the Diffie-Hellman, or finding primes using the Fermat's Little Theorem, you quickly find that you have to compute massive numbers that don't seem possible. But they can be computed insanely fast and exactly using recursion.
Views: 5192 kupala
This technique of raising a number to a large exponent is often used in competitive programming. We talk about how we can move from the brute force approach of O(N) to O(log(N)) using divide and conquer. Code: https://github.com/gkcs/ChainReaction/blob/master/src/main/java/main/java/videos/FastExponentiation.java References: https://en.wikipedia.org/wiki/Exponentiation_by_squaring#Basic_method https://discuss.codechef.com/questions/20451/a-tutorial-on-fast-modulo-multiplication-exponential-squaring
Views: 13955 Gaurav Sen
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: 218416 Maths with Jay
Discrete Maths for Computer Science PLAYLIST: https://tinyurl.com/DiscMathsCompScience Unit 4: Number Theory and Cryptography Part 3: Building Blocks for Cryptography Section 3: Modular Exponentiation Lesson 1 - Fast Modular Exponentiation NOTES: https://tinyurl.com/DiscMathsCompScienceNotes
Views: 51 Bob Trenwith
This video describes one method for fast exponentiation using the binary representation of the exponent. This method is called "Square-and-Multiply."
Views: 1790 Leandro Junes
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: 93200 Aptitude for dummies
Please Fill the form - https://docs.google.com/forms/d/1kOxvqvz1IvBMHJ3UeLecLDuK7ePKjHAvHaRcxduHKEE/edit ====================================================== Answer of your Questions Asked to me. (direct Link given below) Blogger Link - http://shalik-htd.blogspot.com/ ====================================================== Hey, friends, I upload the videos in this channel in Hindi for Engineering student of UPTU and other universities for computer science and IT (information technology) students. like share and subscribe my channel ====================================================== Install C Programming Solution Android app - https://play.google.com/store/apps/details?id=com.shalik.patel.cprogrammingsolution ====================================================== ====================================================== My Career Planning android app - https://play.google.com/store/apps/details?id=guide.mycareer.com.rec.mycareer ====================================================== ====================================================== My Android App for my College Library (An Official App Of College Library) - https://play.google.com/store/apps/details?id=jrv.library.rec.reclibrary ====================================================== How to use android application - https://www.youtube.com/watch?v=1hMZCvl-JxM ====================================================== Contact me on Facebook - https://www.facebook.com/HTD-hub-250593705388294/?ref=br_rs ====================================================== Follow me on twitter - https://twitter.com/PatelShalik ======================================================
Views: 4661 hindi tutorials darshan
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 1078 Udacity
We compare in this video the "speed" of the square-and-multiply algorithm and the right-to-left binary exponentiation.
Views: 1267 Leandro Junes
Continued coverage of number theory for public key cryptography: Euler's totient function, Fermat's theorem, Euler's theorem, discrete logarithms, primitive roots. Course material via: http://sandilands.info/sgordon/teaching
Views: 33745 Steven Gordon
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: 157440 Learn Math Tutorials
Almost, every novice programmer has come across the problem of modular exponentiation which is a basic number theory topic. Therefore, this video is for all those novices and all who want to learn what is modular exponentiation and how we can do it in an efficient way.
Views: 486 Adarsh Trivedi
This video describes how to obtain the binary representation of a BigInteger in Java, its length, and the ith position of this binary representation
Views: 529 Leandro Junes
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 992 Udacity
This video describes the number of operations in the square-and-multiply algorithm as well as the method modPow in the Java Language.
Views: 429 Leandro Junes
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 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: 33980 Learn Math Tutorials
Intuition behind the algorithm, examples and explanation of efficiency. Link to the code files used in the video (google document): https://goo.gl/BGNFsy Video about an application of exponentiation by squaring: https://www.youtube.com/watch?v=-BbfrK4eV0k
Views: 5851 Scott Swingle
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: 5313 MIT OpenCourseWare
The video clearly illustrates the method of repeated squaring using the modular exponentiation algorithm used to solve modular exponentiation problems. www.modular-arithmetic.appspot.com www.samuelchukwuemeka.com
Views: 4564 Samuel Chukwuemeka
The "BigInteger" data structure in Java is discussed in this video in order to implement the Square and Multiply algorithm. The operations of "remainder" and "multiply" are explained
Views: 734 Leandro Junes
This tutorial shows how to find the inverse of a number when dealing with a modulus. When dealing with modular arithmetic, numbers can only be represented as integers ranging from 0 to ( the modulus minus 1 ). This tutorial shows one method that can be used when solving for an inverse of modular arithmetic. 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: 221576 Learn Math Tutorials
Book: Understanding Cryptography https://www.amazon.com/Understanding-Cryptography-Textbook-Students-Practitioners/dp/3642041000/ref=as_li_ss_tl?ie=UTF8&qid=1541146284&sr=8-1&keywords=Understanding+Cryptography:+A+Textbook+for+Students+and+Practitioners&linkCode=sl1&tag=julianhosp-20&linkId=8e14aad9056003d3eefcacb57c2e0b73&language=en_US ---------- New to cryptocurrencies? You might want to read this book first! http://cryptofit.community/cryptobook If you liked the video, subscribe to my channel, give a "thumbs up" and share this video to make the world together #cryptofit :) ► Subscribe: https://www.youtube.com/channel/UCseN... ► Cryptocurrency Exchange: https://www.binance.com/?ref=11272739 ► Hardware Wallet: http://www.julianhosp.com/hardwallet ► Ruben's Trinkgeld Adressen: Bitcoin: 3MNWaot64Fr1gRGxv4YzHCKAcoYTLXKxbc Litecoin: MTaGwg5EhKooonoVjDktroiLqQF6Rvn8uE --------------- ► Completely NEW? What is Blockchain, Bitcoin and Co? Get this book from me: https://www.amazon.com/Cryptocurrenci... ► Join our Facebook group: https://www.facebook.com/groups/crypt... ► iTunes Podcast: https://itunes.apple.com/sg/podcast/t... ► My website: http://www.julianhosp.com ---------------- My name is Dr. Julian Hosp or just Julian. My videos are about Bitcoin, Ethereum, Blockchain and crypto currencies in general, to avoid scam, rip-off and fraud especially in mining. I'm talking about how you can invest wisely and do it rationally and simply. My ultimate goal is to make people all around the world #CRYPTOFIT. I.E fit for this new wave of decentralization and blockchain. Have fun! ► Follow me here and stay in touch: Facebook: www.facebook.com/julianhosp/ Twitter: https://twitter.com/julianhosp Instagram: https://www.instagram.com/julianhosp/ Linkedin: https://www.linkedin.com/julianhosp
Views: 949 Dr. Julian Hosp
Modular arithmetic especially the properties of congruence are an important tool in arriving at quick solutions to a variety of problems. In this video Mayank unravels this concept of Congruence starting with the basic concepts and then explaining the 5 key properties of Congruence (≡): a+c ≡ (b+d)mod N (Remainder of Sums ≡ Sum of Remainders) a-c ≡ (b-d)mod N (Remainder of Difference ≡ Difference of Remainders) ac ≡ (bd)mod N (Remainder of Products ≡ Products of Remainders) a^e ≡ b^e mod N (Remainder of Exponent ≡ Exponent of Remainders) a/e ≡ b/e (mod N/gcd(N,e)) (However, don’t do division without writing basic equation Mayank applies these concepts to arrive at quick solutions for 7 representative problems - reducing seemingly impossible math involving large numbers to mere seconds. Some example problems from the video: Find the remainder 6^(6^(6^6 ) )/7 Find the last digit of (17)^16 There are 44 boxes of chocolates with 113 chocolates in each box. If you sell the chocolates by dozens, how many will be leftover? More Motivations – Reducing Big Number @0:08 Why Bother? – Shortcuts to Several Problems @1:10 Face of a Clock @2:05 Face of a Clock Replace 12 with 0 – Module 12 @4:38 What Happens with 7 Days? @6:20 Running the Clock Backwards @8:37 Addition and Subtraction of Congruence’s @10:54 Application of Addition – Example-1 @14:30 Multiplication in Congruence’s @18:46 Application of Multiplication – Example -2/3 @22:15 Exponentiation in Congruence’s @26:08 Application of Exponentiation Example -4/5 @27:58 Division of Congruence’s: Never Divide, Think from Basics @33:37 Combining Congruence’s @38:43 Example – 6 @40:36 Concept of Multiplicative Inverse @48:33 Summary @49:30 Next – Faster Solutions to Exponent Problems @51:05 #Inverse #Exponentiation #Dozens #Subtraction #Happen #Congruence #Arithmetic #Reducing #Motivations #Delayed #Mayank #Examrace
Views: 51559 Examrace
In this video, I explain how to convert a negative integer to a congruent integer within a given modulo. 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: 41307 Learn Math Tutorials
Congruence, Modular Arithmetic, 3 ways to interpret a ≡ b (mod n), Number theory, discrete math, how to solve congruence, blackpenredpen, math for fun, https://blackpenredpen.com/bprplive, https://twitter.com/blackpenredpen, [email protected]
Views: 74090 blackpenredpen
The video clearly explains another method for computing modular exponentiation problems. www.modular-arithmetic.appspot.com www.chukwuemeka-samuel.appspot.com
Views: 416 Samuel Chukwuemeka
Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Like us on Facebook: http://on.fb.me/1vWwDRc We introduce modular arithmetic, the function that outputs remainders and separates them into equivalence classes. Hello, welcome to TheTrevTutor. I'm here to help you learn your college courses in an easy, efficient manner. If you like what you see, feel free to subscribe and follow me for updates. If you have any questions, leave them below. I try to answer as many questions as possible. If something isn't quite clear or needs more explanation, I can easily make additional videos to satisfy your need for knowledge and understanding.
Views: 91429 TheTrevTutor