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Search results “Modular exponentiation example in cryptography”
Using the repeated squaring algorithm to calculate 2^300 mod 50.
Views: 87708 GVSUmath
Three typical test or exam questions. I use three different methods. Also known as modular powers or modular high powers. See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
Views: 24943 Randell Heyman
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.
Shows how to do a modular exponentiation, sometimes called a power mod. For instance, 3^100 mod 7 is a power mod.
Views: 123927 Tim Farage
Views: 125 Gary Rubinstein
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
Examples for modular expoentiation
Views: 1515 Natarajan Meghanathan
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
An example of encrypting a short message using modular exponentiation.
Views: 485 David Metzler
A two-part video about calculating exponents mod a prime modulus, using Little Fermat as well as basic rules of exponents, and looking for patterns as well.
Views: 244 David Metzler
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
Subject:Computer Science Paper: Cryptography and network
Views: 204 Vidya-mitra
This video is part of the Udacity course "Intro to Information Security". Watch the full course at https://www.udacity.com/course/ud459
Views: 683 Udacity
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
How to find the remainders of large numbers
Views: 14443 Jordan Horowitz
Views: 451 Jake K
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
An example of modular exponentiation is presented.
Views: 137 M Ephrem
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
Views: 949 Dr. Julian Hosp
https://asecuritysite.com/encryption/sqm
Views: 583 Bill Buchanan OBE
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
Modular Exponentiation
Views: 3001 Natarajan Meghanathan