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.

Views: 11160
Mark's Education Tutorials

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

Please Fill the form - https://docs.google.com/forms/d/1kOxvqvz1IvBMHJ3UeLecLDuK7ePKjHAvHaRcxduHKEE/edit
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Views: 4661
hindi tutorials darshan

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

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

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
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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 :)
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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:
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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
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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

An example of encrypting a short message using modular arithmetic and then using modular multiplication, done for my number theory course.

Views: 474
David Metzler