The complete YouTube playlist can be viewed here: https://goo.gl/mjyDev
This lesson explains the concept of the Elliptic Curve Cryptography(ECC), under the course, "Cryptography and Network Security for GATE Computer Science Engineering".
The lesson explains the questions on the following subtopics:
Elliptic Curve Cryptography(ECC)
ECC - Public key cryptosystem
ECC - Key Exchange
ECC - Encryption and Decryption
Elliptic curve
Some important terminology and concepts are also illustrated, for the better understanding of the subject.
For the entire course: https://goo.gl/aTMBNZ
For more lessons by Ansha Pk: https://goo.gl/2DX9Wn
Must watch for all the GATE/ESE/PSU Exams.
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Elliptic Curve Cryptography(ECC) - GATE Computer Science - Unacademy

Views: 14650
Unacademy - GATE Preparation

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: 169568
F5 DevCentral

Today we're going over Elliptic Curve Cryptography, particularly as it pertains to the Diffie-Hellman protocol. The ECC Digital Signing Algorithm was also discussed in a separate video concerning Bitcoin's cryptography.

Views: 53371
CSBreakdown

This was for the MAO Math Presentation Competition. I won! :D

Views: 31270
Riverninj4

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: 11378
Fullstack Academy

Solutions to some typical exam questions. See my other videos
https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.

Views: 37828
Randell Heyman

In this tutorial, I demonstrate two different approaches to multiplying numbers in modular arithmetic.
Learn Math Tutorials Bookstore http://amzn.to/1HdY8vm
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Connect one-on-one with a Math Tutor. Click the link below:
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:)

Views: 33872
Learn Math Tutorials

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 30493
nptelhrd

Talk at the MathSoc at UCT in Cape Town, October 26, 2017.

Views: 1280
Linda Frey

Views: 3738
Internetwork Security

Cryptography and Network Security by Prof. D. Mukhopadhyay, Department of Computer Science and Engineering, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in

Views: 13184
nptelhrd

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: 21927
CRI

A talk given at the University of Waterloo on July 12th, 2016. The intended audience was mathematics students without necessarily any prior background in cryptography or elliptic curves.
Apologies for the poor audio quality. Use subtitles if you can't hear.

Views: 2200
David Urbanik

This was a lecture given by Manjul Bhargava in the Introductory Workshop on Arithmetic Statistics at MSRI.

Views: 1129
MathSciResInst

“Introduction to Elliptic Curves,” by Álvaro Lozano-Robledo. This is an overview of the theory of elliptic curves, discussing the Mordell-Weil theorem, how to compute the torsion subgroup of an elliptic curve, the 2-descent algorithm, and what is currently known about rank and torsion subgroups of elliptic curves.
This is a video from CTNT, the Connecticut Summer School in Number Theory that took place at UConn during August 8th - 14th, 2016, organized by Keith Conrad, Amanda Folsom, Alvaro Lozano-Robledo, and Liang Xiao. For more information, see
http://ctnt-summer.math.uconn.edu/

Views: 3161
UConn Mathematics

This is the first lecture of the 2014 Minerva Lecture series at the Princeton University Mathematics Department
October 14, 2014
An introduction to aspects of mathematical logic and the arithmetic of elliptic curves that make these branches of mathematics inspiring to each other. Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields. This feature (which I call 'diophantine stability') makes elliptic curves, in particular, useful as vehicles to establish diophantine unsolvability for many large rings. To repay the debt, mathematical logic offers consequences to the arithmetic of elliptic curves over decidable rings. I will also discuss new results about diophantine stability.

Views: 3732
princetonmathematics

Code: http://asecuritysite.com/encryption/baby

Views: 596
Bill Buchanan OBE

Math 706 Section 10.5
Elliptic Curves as Abelian Groups

Views: 272
Todd Cochrane

Asymptotics of elliptic curves I
Introductory Workshop: Arithmetic Statistics
January 31, 2011 - February 04, 2011
February 02, 2011 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Manjul Bhargava (Princeton University)
Location: MSRI: Simons Auditorium
http://www.msri.org/workshops/566

Views: 456
Graduate Mathematics

The Michigan Math Undergraduate Summer Seminar Lunch (MMUSSL) is a mini course series organized by, given by, and aimed at undergraduate math concentrators at the University of Michigan, with the goal of giving students a chance to share their knowledge of mathematics that interest them. All of the speakers are currently or recently graduated students at the University of Michigan.
Sorry for the poor video quality.
--------------------
Title: Elliptic Curves (1/1)
Speaker: Gwyn Moreland
Date: 6/11/14
Description: Elliptic curves arise in many problems in mathematics as a useful tool. This is much in part due to their structure and the multitude of theorems about them, especially their torsion groups. Not only that, they also generate some fun math on their own, such as the open problem of finding elliptic curves of arbitrarily high rank. The first talk will serve as an abridged introduction to elliptic curves. We will discuss their origin (parametrizations of integrands) and give a definition of an elliptic curve. We will also introduce some of the important theorems surrounding them (Nagell-Lutz, Mordell-Weil, Mazur) and then lastly look at some of their applications and where they appear in math today (BSD, cryptography).

Views: 913
Juliette Bruce

This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.

Views: 13821
Udacity

“Introduction to Elliptic Curves,” by Álvaro Lozano-Robledo. This is an overview of the theory of elliptic curves, discussing the Mordell-Weil theorem, how to compute the torsion subgroup of an elliptic curve, the 2-descent algorithm, and what is currently known about rank and torsion subgroups of elliptic curves.
This is a video from CTNT, the Connecticut Summer School in Number Theory that took place at UConn during August 8th - 14th, 2016, organized by Keith Conrad, Amanda Folsom, Alvaro Lozano-Robledo, and Liang Xiao. For more information, see
http://ctnt-summer.math.uconn.edu/

Views: 740
UConn Mathematics

Speaker: Alessandro Chiesa, ETH Zurich
'The First Greater Tel Aviv Area Symposium'
School of Computer Science
Tel-Aviv University,
13.11.14

Views: 1180
TAUVOD

In many ways, the modern revival of algebraic geometry resulted from investigations in complex function theory. In this video, we show how Weierstrass's p-function can be used to relate cubic curves and 2-tori. We see in particular that cubic curves have an abelian group structure.
The material in this video and the other in the playlist can be found in Kirwan's "Complex algebraic curves".

Views: 2237
DanielChanMaths

This was a lecture given by Manjul Bhargava in the Introductory Workshop on Arithmetic Statistics at MSRI.

Views: 233
MathSciResInst

Multiplication and addition tables for GF(2^3), concept of generator in GF and operations using generator.

Views: 5556
DrVikasThada

Here we talk about how the abelianization of the geometric algebraic fundmental group is really the Tate module.

Views: 497
Taylor Dupuy's Math Vlog

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: 928
Dr. Julian Hosp

Discrete Logarithm Problem - modular arithmetic

Views: 48684
Art of the Problem

The most impactful innovation in cryptography in the last half century is the notion of asymmetry: using different keys for encryption and decryption, and finding the mathematics that would make it difficult (so we assume) for our adversary to derive one key from the other. The essence of this game changing innovation is described in this video.

Views: 1309
Gideon Samid

Views: 3224
Internetwork Security

http://demonstrations.wolfram.com/InfiniteMagicEllipticCurves
The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily.
Can points representing integers be placed in the plane so that any triplet of integers summing to 0 lies on a straight line? It turns out the answer is yes. This Demonstration shows seven different ways to do it by placing the points on elliptic curves...
Contributed by: Ed Pegg Jr
Audio created with WolframTones:
http://tones.wolfram.com

Views: 109
wolframmathematica

Measuring the divisibility of a number
Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/rsa-encryption-part-4?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience
Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/modern-crypt/v/rsa-encryption-step-3?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: 131311
Khan Academy Labs

Examples solving congruences with discrete logarithms.

Views: 1647
Cathy Frey

Views: 6483
Internetwork Security

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: 51437
PBS Infinite Series

In this lecture series, you will be learning about cryptography basic concepts and examples related to it. Diffie hellman key exchange - Primitive root

Views: 575
Eezytutorials

Follow Bharat Gupta on Unacademy here: https://unacademy.com/user/Bharat_gupta?utm_source=Youtube_Main_SpecialClass&utm_medium=BharatGupta_21_09_18&utm_campaign=BharatGupta
For more Special Classes click here: https://unacademy.com/plus?utm_source=Youtube_Main_SpecialClass&utm_medium=Youtube_21_09_18&utm_campaign=YoutubeQRbjSC
Strategy to Crack Arithmetic with Practice Questions for CAT 2018:
In this course, Bharat Sir, (20 years teaching experience) will conduct a Revision course covering the most important topics of Strategy to Crack Arithmetic with Practice Questions and explain topics with his unique shortcut trick and option elimination approach. Target audience comprises of primarily CAT 2018 and other MBA Exams aspirants. The course will be conducted in English and the notes and practice sheet will also be provided in English.
You can go to the Plus tab on Unacademy app or website at 12 noon every day to register for special classes conducted by Top Educators of Unacademy.
Download the Unacademy Learning App here:
Android: https://goo.gl/02OhYI
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Download the Unacademy Educator App here:
Android: https://goo.gl/H4LGHE
iOS: https://goo.gl/1FkFHp
Do Subscribe and be a part of the community for more such lessons here: https://goo.gl/gycFVs

Views: 1445
Unacademy

Это видео создано с помощью видеоредактора YouTube (http://www.youtube.com/editor)

Views: 623
Mathematics at HSE

This goes over the basic invariants I'm going to need for Elliptic curves for Szpiro's Conjecture.

Views: 309
Taylor Dupuy's Math Vlog

This video shows you the method to look for the primitive roots which are useful in to be used in cryptosystem of Discrete Logarithm.

Views: 28529
Steven Wong

Let E be an elliptic curve, defined over the field of rational numbers, of conductor Np, where N is a positive integer and p is a prime which does not divide N. Let f be the weight 2 newform attached to E. We consider the Hida family passing through f. One can lift each classical form in the Hida family to a half-weight modular forms, by means of a generalized Kohnen-Shintani correspondence (Baruch-Mao). The resulting Fourier coefficients can be p-adically interpolated by rigid analytic functions defined over the weight space. Extending a previous work by Darmon-Tornaria, I will propose a relation between the coefficients of this formal series and certain global points on the elliptic curve E. This is a work in progress with Zhengyu Mao.
The lecture was held within the framework of the Junior Hausdorff Trimester
Program Algebraic Geometry. (4.2.2014)

Views: 1304
Hausdorff Center for Mathematics

This is the third lecture of the 2014 Minerva Lecture series at the Princeton University Mathematics Department.
October 17, 2014
An introduction to aspects of mathematical logic and the arithmetic of elliptic curves that make these branches of mathematics inspiring to each other. Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields. This feature (which I call 'diophantine stability') makes elliptic curves, in particular, useful as vehicles to establish diophantine unsolvability for many large rings. To repay the debt, mathematical logic offers consequences to the arithmetic of elliptic curves over decidable rings. I will also discuss new results about diophantine stability.

Views: 818
princetonmathematics