Search results “Finite fields in elliptic curve cryptography example”

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

Views: 33025
Randell Heyman

Much of the research in number theory, like mathematics as a whole, has been inspired by hard problems which are easy to state. A famous example is 'Fermat's Last Theorem'. Starting in the 1970's number theoretic problems have been suggested as the basis for cryptosystems, such as RSA and Diffie-Hellman. In 1985 Koblitz and Miller independently suggested that the discrete logarithm problem on elliptic curves might be more secure than the 'conventional' discrete logarithm on multiplicative groups of finite fields. Since then it has inspired a great deal of research in number theory and geometry in an attempt to understand its security. I'll give a brief historical tour concerning the elliptic curve discrete logarithm problem, and the closely connected Weil Pairing algorithm.

Views: 1087
Microsoft Research

Mapping smooth elliptic curve in simple Weierstrass form over a prime finite field and then discarding all but rational points. You can find the accompanying article at https://trustica.cz/en/2018/03/01/elliptic-curves-over-finite-fields/

Views: 761
Trustica

For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com

Views: 104838
Introduction to Cryptography by Christof Paar

This is lecture 1 of a mini-course on "Elliptic curves over finite fields", taught by Erik Wallace, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/

Views: 207
UConn Mathematics

Views: 2616
Internetwork Security

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

Views: 2419
DrVikasThada

Views: 1081
Harpreet Bedi

Dan Boneh, Stanford University
Historical Papers in Cryptography Seminar Series
http://simons.berkeley.edu/crypto2015/historical-papers-seminar-series/Dan-Boneh-2015-07-13

Views: 10064
Simons Institute

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.
Download the Unacademy Learning App from the Google Play Store here:- https://goo.gl/02OhYI
Download the Unacademy Educator app from the Google Play Store here: https://goo.gl/H4LGHE
Do Subscribe and be a part of the community for more such lessons here: https://goo.gl/UGFo7b
Visit Our Facebook Group on GATE here: https://goo.gl/cPj5sb
Elliptic Curve Cryptography(ECC) - GATE Computer Science - Unacademy

Views: 3529
Unacademy - GATE Preparation

This is episode one of the Math Behind Bitcoin. In an effort to understand the math behind bitcoin, I try to explain it to you guys. If there are any mistakes or suggestions, please put it in the comment section below. Thanks!
Resources
- https://www.coindesk.com/math-behind-bitcoin/
- https://eng.paxos.com/blockchain-101-foundational-math
- Mastering Bitcoin by Andreas Antonopoulos
- https://www.cryptocoinsnews.com/explaining-the-math-behind-bitcoin/
- https://en.wikipedia.org/wiki/Finite_field

Views: 997
Kevin Su

Advance Cyber Security

Views: 1576
Israel Reyes

A talk about the basics of Elliptic Curve Cryptography (ECC), its use and application today, strengths and weaknesses.

Views: 21901
mrdoctorprofessorsir

Breakthrough Junior Challange | Elliptic Curve Cryptography. #breakthroughjuniorchallange

Views: 2893
Oliver Pelly

Explanation of the underlying math is in the accompanying article https://trustica.cz/2018/04/12/elliptic-curves-multiplication-by-scalar
Although the stereographic projection of the projective plane is mostly useful for explaining the point at infinity, it can actually be used for depicting any operation over real numbers in the projective plane.
This video shows the scalar multiplication of chosen point on an elliptic curve in simple Weierstrass form both using euclidean grid and stereographic projection onto a sphere.

Views: 397
Trustica

Views: 1544
Jeff Suzuki

For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com

Views: 26625
Introduction to Cryptography by Christof Paar

For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com
(Don't worry, I start in German but at minute 2:00 I am switiching to English for the remainder of the lecture :)

Views: 46274
Introduction to Cryptography by Christof Paar

Visualization of point addition on elliptic curve in simple Weierstrass form over real numbers and finite field. The underlying math is explained in next article of our elliptic curves' series: https://trustica.cz/en/2018/03/15/elliptic-curves-point-addition/

Views: 236
Trustica

Elliptic Curve Cryptography (ECC) is hot. Far better scalable than traditional encryption, more and more data and networks are being protected using ECC. Not many people know the gory details of ECC though, which given its increasing prevalence is a very bad thing. In this presentation I will turn all members of the audience into ECC experts who will be able to implement the relevant algorithms and also audit existing implementations to find weaknesses or backdoors. Actually, I won't. To fully understand ECC to a point where you could use it in practice, you would need to spend years inside university lecture rooms to study number theory, geometry and software engineering. And then you can probably still be fooled by a backdoored implementation. What I will do, however, is explain the basics of ECC. I'll skip over the gory maths (it will help if you can add up, but that's about the extent of it) and explain how this funny thing referred to as "point addition on curves" can be used to exchange a secret code between two entities over a public connection. I will also explain how the infamous backdoor in Dual_EC_DRGB (a random number generator that uses the same kind of maths) worked. At the end of the presentation, you'll still not be able to find such backdoors yourselves and you probably realise you never will. But you will be able to understand articles about ECC a little better. And, hopefully, you will be convinced it is important that we educate more people to become ECC-experts.

Views: 20344
Security BSides London

Views: 2488
Internetwork Security

Scalar multiplication of points on elliptic curves over finite fields explained in article https://trustica.cz/2018/04/19/elliptic-curves-scalar-multiplication2/ is shown in this video.
Subscribe to our channel and follow us on Twitter: https://twitter.com/trusticacz

Views: 128
Trustica

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: 12160
nptelhrd

In this video I primarily do through the Elliptic Curve ElGamal crytposystem (Bob's variables/computations, Alice's variables/computations, what is sent, and how it is decrypted by Bob). In addition, I go over the basics of elliptic curves such as their advantages and how they are written.
Digital Signatures - ElGamal: https://www.youtube.com/watch?v=Jo3wHnIH4y832,rpd=4,rpg=7,rpgr=0,rpm=t,rpr=d,rps=7
Reference:
Trappe, W., & Washington, L. (2006). Introduction to cryptography: With coding theory (2nd ed.). Upper Saddle River, N.J.: Pearson Prentice Hall.

Views: 8855
Theoretically

#breakthroughjuniorchallenge2017

Views: 166
Miles05 Tullo04

Elliptic Curves: https://asecuritysite.com/comms/plot05
Key gen: https://asecuritysite.com/encryption/ecc
EC Types: https://asecuritysite.com/encryption/ecdh3

Views: 537
Bill Buchanan OBE

Views: 1847
Jeff Suzuki

Elliptic curve cryptography
Elliptic curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.ECC requires smaller keys compared to non-ECC cryptography (based on plain Galois fields) to provide equivalent security.
-Video is targeted to blind users
Attribution:
Article text available under CC-BY-SA
image source in video
https://www.youtube.com/watch?v=UTJ2jxuyL7g

Views: 436
WikiAudio

Views: 1035
Jeff Suzuki

A short video I put together that describes the basics of the Elliptic Curve Diffie-Hellman protocol for key exchanges.

Views: 105797
Robert Pierce

Elliptic curve cryptography is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields. One of the main benefits in comparison with non-ECC cryptography is the same level of security provided by keys of smaller size.
Elliptic curves are applicable for encryption, digital signatures, pseudo-random generators and other tasks. They are also used in several integer factorization algorithms that have applications in cryptography, such as Lenstra elliptic curve factorization.
This video is targeted to blind users.
Attribution:
Article text available under CC-BY-SA
Creative Commons image source in video

Views: 2609
Audiopedia

This shows how mechanical computers can be assembled to guide the joints of a two link serial chain to draw an elliptic cubic curve. This is an example of Kempe's universality theorem and is the work of Yang Liu.

Views: 800
mechanicaldesign101

Views: 992
Jeff Suzuki

In this youtube channel "gate hack" we are going to teach you the basic concepts of Cryptography and Network Security.
In this lecture we are teaching about Ring and Field.

Views: 2964
Quick Trixx

Vídeo original: https://youtu.be/iB3HcPgm_FI
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/blackboard1...
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/1JryT...
Here's the private key we use at the end:
42F615A574E9CEB29E1D5BD0FDE55553775A6AF0663D569D0A2E45902E4339DB
Public Address on Blockchain.info
https://blockchain.info/address/16iTd...
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: 5551
Fabio Carpi

Jimmy Song explains the basics of cryptography that serves as a foundation for Bitcoin transactions. This course provides in-depth coverage of Elliptic Curve Digital Signature Algorithm (ECDSA), how ECDSA functions and how it is used to provide signing and verification of Bitcoin transactions. After covering the basics, Jimmy dives into and explains Bitcoin transaction data structure, including Bitcoin scripting opcodes - how these transactions are formed and interpreted by Bitcoin nodes.
This session contains multiple sections at following timestamps:
Finite Fields - https://youtu.be/e6voIwB-An4?t=4m50s
Elliptic Curves - https://youtu.be/e6voIwB-An4?t=21m11s
Elliptic Curves over Finite Fields - https://youtu.be/e6voIwB-An4?t=32m32s
Mathematical Group - https://youtu.be/e6voIwB-An4?t=37m59s
Bitcoin Addresses - https://youtu.be/e6voIwB-An4?t=50m08s
ECDSA - https://youtu.be/e6voIwB-An4?t=57m42s
Bitcoin Transactions - https://youtu.be/e6voIwB-An4?t=1h10m14s
Bitcoin Scripts - https://youtu.be/e6voIwB-An4?t=1h17m27s
Transaction Validation - https://youtu.be/e6voIwB-An4?t=1h25m
Pay to Script Hash - https://youtu.be/e6voIwB-An4?t=1h29m27s
To complete tasks in this course, you will need to setup the appropriate python environment as follows:
Install python3, virtualenv, git
$ git clone http://github.com/bitcoinedge/devplusplus
$ cd devplusplus
$ virtualenv -p python3 .venv
$ . .venv/bin/activate
$ pip install -r requirements.txt
$ jupyter notebook
Your browser should open up a jupyter notebook
For additional information, please visit http://bitcoinedge.org

Views: 2298
Bitcoin Edge

Views: 593
Harpreet Bedi

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