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: 55704
CSBreakdown

Just what are elliptic curves and why use a graph shape in cryptography? Dr Mike Pound explains.
Mike's myriad Diffie-Hellman videos: https://www.youtube.com/playlist?list=PLzH6n4zXuckpoaxDKOOV26yhgoY2S-xYg
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Views: 178416
Computerphile

In this lecture series, you will be learning about cryptography basic concepts and examples related to it. Elliptic Curve (ECC) with example (ECC) with example.

Views: 26825
Eezytutorials

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 build off of the Diffie-Hellman encryption scheme and show how we can change the Diffie-Hellman procedure with elliptic curve equations.
Watch this video to learn:
- The basics of Elliptic Curve Cryptography
- Why Elliptic Curve Cryptography is an important trend
- A comparison between Elliptic Curve Cryptography and the Diffie-Hellman Key Exchange

Views: 24609
Fullstack Academy

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: 31184
nptelhrd

This is part 11 of the Blockchain tutorial explaining how the generate a public private key using Elliptic Curve.
In this video series different topics will be explained which will help you to understand blockchain.
Bitcoin released as open source software in 2009 is a cryptocurrency invented by Satoshi Nakamoto (unidentified person or group of persons).
After the introduction of Bitcoin many Bitcoin alternatives were created. These alternate cryptocurrencies are called Altcoins (Litecoin, Dodgecoin etc).
Bitcoin's underlying technology is called Blockchain.
The Blockchain is a distributed decentralized incorruptible database (ledger) that records blocks of digital information. Each block contains a timestamp and a link to a previous block.
Soon people realises that there many other use cases where the Blockchain technology can be applied and not just as a cryptocurrency application.
New Blockchain platforms were created based on the Blockchain technology, one of which is called Ethereum.
Ethereum focuses on running programming code, called smart contracts, on any decentralized application.
Using the new Blockchain platforms, Blockchain technology can be used in supply chain management, healthcare, real estate, identity management, voting, internet of things, etcetera, just to name a few.
Today there is a growing interest in Blockchain not only in the financial sector but also in other sectors.
Explaining how Blockchain works is not easy and for many the Blockchain technology remains an elusive concept.
This video series tries to explain Blockchain to a large audience but from the bottom up.
Keywords often used in Blockchain conversation will be explained.
Each Blockchain video is short and to the point.
It is recommended to watch each video sequentially as I may refer to certain Blockchain topics explained earlier.
Check out all my other Blockchain tutorial videos
https://goo.gl/aMTFHU
Subscribe to my YouTube channel
https://goo.gl/61NFzK
The presentation used in this video tutorial can be found at:
http://www.mobilefish.com/developer/blockchain/blockchain_quickguide_tutorial.html
The presentation used in this video tutorial can be found at:
http://www.mobilefish.com/developer/blockchain/blockchain_quickguide_tutorial.html
The python script used in the video:
https://www.mobilefish.com/download/cryptocurrency/bitcoin_ec_key_generation.py.txt
Cryptocurrency address generator and validator:
https://www.mobilefish.com/services/cryptocurrency/cryptocurrency.html
Desmos graph:
https://www.desmos.com/calculator/kkj2efqk5x
James D'Angelo, Bitcoin 101 Elliptic Curve Cryptography Part 4:
https://youtu.be/iB3HcPgm_FI
#mobilefish #blockchain #bitcoin #cryptocurrency #ethereum

Views: 19160
Mobilefish.com

https://asecuritysite.com/encryption/ecc_points_add3

Views: 66
Bill Buchanan OBE

https://asecuritysite.com/encryption/

Views: 588
Bill Buchanan OBE

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

Views: 32767
Riverninj4

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: 22512
CRI

NXP Semiconductors introduces A1006 Secure Authenticator, using ECC.

Views: 1202
Interface Chips

Website + download source code @ http://www.zaneacademy.com | derive equations For point addition & point doubling @ https://youtu.be/ImEIf-9LQwg | Elliptic Curve Digital Signature Algorithm (ECDSA) - Public Key Cryptography w/ JAVA (tutorial 10) @ https://youtu.be/Kxt8bXFK6zg
00:05 demo prebuilt version of the application
01:05 find all points that satisfy elliptic curve equation
03:05 show cyclic behavior of a generator point in a small group
04:05 use double and add algorithm for fast point hopping
04:45 quick intro to elliptic curves
05:20 singular versus nonsingular elliptic curves
06:00 why use elliptic curve in cryptography
09:55 equations for elliptic curve point addition and doubling
12:02 what is a field
13:35 elliptic curve group operations
14:02 associativity proof for elliptic curve point addition
15:30 elliptic curve over prime fields
16:35 code the application
19:46 check if curve to be instantiated is singular
24:06 implement point addition and doubling
25:59 find all points that satisfy elliptic curve equation
28:00 check if 2 points are inverse of each other
29:15 explain elliptic curve order, subgroup size n, and cofactor h
32:53 implement double and add algorithm
35:09 test run the application
40:20 what does 'Points on elliptic curve + O have cyclic subgroups' mean
40:45 when do all points on an elliptic curve form a cyclic group

Views: 325
zaneacademy

These are the videos from NolaCon 2019:
http://www.irongeek.com/i.php?page=videos/nolacon2019/mainlist
Patreon:
https://www.patreon.com/irongeek

Views: 222
Adrian Crenshaw

* Slides: https://www.dropbox.com/s/lghiehvjmkvdava/ecdsa.pdf?dl=0
We are covering all of the material a developer needs to know to be able to build applications on the Bitcoin SV (BSV) blockchain, with or without Money Button. This documentation assumes the viewer is a developer who knows how to build an app, but who doesn't yet know much about Bitcoin SV.
* Money Button: https://www.moneybutton.com
* Documentation (and more videos): https://docs.moneybutton.com
* Blog: https://blog.moneybutton.com
* Telegram group for help: https://t.me/moneybuttonhelp
* ECDSA: https://docs.moneybutton.com/docs/bsv-ecdsa.html
* Mnemonics (BIP39): https://docs.moneybutton.com/docs/bsv-mnemonic.html
* Hierarchical Keys and Extended Private Keys and Extended Public Keys (BIP32): https://docs.moneybutton.com/docs/bsv-hd-private-key.html
* Private Keys: https://www.youtube.com/watch?v=XPWZ0Sih59o
* Public Keys: https://www.youtube.com/watch?v=wYpifoXE7H0
* Addresses: https://www.youtube.com/watch?v=a32dlV2xgIw

Views: 270
Money Button

We are going to recover a ECDSA private key from bad signatures. Same issue the Playstation 3 had that allowed it to be hacked.
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-=[ 📄 P.S. ]=-
All links with "*" are affiliate links.
LiveOverflow / Security Flag GmbH is part of the Amazon Affiliate Partner Programm.
#CTF #Cryptography

Views: 32921
LiveOverflow

This is the recording of Igor Semaev's presentation at 5th Current Trends in Cryptography conference that took place in Yaroslavl' (Russia) on 6-8 June 2016.
More information about the conference and various media (presentations, photo and video) can be found on http://ctcrypt.ru

Views: 450
BIS TV

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: 13618
nptelhrd

The back door that may not be a back door... The suspicion about Dual_EC_DRBG - The Dual Elliptic Curve Deterministic Random Bit Generator - with Dr Mike Pound.
EXTRA BITS: https://youtu.be/XEmoD06_mZ0
Nothing up my sleeve Numbers: https://youtu.be/oJWwaQm-Exs
Elliptic Curves: https://youtu.be/NF1pwjL9-DE
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Views: 206192
Computerphile

Nick Gonella, officer of White Hat, talks about Elliptic Curve Cryptography (ECC), a cutting edge encryption method that is taking the cryptography world by storm. Learn the machinery behind this new technology and how it's being used today.
Recommended read on ECC: https://blog.cloudflare.com/a-relatively-easy-to-understand-primer-on-elliptic-curve-cryptography/

Views: 6176
White Hat Cal Poly

Cryptography Basics for Embedded Developers - Eystein Stenberg, Mender Many vulnerabilities and breaches happen due to incorrect use of cryptographic mechanisms like encryption. This talk will cover the basic mechanisms of cryptography, like encryption, signatures, and key storage, looking at how these are used to create important security properties like authentication, confidentiality and integrity. Performance is particularly important for embedded development and we will cover which cryptographic operations are computationally expensive and why. We will highlight implementations of cryptographic mechanisms that help meet the performance needs of embedded devices, including Elliptic Curve Cryptography. We will wrap up with common pitfalls, libraries and tools relevant for secure use of cryptography for embedded devices.
Eystein Stenberg has over 7 years of experience in security and systems management as a developer, a support engineer, a technical account manager, and now as a product manager. He has been in the front line of some of the largest production environments in various roles and has in-depth knowledge of the challenges in systems security in a real-world context. His holds a Master’s degree in cryptography and his writing credits include “Distributing a Private Key Generator in Ad Hoc Networks."

Views: 2534
Linux Foundation Events

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

Views: 1665
Linda Frey

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: 1402
Microsoft Research

https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm
https://hackernoon.com/what-is-the-math-behind-elliptic-curve-cryptography-f61b25253da3
https://en.wikipedia.org/wiki/Elliptic_curve
https://en.bitcoin.it/wiki/Secp256k1
http://www.ijsrp.org/research-paper-1117/ijsrp-p7117.pdf
https://github.com/bitcoin/bitcoin/blob/452bb90c718da18a79bfad50ff9b7d1c8f1b4aa3/src/secp256k1/src/secp256k1.c#L188

Views: 233
Nikolaj-K

Fast, Safe, Pure-Rust Elliptic Curve Cryptography by Isis Lovecruft & Henry De Valence
This talk discusses the design and implementation of curve25519-dalek, a pure-Rust implementation of operations on the elliptic curve known as Curve25519. We will discuss the goals of the library and give a brief overview of the implementation strategy. We will also discuss features of the Rust language that allow us to achieve competitive performance without sacrificing safety or readability, and future features that could allow us to achieve more safety and more performance. Finally, we will discuss how -dalek makes it easy to implement complex cryptographic primitives, such as zero-knowledge proofs.

Views: 4485
Rust

Learn more free at my blog http://www.manuelradovanovic.com
If you have any question please feel free to ask.
Subscribe me on YouTube, please! Thank You!

Views: 502
Manuel Radovanovic

https://cloud.sagemath.com/projects/4d0f1d1d-7b70-4fc7-88a4-3b4a54f77b18/files/lectures/2016-05-27/

Views: 952
William Stein

How do we exchange a secret key in the clear? Spoiler: We don't - Dr Mike Pound shows us exactly what happens.
Mathematics bit: https://youtu.be/Yjrfm_oRO0w
Computing Limit: https://youtu.be/jv2H9fp9dT8
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Views: 243466
Computerphile

White Hat CTF Master Nick Gonella gives a high-level mathematical look at Quantum Cryptography. Nick starts with the idea of using Asymmetric Encryption to solve the codebook problem of Symmetric Encryption. Nick also dives into Quantum concepts like superposition of states, duality, and the issues that RSA presents when confronted with Shor's algorithm and techniques from Number Theory. Watch Nick's talk to see how the mathematics surrounding this topic surpasses the computational capabilities of current computers.
What is Elliptic Curve Cryptography? See Nick's talk on ECC: https://www.youtube.com/watch?v=FyrNkMDL120

Views: 753
White Hat Cal Poly

I will demonstrate techniques to derive the addition law on an arbitrary elliptic curve. The derived addition laws are applied to provide methods for efficiently adding points. The contributions immediately find applications in cryptology such as the efficiency improvements for elliptic curve scalar multiplication and cryptographic pairing computations. In particular, contributions are made to case of the following five forms of elliptic curves: (a) Short Weierstrass form, y^2 = x^3 + ax + b, (b) Extended Jacobi quartic form, y^2 = dx^4 + 2ax^2 + 1, (c) Twisted Hessian form, ax^3 + y^3 + 1 = dxy, (d) Twisted Edwards form, ax^2 + y^2 = 1 + dx^2y^2, (e) Twisted Jacobi intersection form, bs^2 + c^2 = 1, as^2 + d^2 = 1. These forms are the most promising candidates for efficient computations and thus considered in this talk. Nevertheless, the employed methods are capable of handling arbitrary elliptic curves.

Views: 580
Microsoft Research

Elliptic curve cryptography is the hottest topic in public key cryptography world. For example, bitcoin and blockchain is mainly based on elliptic curves. We can also do encryption / decryption, key exchange and digital signatures with elliptic curves.
This video covers the proofs of addition laws for both point addition and doubling for Koblitz Curves introduced by Neal Koblitz. This curves mostly used in binary field studies.
This is the preview video of Elliptic Curve Cryptography Masterclass online course. You can find the course content here: https://www.udemy.com/elliptic-curve-cryptography-masterclass/?couponCode=ECCMC-BLOG-201801
Documentation: https://sefiks.com/2016/03/13/the-math-behind-elliptic-curves-over-binary-field/

Views: 187
Sefik Ilkin Serengil

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: 2391
David Urbanik

Diffie Hellman has a flaw. Dr Mike Pound explains how a man in the middle could be a big problem, unless we factor it in...
Public Key Cryptography: https://youtu.be/GSIDS_lvRv4
Elliptic Curve Cryptography: Coming Soon!
https://www.facebook.com/computerphile
https://twitter.com/computer_phile
This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: https://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Views: 130454
Computerphile

Symantec’s quick tutorial, know how to generate Certificate Signing Request (CSR) using the Elliptical Cryptography Curve (ECC) encryption algorithm on the Microsoft Windows Server 2008.
ECC encryption is only available for Symantec Secure Site Pro & Secure Site Pro EV SSL Certificate.
For more information on ECC SSL encryption visit here - http://www.symantec.com/connect/blogs/introducing-algorithm-agility-ecc-and-dsa

Views: 620
CheapSSLsecurity

One-hour overview discussing basic principles behind cryptographic signatures

Views: 392
Bitcoin Edge

Elliptic curve cryptography is the hottest topic in public key cryptography world. For example, bitcoin and blockchain is mainly based on elliptic curves. We can also do encryption / decryption, key exchange and digital signatures with elliptic curves.
This video covers the proofs of addition laws for both point addition and doubling for elliptic curves in weierstrass form. This type curves mostly used in prime field studies.
This is the preview video of Elliptic Curve Cryptography Masterclass online course. You can find the course content here: https://www.udemy.com/elliptic-curve-cryptography-masterclass/?couponCode=ECCMC-BLOG-201801
Documentation: https://sefiks.com/2016/03/13/the-math-behind-elliptic-curve-cryptography/

Views: 198
Sefik Ilkin Serengil

Petya Elliptic Curve Diffie-Hellman key exchange.
Now you can enjoy the elliptic curve encryption experience with a smooth elevator bossa nova!
More information about Petya: https://labsblog.f-secure.com/2016/04...
Online ECDH form: http://www-cs-students.stanford.edu/~...

Views: 1601
Jarkko Turkulainen F-Secure

Demonstration of using OpenSSL to create RSA public/private key pair, sign and encrypt messages using those keys and then decrypt and verify the received messages. Commands used: openssl. Created by Steven Gordon on 7 March 2012 at Sirindhorn International Institute of Technology, Thammasat University, Thailand.

Views: 66799
Steven Gordon

--------------------
Learn how to install an Elliptical Cryptography Curve (ECC) encryption algorithm SSL certificate on a Microsoft Windows 2008 server with Symantec's Video Tutorials.
For further support and troubleshooting, please visit our support pages at ..
https://www.symantec.com/help
--------------------

Views: 356
Symantec Website Security

www.youtube.com/c/sundeepsaradhi

Views: 45458
Sundeep Saradhi Kanthety