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: 53483
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: 169387
Computerphile

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: 17843
Mobilefish.com

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: 22271
Fullstack Academy

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: 22165
Eezytutorials

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: 30564
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
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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: 191333
Computerphile

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: 13208
nptelhrd

We are providing a Final year IEEE project solution & Implementation with in short time. If anyone need a Details Please Contact us Mail: [email protected]
Phone: 09842339884, 09688177392 Watch this also: https://www.youtube.com/channel/UCDv0caOoT8VJjnrb4WC22aw
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Views: 503
SD Pro Engineering Solutions Pvt Ltd

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: 105
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: 2209
David Urbanik

https://asecuritysite.com/encryption/

Views: 476
Bill Buchanan OBE

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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All links with "*" are affiliate links.
LiveOverflow / Security Flag GmbH is part of the Amazon Affiliate Partner Programm.
#CTF #Cryptography

Views: 30984
LiveOverflow

Danke an das CryptoMonday Team für die Aufnahme und auch an die Frankfurt School of Business für die Veranstaltung. Der kurze 25min Vortrag versucht in Deutsch einen groben Überblick der "Privacy Technology" im Bereich von Datenbanken und speziell Bitcoin zu geben. Beschrieben wird im Detail ein "zero knowledge protocol" und das Prinzip von "elliptic curve cryptography".
Weitere Grundlagen findet ihr bei Prof. C. Paar (youtube) oder auch in Englisch sehr aktuelle Veröffentlichungen von Prof. L. Schröder (IEEE)

Views: 52
Arno Pfefferling

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

Views: 31368
Riverninj4

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: 64258
Steven Gordon

NXP Semiconductors introduces A1006 Secure Authenticator, using ECC.

Views: 1157
Interface Chips

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

Views: 1308
Linda Frey

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: 6138
White Hat Cal Poly

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: 4340
Rust

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: 21952
CRI

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: 1325
Microsoft Research

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: 608
CheapSSLsecurity

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

Views: 916
William Stein

Sage (http://sagemath.org) is the most feature rich general purpose free open source software for computing with elliptic curves. In this talk, I'll describe what Sage can compute about elliptic curves and how it does some of these computation, then discuss what Sage currently can't compute but should be able to (e.g., because Magma can).

Views: 890
Microsoft Research

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: 421
Manuel Radovanovic

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: 123438
Computerphile

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: 200
Nikolaj-K

This Algorithm is used to exchange the secret /symmetric key between sender and receiver.
This exchange of key can be done with the help of public key and private key
step 1 Assume prime number p
step 2 Select a such that a is primitive root of p and a less than p
step 3 Assume XA private key of user A
step 4 Calculate YA public key of user A with the help of formula
step 5 Assume XB private key of user B
step 6 Calculate YB public key of user B with the help of formula
step 7 Generate K secret Key using YB and XA with the help of formula at Sender side.
step 8 Generate K secret Key using YA and XB with the help of formula at Receiver side.

Views: 65011
Sundeep Saradhi Kanthety

Workshop on Homological Mirror Symmetry: Emerging Developments and Applications
Topic: Moduli spaces of elliptic curves in toric varieties
Speaker: Dhruv Ranganathan
Affiliation: IAS
Date: March 16, 2017
For more video, visit http://video.ias.edu

Views: 569
Institute for Advanced Study

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: 539
Microsoft Research

See http://www-personal.umich.edu/~asnowden/teaching/2013/679/L02.html for notes.

Views: 7339
Andrew Snowden

Views: 2726
Internetwork Security

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: 2340
Linux Foundation Events

A high-level explanation of digital signature schemes, which are a fundamental building block in many cryptographic protocols.
More free lessons at: http://www.khanacademy.org/video?v=Aq3a-_O2NcI
Video by Zulfikar Ramzan. Zulfikar Ramzan is a world-leading expert in computer security and cryptography and is currently the Chief Scientist at Sourcefire. He received his Ph.D. in computer science from MIT.

Views: 141509
Khan Academy

Speaker:
Roland van Rijswijk-Deij, SURFnet
Over the past decade, we have seen the gradual rollout of DNSSEC across the name space, with adoption growing slowly but steadily. While DNSSEC was introduced to solve security problems in the DNS, it is not without its own problems. In particular, it suffers from two big problems: 1) Use of DNSSEC can lead to fragmentation of DNS responses, which impacts the availability of signed domains due to resolvers being unable to receive fragmented responses and 2) DNSSEC can be abused to create potent denial-of-service attacks based on amplification. Arguably, the choice of the RSA cryptosystem as default algorithm for DNSSEC is the root cause of these problems. RSA signatures need to be large to be cryptographically strong. Given that DNS responses can contain multiple signatures, this has a major impact on the size of these responses. Using elliptic curve cryptography, we can solve both problems with DNSSEC, because ECC offers much better cryptographic strength with far smaller keys and signatures. But using ECC will introduce one new problem: signature validation - the most commonly performed operation in DNSSEC - can be up to two orders of magnitude slower than with RSA. Thus, we run the risk of pushing workload to the edges of the network by introducing ECC in DNSSEC. This talk discusses solid research results that show 1) the benefits of using ECC in terms of solving open issues in DNSSEC, and 2) that the potential new problem of CPU use for signature validation on resolvers is not prohibitive, to such an extent that even if DNSSEC becomes universally deployed, the signature validations a resolver would need to perform can easily be handled on a single modern CPU core. Based on these results, we call for an overhaul of DNSSEC where operators move away from using RSA to using elliptic curve-based signature schemes.

Views: 370
TeamNANOG

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

Views: 1181
TAUVOD

SIGSEGV occurs at various locations.
NDEBUG disables BARF statements.
DO_MODULAR_ARITH performs modular arithmetic at intermediate steps.
This shows the four possible combinations of the two, and associated backtrace.
They are shown in the order of: {ndebug, no mod}, {ndebug, with mod}, {debug, no mod}, {debug, with mod}.

Views: 49
Pachakutiq Inka Yupanki

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: 438
BIS TV

Sentdex.com
Facebook.com/sentdex
Twitter.com/sentdex
How to use python to encrypt sensitive information, and later decrypt it, using PyCrypto!
PyCrypto: https://www.dlitz.net/software/pycrypto/
The Code: http://sentdex.com/sentiment-analysisbig-data-and-python-tutorials/encryption-and-decryption-in-python-code-example-with-explanation/

Views: 85809
sentdex

Views: 7639
Internetwork Security

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: 220126
Computerphile