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Elliptic Curve Cryptography Overview
 
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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: 133265 F5 DevCentral
Elliptic Curves - Computerphile
 
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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: 136222 Computerphile
Elliptic Curve (ECC) with example - Cryptography lecture series
 
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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: 8210 Eezytutorials
A Look Into Elliptic Curve Cryptography (ECC)
 
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A talk about the basics of Elliptic Curve Cryptography (ECC), its use and application today, strengths and weaknesses.
Views: 21063 mrdoctorprofessorsir
Elliptic Curve Cryptography Tutorial - An Introduction to Elliptic Curve Cryptography
 
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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: 7122 Fullstack Academy
Elliptic Curve Cryptography Tutorial - Understanding ECC through the Diffie-Hellman Key Exchange
 
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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: 13149 Fullstack Academy
An Introduction to Elliptic Curve Cryptography
 
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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: 28290 nptelhrd
Elliptic Curve Cryptography(ECC) - GATE Computer Science
 
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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
The Beauty of Elliptic Curves
 
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Talk at the MathSoc at UCT in Cape Town, October 26, 2017.
Views: 573 Linda Frey
Blockchain tutorial 11: Elliptic Curve key pair generation
 
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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: 13917 Mobilefish.com
Elliptic Curve Point Addition
 
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This was for the MAO Math Presentation Competition. I won! :D
Views: 27917 Riverninj4
Elliptic Curve Arithmetic and Bitcoin | Nathan Dalaklis
 
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Bitcoin is a cryptocurrency that uses elliptic curves in the ECDSA. Since cryptosystems often require some form of arithmetic to encode and decode information we have a couple questions to ask; What are elliptic curves? And how can we do arithmetic on an elliptic curve? ________ Standards for Efficent Cryptography Group: http://www.secg.org Elliptic Curve Addition Modulo p Applet: https://cdn.rawgit.com/andreacorbellini/ecc/920b29a/interactive/modk-add.html ________ Last video: http://bit.ly/2Ms3VCr The CHALKboard: http://www.youtube.com/c/CHALKboard Find the CHALKboard on Facebook: http://bit.ly/CHALKboard _____________________ Interested in the person behind the camera? See what Nathan's up to on these platforms! Instagram: http://bit.ly/INSTAnatedlock Twitter: http://bit.ly/TWITTnatedlock _____________________ ---------------------------------- #CHALK #Bitcoin #EllipticCurves _____________________ ----------------------------------
Views: 56 CHALK
Implementation of Elliptic Curve Cryptography
 
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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: 11704 nptelhrd
Bitcoin 101 - Elliptic Curve Cryptography - Part 4 - Generating the Public Key (in Python)
 
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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: 20294 CRI
ECC
 
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ECC
Subject:Computer Science Paper: Cryptography and network
Views: 1475 Vidya-mitra
Elliptic Curve Cryptography
 
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Adding two rational points will create a third rational point
Views: 33600 Israel Reyes
Elliptic Curve Cryptography Authentication by NXP Semiconductors
 
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NXP Semiconductors introduces A1006 Secure Authenticator, using ECC.
Views: 1027 Interface Chips
Elliptic curves
 
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Explore the history of counting points on elliptic curves, from ancient Greece to present day. Inaugural lecture of Professor Toby Gee. For more information please visit http://bit.ly/1r3Lu8c
Elliptic Curve Back Door - Computerphile
 
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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: 141521 Computerphile
Elliptic curve cryptography
 
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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: 2458 Audiopedia
Pairings on Elliptic Curves - Parameter Selection and Efficient Computation
 
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This talk is about efficient pairing computation on elliptic curves. I will discuss particularly implementation-friendly curves, the use of the polynomial parameter representation to compute pairings on BN curves, and reasons to use affine coordinates for pairings at high security levels. This contains joint work with P. Barreto, G. Pereira, M. Simplício Jr, P. Schwabe, R. Niederhagen, K. Lauter, and P. Montgomery.
Views: 559 Microsoft Research
Scalable Zero Knowledge via Cycles of Elliptic Curves
 
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Speaker: Alessandro Chiesa, ETH Zurich 'The First Greater Tel Aviv Area Symposium' School of Computer Science Tel-Aviv University, 13.11.14
Views: 1036 TAUVOD
Elliptic Curves, Group Law, and Efficient Computation
 
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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: 422 Microsoft Research
Elliptic Curve Cryptography, A very brief and superficial introduction
 
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by Ron Garret Bay Area Lisp and Scheme Meetup http://balisp.org/ Sat 30 Apr 2016 Hacker Dojo Mountain View, CA Abstract This will be a beginner’s introduction to elliptic curve cryptography using Lisp as a pedagogical tool. Cryptography generally relies heavily on modular arithmetic. Lisp’s ability to change the language syntax and define generic functions provides opportunities to implement modular arithmetic operations much more cleanly than other languages. Video notes The audio for the introduction and for the questions from the audience is hard to hear. I will try to improve on that in the next batch of talks. — Arthur
Views: 2919 Arthur Gleckler
Elliptic Curve Cryptography (EEC) -- Nick Gonella
 
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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: 5506 White Hat Cal Poly
Elliptic Curve and Quantum Cryptography - CompTIA Security+ SY0-401: 6.1
 
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Security+ Training Course Index: http://professormesser.link/sy0401 Professor Messer’s Course Notes: http://professormesser.link/sy0401cn Frequently Asked Questions: http://professormesser.link/faq - - - - - The creation and use of cryptography has also included new ways to keep our data private. In this video, you’ll learn about the use of elliptic curves to create encryption keys and how quantum cryptography can be used for spy-proof secure channels. - - - - - Download entire video course: http://professormesser.link/401adyt Get the course on MP3 audio: http://professormesser.link/401vdyt Subscribe to get the latest videos: http://professormesser.link/yt Calendar of live events: http://www.professormesser.com/calendar/ FOLLOW PROFESSOR MESSER: Professor Messer official website: http://www.professormesser.com/ Twitter: http://www.professormesser.com/twitter Facebook: http://www.professormesser.com/facebook Instagram: http://www.professormesser.com/instagram Google +: http://www.professormesser.com/googleplus
Views: 22504 Professor Messer
Elliptic Curves, Cryptography and Computation
 
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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: 986 Microsoft Research
CTCrypt 2016 – Igor Semaev – Decomposition Attacks on the Elliptic Curve Discrete Logarithm Problem
 
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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: 341 BIS TV
Elliptic Curves in Sage
 
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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: 665 Microsoft Research
C# 6.0 Tutorial - Advanced - 62. How to Implement ECDsaCng Cryptography Implementation
 
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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: 236 Manuel Radovanovic
2016 05 27 elliptic curve crypto
 
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https://cloud.sagemath.com/projects/4d0f1d1d-7b70-4fc7-88a4-3b4a54f77b18/files/lectures/2016-05-27/
Views: 790 William Stein
Bitcoin - Digital Signatures
 
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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: 137679 Khan Academy
RustConf 2017 - Fast, Safe, Pure-Rust Elliptic Curve Cryptography
 
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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: 3818 Rust
Vorlesung 17: Einführung in die Elliptische-Kurven-Kryptografie (ECC) von Christof Paar
 
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Für Folien, Aufgaben und weiteres Lernmaterial zur Kryptographie besuchen Sie http://www.crypto-textbook.de/
Elliptic Curves,  Math 706, Section 10.1
 
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Math 706, Section 10.1 Introduction to Elliptic Curves
Views: 1574 Todd Cochrane
Introduction to the Post-Quantum Supersingular Isogeny Diffie-Hellman Protocol
 
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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: 1729 David Urbanik
Key Exchange Problems - Computerphile
 
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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: 101771 Computerphile
Why Elliptic Curve Cryptography is powerful?
 
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This is the preview video of Udemy Online Course "Elliptic Curve Cryptography Masterclass from scratch" Bitcoin uses a specific elliptic curve to sign messages. In this lecture, we'll mention why elliptic curve cryptography is powerful. Power of elliptic curve cryptography is based on Elliptic Curve Discrete Logarithm Problem (ECDLP) Course: https://www.udemy.com/elliptic-curve-cryptography-masterclass/?couponCode=ECCMC-BLOG-201801 Code repository: https://github.com/serengil/crypto
Math 679 / Lecture 2: Elliptic curves
 
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See http://www-personal.umich.edu/~asnowden/teaching/2013/679/L02.html for notes.
Views: 6892 Andrew Snowden
Generate a CSR with an ECC Encryption Algorithm on Microsoft Windows Server 2008
 
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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: 557 CheapSSLsecurity
3rd BIU Winter School on Cryptography: Applications of Elliptic Curves to Cryptography - Nigel Smart
 
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The 3rd Bar-Ilan Winter School on Cryptography: Bilinear Pairings in Cryptography, which was held between February 4th - 7th, 2013. The event's program: http://crypto.biu.ac.il/winterschool2013/schedule2013.pdf For All 2013 Winter school Lectures: http://www.youtube.com/playlist?list=PLXF_IJaFk-9C4p3b2tK7H9a9axOm3EtjA&feature=mh_lolz Dept. of Computer Science: http://www.cs.biu.ac.il/ Bar-Ilan University: http://www1.biu.ac.il/indexE.php
Views: 1347 barilanuniversity