Search results “Elliptical curve cryptography implementation definition”

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: 11697
nptelhrd

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: 132906
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: 46260
CSBreakdown

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

Views: 100093
Robert Pierce

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: 2913
Arthur Gleckler

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: 28265
nptelhrd

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

Views: 25727
Introduction to Cryptography by Christof Paar

Adding two rational points will create a third rational point

Views: 33593
Israel Reyes

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: 9787
nptelhrd

Views: 2155
Internetwork Security

This video is an explanation following the paper Dual EC: A Standardized Backdoor by Daniel J. Bernstein, Tanja Lange and Ruben Niederhagen
I have a blog here: www.cryptologie.net
And you should follow me on twitter here: https://twitter.com/lyon01_david

Views: 4449
David Wong

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: 20277
CRI

Views: 2291
Internetwork Security

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: 8438
Theoretically

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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Twitter: https://twitter.com/LiveOverflow
Website: http://liveoverflow.com/
Subreddit: https://www.reddit.com/r/LiveOverflow/

Views: 21934
LiveOverflow

Views: 2067
@Scale

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: 2453
Audiopedia

NXP Semiconductors introduces A1006 Secure Authenticator, using ECC.

Views: 1026
Interface Chips

End to end encryption, government ministers are again talking about stopping it. What is it and why might that be a bad idea? Dr Mike Pound explains.
Hololens: https://youtu.be/gp8UiYOw8Fc
Blockchain: https://youtu.be/qcuc3rgwZAE
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This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: http://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. More at http://www.bradyharan.com

Views: 225230
Computerphile

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

Views: 2722
Udacity

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.
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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: 888
Juliette Bruce

Used SAGE and Ubigraph. This is a group isomorphic to Z/26 + Z/26 of points on Elliptic Curve defined by y^2 = x^3 + 673*x over Finite Field of size 677
Ubigraph's layout can't seem to sort out a perfect torus in this diagram, but the group structure says that's what it should be. There are 676 points total, including two small torsion E[r], r=13 suitable for Weil pairing which hopefully will be in a future video.

Views: 7571
Andrew L

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
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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: 150923
Computerphile

An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1-Tori and Elliptic Curves by Dr. T.E. Venkata Balaji, Department of Mathematics, IIT Madras. For more details on NPTEL visit http://www.nptel.iitm.ac.in/syllabus/111106044/
Goals of Lecture 42:
* To complete the proof of the fact that a suitable region in the upper half-plane, described in the previous lecture and shown there to be a fundamental region for the unimodular group, is also a fundamental region for the elliptic modular j-invariant function
* In view of the above, we complete the proof of the theorem on the Moduli of Elliptic Curves: the natural Riemann surface structure, on the set of holomorphic isomorphism classes of complex 1-dimensional tori (complex algebraic elliptic curves) identified with the set of orbits of the unimodular group in the upper half-plane, is holomorphically isomorphic via the j-invariant to the complex plane
Keywords for Lecture 42:
Upper half-plane, quotient by the unimodular group, orbits of the unimodular group, representative of an orbit, invariants for complex tori, complex torus associated to a lattice (or) grid in the plane, doubly-periodic meromorphic function (or) elliptic function associated to a lattice, Weierstrass phe-function associated to a lattice, ordinary differential equation satisfied by the Weierstrass phe-function, automorphic function (or) automorphic form, weight two modular function (or) weight two modular form, full modular function (or) full modular form, period two modular form, congruence-mod-2 normal subgroup of the unimodular group, projective special linear group with mod-2 coefficients, finite group, kernel of a group homomorphism, zeros of the derivative of the Weierstrass phe-function, pole of order two (or) double pole with residue zero, universal cover, neighborhood of infinity, lower half-plane, rational function, kernel of a group homomorphism, functional equations satisfied by the weight two modular form, j-invariant of a complex torus (or) j-invariant of an algebraic elliptic curve, Fundamental theorem of Algebra, complex field is algebraically closed, fundamental region for the full modular form, fundamental region for the unimodular group, ramified (or) branched covering, group-invariant holomorphic maps, fundamental region for a group-invariant holomorphic map, fundamental parallelogram associated to a lattice in the plane, Galois theory, Galois group, Galois extension of function fields of meromorphic functions on Riemann surfaces, symmetric group, Galois covering

Views: 1866
nptelhrd

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: 1345
barilanuniversity

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: 661
Microsoft Research

MIT 6.046J Design and Analysis of Algorithms, Spring 2015
View the complete course: http://ocw.mit.edu/6-046JS15
Instructor: Srinivas Devadas
In this lecture, Professor Devadas covers the basics of cryptography, including desirable properties of cryptographic functions, and their applications to security.
License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Views: 61663
MIT OpenCourseWare

https://asecuritysite.com/encryption/pal_ex

Views: 1221
Bill Buchanan OBE

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: 1723
David Urbanik

Views: 562
Harpreet Bedi

A beginner's guide to Stream Ciphers (Encryption/Decryption).

Views: 48435
Daniel Rees

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

Views: 100972
Introduction to Cryptography by Christof Paar

This episode is brought to you by Squarespace: http://www.squarespace.com/physicsgirl
With recent high-profile security decryption cases, encryption is more important than ever. Much of your browser usage and your smartphone data is encrypted. But what does that process actually entail? And when computers get smarter and faster due to advances in quantum physics, how will encryption keep up?
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Help us translate our videos! http://www.youtube.com/timedtext_cs_panel?c=UC7DdEm33SyaTDtWYGO2CwdA&tab=2
Creator/Editor: Dianna Cowern
Writer: Sophia Chen
Animator: Kyle Norby
Special thanks to Nathan Lysne
Source:
http://gva.noekeon.org/QCandSKD/QCand...
http://physicsworld.com/cws/article/n...
https://epic.org/crypto/export_contro...
http://fas.org/irp/offdocs/eo_crypt_9...
Music: APM and YouTube

Views: 257709
Physics Girl

Views: 4151
Internetwork Security

Quantum Cryptography explained simply. Regular encryption is breakable, but not quantum cryptography. Today we'll look at the simplest case of quantum cryptography, quantum key distribution. It uses the Heisenberg Uncertainty Principle to prevent eavesdroppers from cracking the code.
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The Code Book - Simon Singh
*MUSIC*
Prelude No. 14 by Chris Zabriskie is licensed under a Creative Commons Attribution license (https://creativecommons.org/licenses/by/4.0/)
Source: http://chriszabriskie.com/preludes/
Artist: http://chriszabriskie.com/

Views: 12792
Up and Atom

This video covers the definition of discrete logarithm and the discrete logarithm problem. We also give several examples.

Views: 1641
Leandro Junes

https://8gwifi.org/CipherFunctions.jsp
Reference book: http://leanpub.com/crypto
Computer Security, Cryptography Advanced Encryption Standard AES,fips 197
The Advanced Encryption Standard (AES) specifies a FIPS-approved
cryptographic algorithm that can be used to protect electronic data. The AES algorithm is a symmetric block cipher that can encrypt (encipher) and decrypt (decipher) information. Encryption converts data to an unintelligible form called ciphertext; decrypting the ciphertext converts the data back into its original form, called plaintext.
The AES algorithm is capable of using cryptographic keys of 128, 192, and 256 bits to encrypt and decrypt data in blocks of 128 bits.
aes encryption and decryption
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aes algorithm,
aes encryption explained,
aes algorithm tutorial,
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aes algorithm lecture,
aes algorithm example,
aes cryptography,
aes encryption and decryption algorithm

Views: 140831
Zariga Tongy

This presentation was recorded at GOTO Amsterdam 2017
http://gotoams.nl
Jaya Baloo - CISO of KPN Telecom
ABSTRACT
As the legislation around data privacy erodes the demands for surveillance from state agencies is increasing. Furthermore, the legitimization of offensive cyber capabilities means that the new world order will be fighting non sanctioned wars [...]
Download slides and read the full abstract here:
https://gotoams.nl/2017/sessions/134
https://twitter.com/gotoamst
https://www.facebook.com/GOTOConference
http://gotocon.com

Views: 2806
GOTO Conferences

The conventional wisdom in cryptography is that for greatest security one should choose parameters as randomly as possible. In particular, in elliptic and hyperelliptic curve cryptography this means making random choices of the coefficients of the defining equation. One can often achieve greater efficiency by working with special curves, but that should be done only if one is willing to risk a possible lowering of security. Namely, the extra structure that allows for greater efficiency could also some day lead to specialized attacks that would not apply to random curves. This way of thinking is reasonable, and it is uncontroversial. However, some recent work opens up the possibility that it might sometimes be wrong. This talk is based on a joint paper with Alfred Menezes and Ann Hibner Koblitz.

Views: 149
Microsoft Research

This video explains how the elgama cryptosystem encryption and decryption is done 😎😎
Visit Our Channel :- https://www.youtube.com/channel/UCxik...
In this lecture we have taught about Diffie Hellman Key Exchange and how it operates. Also a quick overview of AES and the basics of encryption.
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Views: 17417
Quick Trixx

Views: 16255
nptelhrd

The Cypress Semiconductor PSoC 6 is a dual-core microcontroller featuring all Cypress's peripherals and configurability of previous generations, to build low-power designs with a high degree of security, for IoT. Cypress PSoC 6 features ARM Cortex-M4 and ARM Cortex-M0+ cores, in an ultra-low-power 40-nm process technology, with integrated security features required for next-generation IoT. The architecture is intended to fill a gap in IoT offerings between power-hungry and higher-cost application processors and performance-challenged, single-core MCUs. The dual-core architecture lets designers optimize for power and performance simultaneously, alongside its software-defined peripherals. The two cores can achieve 22 µA/MHz and 15 µA/MHz of active power on the ARM Cortex-M4 and Cortex-M0+ cores, respectively. The dual-core architecture enables power-optimized system design where the auxiliary core can be used as an offload engine for power efficiency, allowing the main core to sleep.
The PSoC 6 MCU architecture provides a hardware-based Trusted Execution Environment (TEE) with secure boot capability and integrated secure data storage to protect firmware, applications and secure assets such as cryptographic keys. PSoC 6 implements a set of industry-standard symmetric and asymmetric cryptographic algorithms, including Elliptical-Curve Cryptography (ECC), Advanced Encryption Standard (AES), and Secure Hash Algorithms (SHA 1,2,3) in an integrated hardware coprocessor designed to offload compute-intensive tasks. The architecture supports multiple, simultaneous secure environments without the need for external memories or secure elements, and offers scalable secure memory for multiple, independent user-defined security policies.
Software-defined peripherals can be used to create custom analogue front-ends (AFEs) or digital interfaces for innovative system components such as electronic-ink displays. The architecture offers flexible wireless connectivity options, including fully integrated Bluetooth Low Energy (BLE) 5.0. The PSoC 6 MCU architecture features the latest generation of Cypress’ CapSense capacitive-sensing technology, enabling touch and gesture-based interfaces. The architecture is supported by Cypress’ PSoC Creator Integrated Design Environment (IDE) and the ARM ecosystem.
In this video, Cypress shows PSoC 6 using a wearable demo and the PSoC 6 pioneer kit. You can read more about PSoC 6 here: http://www.cypress.com/event/psoc-6-purpose-built-iots

Views: 3375
Charbax

Spies used to meet in the park to exchange code words, now things have moved on - Robert Miles explains the principle of Public/Private Key Cryptography
note1: Yes, it should have been 'Obi Wan' not 'Obi One' :)
note2: The string of 'garbage' text in the two examples should have been different to illustrate more clearly that there are two different systems in use.
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This video was filmed and edited by Sean Riley.
Computer Science at the University of Nottingham: http://bit.ly/nottscomputer
Computerphile is a sister project to Brady Haran's Numberphile. See the full list of Brady's video projects at: http://bit.ly/bradychannels

Views: 394148
Computerphile

RSA Public Key Encryption Algorithm (cryptography). How & why it works. Introduces Euler's Theorem, Euler's Phi function, prime factorization, modular exponentiation & time complexity.
Link to factoring graph: http://www.khanacademy.org/labs/explorations/time-complexity

Views: 492989
Art of the Problem

Radio frequency identification (RFID) is a technology for the automated identification of physical entities using radio frequency transmissions. In the past ten years, RFID systems have gained popularity in many applications, such as supply chain management, library systems, e-passports, contactless cards, identification systems, and human implantation. RFID is one of the most promising technologies in the field of ubiquitous and pervasive computing. Many new applications can be created by embedding an object with RFID tags. However, the rapid development of RFID systems raises serious privacy and security concerns that could prevent the benefits of RFID technology from being fully utilized. In this talk, first I will give an overview for the proposed methods in the literature for authentications in RFID systems, then I will present a lightweight WG stream cipher for securing RFID systems, and provide the security analysis and efficient implementation of an instance of WG-8 on microcontroller.

Views: 309
Microsoft Research

© 2018 Will bitcoin go up or down

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