Search results “Elliptical curve cryptography implementation definition”
Implementation of Elliptic Curve Cryptography
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: 12842 nptelhrd
Elliptic Curve Cryptography(ECC) - GATE Computer Science
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
Elliptic Curve Cryptography & Diffie-Hellman
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: 52222 CSBreakdown
An Introduction to Elliptic Curve Cryptography
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: 30080 nptelhrd
Elliptic Curve Cryptography, A very brief and superficial introduction
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: 3383 Arthur Gleckler
Elliptic Curve Diffie Hellman
A short video I put together that describes the basics of the Elliptic Curve Diffie-Hellman protocol for key exchanges.
Views: 112468 Robert Pierce
Elliptic Curve ElGamal Cryptosystem
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: 9588 Theoretically
Elliptic Curve Cryptography
Adding two rational points will create a third rational point
Views: 34762 Israel Reyes
Elliptic curve cryptography
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: 2807 Audiopedia
Lecture 17: Elliptic Curve Cryptography (ECC) by Christof Paar
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com
The Math Behind Elliptic Curves in Koblitz Curves
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/
Application of Elliptic Curves to Cryptography
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: 10335 nptelhrd
Bitcoin 101 - Elliptic Curve Cryptography - Part 4 - Generating the Public Key (in Python)
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: 21460 CRI
Breaking ECDSA (Elliptic Curve Cryptography) - rhme2 Secure Filesystem v1.92r1 (crypto 150)
We are going to recover a ECDSA private key from bad signatures. Same issue the Playstation 3 had that allowed it to be hacked. -=[ 🔴 Stuff I use ]=- → Microphone:* https://amzn.to/2LW6ldx → Graphics tablet:* https://amzn.to/2C8djYj → Camera#1 for streaming:* https://amzn.to/2SJ66VM → Lens for streaming:* https://amzn.to/2CdG31I → Connect Camera#1 to PC:* https://amzn.to/2VDRhWj → Camera#2 for electronics:* https://amzn.to/2LWxehv → Lens for macro shots:* https://amzn.to/2C5tXrw → Keyboard:* https://amzn.to/2LZgCFD → Headphones:* https://amzn.to/2M2KhxW -=[ ❤️ Support ]=- → per Video: https://www.patreon.com/join/liveoverflow → per Month: https://www.youtube.com/channel/UClcE-kVhqyiHCcjYwcpfj9w/join -=[ 🐕 Social ]=- → Twitter: https://twitter.com/LiveOverflow/ → Website: https://liveoverflow.com/ → Subreddit: https://www.reddit.com/r/LiveOverflow/ → Facebook: https://www.facebook.com/LiveOverflow/ -=[ 📄 P.S. ]=- All links with "*" are affiliate links. LiveOverflow / Security Flag GmbH is part of the Amazon Affiliate Partner Programm. #CTF #Cryptography
Views: 29783 LiveOverflow
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.
Igor Shparlinski: Group structures of elliptic curves #1
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area We give a survey of results which address the following generic question: How does a random elliptic curve over a finite field look like. This question has a rich variety of specfic interpretations, which depend on how one defines a random curve and what properties which are of interest. The former may include randomisation of the coefficients of the Weierstrass equation or the prime power defining the field, or both. The latter may include studying the group structure, arithmetic structure of the number of points (primality, smoothness, etc.) and certain divisibility conditions. These questions are related to such celebrated problems as Lang-Trotter and Sato-Tate conjectures. More recently the interest to these questions was re-fueled by the needs of pairing based cryptography. In a series of talks we will describe the state of art in some of these directions, demonstrate the richness of underlying mathematics and pose some open questions. Recording during the thematic meeting: "Frobenius distribution on curves" the February 18, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France)
Elliptic Curve Cayley Diagram in 3D (Ubigraph)
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: 7826 Andrew L
3rd BIU Winter School on Cryptography: Applications of Elliptic Curves to Cryptography - Nigel Smart
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: 1418 barilanuniversity
A High-Speed FPGA Implementation of an RSD-Based ECC Processor
A High-Speed FPGA Implementation of an RSD-Based ECC Processor To get this project in ONLINE or through TRAINING Sessions, Contact: JP INFOTECH, Old No.31, New No.86, 1st Floor, 1st Avenue, Ashok Pillar, Chennai -83.Landmark: Next to Kotak Mahendra Bank. Pondicherry Office: JP INFOTECH, #37, Kamaraj Salai,Thattanchavady, Puducherry -9.Landmark: Next to VVP Nagar Arch. Mobile: (0) 9952649690, Email: [email protected], web: http://www.jpinfotech.org In this paper, an exportable application-specific instruction-set elliptic curve cryptography processor based on redundant signed digit representation is proposed. The processor employs extensive pipelining techniques for Karatsuba–Ofman method to achieve high throughput multiplication. Furthermore, an efficient modular adder without comparison and a high throughput modular divider, which results in a short datapath for maximized frequency, are implemented. The proposed architecture of this paper analysis the logic size, area and power consumption using Xilinx 14.2.
Views: 41 jpinfotechprojects
DES algorithm follows the Feistel Structure Most of the Block cipher algorithms follows Feistel Structure BLOCK SIZE - 64 bits Plain Text No. of Rounds - 16 Rounds Key Size - 64 bits Sub Key Size - 48 bits No. of Sub Keys - 16 Sub Keys Cipher Text - 64 bits
Views: 141453 Sundeep Saradhi Kanthety
Digital Signature : If the Sender Private key is used at encryption then it is called digital signature. This digital Signature is implemented two approaches 1) RSA Approach 2) DSS Approach.
Asymmetric encryption - Simply explained
How does public-key cryptography work? What is a private key and a public key? Why is asymmetric encryption different from symmetric encryption? I'll explain all of these in plain English! 🐦 Follow me on Twitter: https://twitter.com/savjee ✏️ Check out my blog: https://www.savjee.be 👍🏻 Like my Facebook page: https://www.facebook.com/savjee
Adding Points on an Elliptic Curve
http://demonstrations.wolfram.com/AddingPointsOnAnEllipticCurve/ The Wolfram Demonstrations Project contains thousands of free interactive visualizations, with new entries added daily. Elliptic curves are the solutions sets of nonsingular cubic polynomials of degree three. It is possible to define an addition law for these points so that they form an abelian algebraic group. In order to add distinct points, construct the line between ... Contributed by: John McGee
Views: 1063 wolframmathematica
How to Reveal the Secrets of an Obscure White-Box Implementation | Junwei Wang | RWC 2018
Technical talks from the Real World Crypto conference series.
Views: 611 Real World Crypto
Public Key Cryptography: RSA Encryption Algorithm
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: 556494 Art of the Problem
Identity Based Encryption
Views: 4377 Bill Buchanan OBE
Prng Implementation - Applied Cryptography
This video is part of an online course, Applied Cryptography. Check out the course here: https://www.udacity.com/course/cs387.
Views: 3278 Udacity
What is GCM? Galois Counter Mode (of operation) (usually seen as AES-GCM)
In this video I'm explaining what is that Galois Counter Mode that provides Authenticated Encryption with Associated Data (AEAD). You must have heard it combined with AES, and maybe used in TLS, ... This is just a small explanation, you can get more on the NIST specs. Errata (thanks to Casper Kejlberg-Rasmussen in the comments) error at 11:21, the last M_H that is applied before going into the TAG should not be there if you compare your drawing to the diagram on https://en.wikipedia.org/wiki/Galois/Counter_Mode. Be sure to follow me on twitter :) https://twitter.com/lyon01_david and to subscribe to my blog! http://www.cryptologie.net Cheers!
Views: 18512 David Wong
cryptography - Perfect Secrecy Part II
Cryptography To get certificate subscribe: https://www.coursera.org/learn/cryptography ======================== Playlist URL: https://www.youtube.com/playlist?list=PL2jykFOD1AWb07OLBdFI2QIHvPo3aTTeu ============================ Youtube channel: https://www.youtube.com/user/intrigano ============================ https://scsa.ge/en/online-courses/ https://www.facebook.com/cyberassociation/
Views: 2050 intrigano
Visual Cryptography
Hiding your images in style since 1994. Copyright Protection Scheme for Digital Images Using Visual Cryptography and Sampling Methods Ching-Sheng Hsu Young-Chang Hou July 2005 RIT, IMGS-362 Image Processing & Computer Vision II
Views: 26548 Matt Donato
Cypress PSoC 6 dual-core ARM Cortex-M4 and ARM Cortex-M0+
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: 3694 Charbax
Introduction to the Post-Quantum Supersingular Isogeny Diffie-Hellman Protocol
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: 2090 David Urbanik
Quantum Cryptography | CaltechX and DelftX on edX | Course About Video
Learn how quantum communication provides security that is guaranteed by the laws of nature. Take this course free on edX: https://www.edx.org/course/quantum-cryptography-caltechx-delftx-qucryptox#! ABOUT THIS COURSE How can you tell a secret when everyone is able to listen in? In this course, you will learn how to use quantum effects, such as quantum entanglement and uncertainty, to implement cryptographic tasks with levels of security that are impossible to achieve classically. This interdisciplinary course is an introduction to the exciting field of quantum cryptography, developed in collaboration between QuTech at Delft University of Technology and the California Institute of Technology. By the end of the course you will: - Be armed with a fundamental toolbox for understanding, designing and analyzing quantum protocols. - Understand quantum key distribution protocols. - Understand how untrusted quantum devices can be tested. - Be familiar with modern quantum cryptography – beyond quantum key distribution. This course assumes a solid knowledge of linear algebra and probability at the level of an advanced undergraduate. Basic knowledge of elementary quantum information (qubits and simple measurements) is also assumed, but if you are completely new to quantum information additional videos are provided for you to fill in any gaps. WHAT YOU'LL LEARN - Fundamental ideas of quantum cryptography - Cryptographic concepts and tools: security definitions, the min-entropy, privacy amplification - Protocols and proofs of security for quantum key distribution - The basics of device-independent quantum cryptography - Modern quantum cryptographic tasks and protocols
Views: 9413 edX
Cryptography with Matrices
This tutorial will show you how to encode and decode messages using matrices.
Views: 11519 Marshematics
Shannons Theory
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: 9874 nptelhrd
Daniel J. Bernstein - How to manipulate standards - project bullrun
Daniel J. Bernstein - How to manipulate standards - project bullrun Daniel Julius Bernstein (sometimes known simply as djb; born October 29, 1971) is a German-American[2] mathematician, cryptologist, programmer, and professor of mathematics and computer science at the Eindhoven University of Technology and research professor at the University of Illinois at Chicago. His computer software programs qmail, publicfile, and djbdns were released as license-free software. This was used by some of the people that were offended by his criticism to stop the distribution of his software, so that Linux distributions such as Debian which used qmail internally did not distribute qmail. OpenBSD a security focused operating system had the majority of its security exploits as a result of its decision to stay with Sendmail and BIND and removed qmail and djbdns from its ports as part of the license dispute. This issue was resolved when Bernstein released the source code of his projects into public domain software in 2007. Bernstein designed his Salsa20 stream cipher in 2005 and submitted to eSTREAM for review, another variant, ChaCha20, is published by him in 2008. He also designed Curve25519, a public key cryptography scheme based on elliptic curve in 2005, and worked as the lead researcher on its Ed25519 implementation of EdDSA. Without any adoptions at first, after nearly a decade later, Edward Snowden's disclosure about the mass surveillance by the National Security Agency, especially a backdoor inside Dual_EC_DRBG, suspicions of the NIST's P curve constants[3] led to concerns[4] that the NSA had chosen values that gave them an advantage in factoring[5] public keys.[6] Since then Curve25519 and EdDSA has attracted much attention and became the de facto replacement of NIST P curve. Google has also selected ChaCha20 along with Bernstein's Poly1305 message authentication code as a replacement for RC4 in TLS, which is used for Internet security.[7] Many protocols based on his works have now standardized and used in a variety of applications, such as Apple iOS,[8] Linux kernel,[9] OpenSSH,[10][11] and Tor.[12]
Views: 422 Thomas D
Linear Cryptanalysis
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: 17377 nptelhrd
CS 463/680: Elliptic Curve Jacobi Coordinates
Using Jacobi coordinates to speed up elliptic curve cryptography. Course lecture for CS 463/680, Cryptography and Data Security https://www.cs.uaf.edu/courses/cs463/2015-spring/
Views: 244 Orion Lawlor
Cryptography, Cryptographic Security Controls & Cryptography Security Techniques Explained
Thanks For Watching This Video, I Hope You Must Have Liked It. If yes then please hit the subscribe button as I will be uploading a lot of IT security related training videos on this channel and if you will be my subscriber then you my friend will be the first one who will be notified about all my new videos my friend. If you have any questions for the topic that I have discussed in this video then please feel free to comment my friend and I will be happy to respond back to your queries... Please note that - all ISO 27001 documents and standards are completely owned intellectual property & copyright of ISO. So in case if by any chance you are interested to study more about the standard that I have discussed here then please go to the official ISO website in order to purchase the standards. This channel is only created to generate awareness and best practices for Information Security in general and if by any chance you wish to implement any of the standards that I have discussed here then you have to first purchase them from official ISO website. This channel is only created to help anyone who is currently studying or planning to study about ISMS Information Security Management System ISO 27001 Implementation. I want to make my contribution in the information security community.This channel is only created to generate awareness and best practices for Information Security in general. Disclaimer: Since ISO 27001 is a very vast topic and the implementation varies for all organization's so I can't ever call myself an "expert" in this field, all the knowledge and information that I am sharing here is only based upon my past experience in information security field and may not be directly applicable within your organization as such. So please use your judgement before implementing anything based upon my suggestions. I request you not to rely on anything that I say here, I do my best to be as accurate and as complete information that I can provide you “but” only the published standards are definitive. Only the published ISO standards stand above any information that I have shared in any of my videos. Thanks, Your IT Security Friend Luv Johar Website : http://aajkatech.com/ iso 27001 explained, iso 27001 awareness trainings, iso 27001 free trainings online, Iso 27001 free tutorials, ISO 27001 training material free, lead auditor free training course, lead implementer free training course, ISMS training free, information security management system training free,
Lecture 7: Introduction to Galois Fields for the AES by Christof Paar
For slides, a problem set and more on learning cryptography, visit www.crypto-textbook.com
Endomorphisms, isogeny graphs, and moduli
I will present a retrospective of aspects of my thesis, in light of applications in the last 14 years since its birth. In particular, I will focus on explicit isogenies, moduli of elliptic curves and CM structure, the 'local' Galois module structures of l-torsion and l-isogeny graphs, and 'global' structure of action visa class groups and isogenies. The focus will be directed principally towards ordinary elliptic curves over finite fields, but I will discuss briefly the supersingular case and generalizations to higher dimension.
Views: 523 Microsoft Research
The Caesar cipher | Journey into cryptography | Computer Science | Khan Academy
Brit explains the Caesar cipher, the first popular substitution cipher, and shows how it was broken with "frequency analysis" Watch the next lesson: https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/polyalphabetic-cipher?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Missed the previous lesson? https://www.khanacademy.org/computing/computer-science/cryptography/crypt/v/intro-to-cryptography?utm_source=YT&utm_medium=Desc&utm_campaign=computerscience Computer Science on Khan Academy: Learn select topics from computer science - algorithms (how we solve common problems in computer science and measure the efficiency of our solutions), cryptography (how we protect secret information), and information theory (how we encode and compress information). About Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We believe learners of all ages should have unlimited access to free educational content they can master at their own pace. We use intelligent software, deep data analytics and intuitive user interfaces to help students and teachers around the world. Our resources cover preschool through early college education, including math, biology, chemistry, physics, economics, finance, history, grammar and more. We offer free personalized SAT test prep in partnership with the test developer, the College Board. Khan Academy has been translated into dozens of languages, and 100 million people use our platform worldwide every year. For more information, visit www.khanacademy.org, join us on Facebook or follow us on Twitter at @khanacademy. And remember, you can learn anything. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Computer Science channel: https://www.youtube.com/channel/UC8uHgAVBOy5h1fDsjQghWCw?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Views: 595061 Khan Academy
ECC2012 - Breaking Paring-Based Cryptosystems using ηT pairing over GF(3^97)
Session W3: Attacks on Elliptic curve and pairing cryptosystems Session chair: Imbert Laurent Talk: Breaking pairing-based cryptosystems using ηT pairing over GF(3^97) Speaker: Takuya Hayashi
Views: 231 ECC2012staff
Ephemeral Diffie-Hellman with RSA (DHE-RSA)
Details and basic calculator: http://asecuritysite.com/encryption/dhe
Views: 2636 Bill Buchanan OBE