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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: 31174 nptelhrd

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Views: 172 xuan-gottfried YANG

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Adam Gibson presents a tour of cryptographic protocols including sigma, Schnorr, ECDSA and CoinSwaps. Slides are here: https://joinmarket.me/static/schnorrplus.pdf
Views: 120 London Bitcoin Devs

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This is lecture on "Factoring with Elliptic Curves", by Jeremy Teitelbaum, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
Views: 144 UConn Mathematics

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Views: 1119 securitylectures

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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: 1078 wolframmathematica

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This is a project that a friend of mine and I did for our math class. Our teacher gave us permission to do a "creative option" when we were exploring vectors and reviewing other concepts covered over the span of the year. So we made another movie using World of Warcraft that included some unique transformations and cryptography with matrices. Everything was done on an 09' iMac and Screenflow was used for screen capture, while Final Cut Express was used for timeline compositing. A Sony Camera was used for filming the math. Approximate time spent making this movie was 90 hours. I apologize if there are a few typos in the text, we were on a tight schedule and didn't work on spelling and grammar as much as we should have.   Songs Used:  Run to the Hills (Studio Version) - Iron Maiden Lord of the Rings music as well as extracted game music files were also used.   If you enjoyed this and would like to see more then please like and or favorite this video, it encourages us to make more! Also feel free to leave some feedback in the comments. Thanks for watching!
Views: 201 Zivia

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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: 2968 Audiopedia

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The Complex Structure of Elliptic Curves ---------------- My talk will be based on the material I am studying for my senior thesis. I am studying elliptic curves, in particular, their lattices in C. I plan to cover the following: 1. What an elliptic curve looks like in R^2. 2. Lattices and doubly periodic functions in C. 3. The p-function and its differential equation, and how it relates the lattice in C to the curve in R^2. Depending on how much time that material takes, I could also discuss topics such as points on the curve of finite order in both R^2 and C, homothetic lattices and the j-invariant, and lattices which correspond to rings of class number 1.
Views: 300 BrownMathDUG