PPT-Elliptic Curve Cryptography:

Keeping the Smart Grid Secure A smart grid delivers electricity from suppliers to consumers using digital technology to monitor and optionally control appliances at consumers homes Utilize . By . Abhijith. . Chandrashekar. . and . Dushyant. . Maheshwary. Introduction. What are Elliptic Curves?. Curve with standard form y. 2. = x. 3 . + ax + b a, b . ϵ ℝ. Characteristics of Elliptic Curve. ATM Conference, Telford. Jonny Griffiths, April 2011. 10. 3. +9. 3. =12. 3. +1. 3. = 1729. x. 3. +y. 3. = 1729. Symmetrical about y = x. x. 3. +y. 3. =(. x+y. )(x. 2. -xy+y. 2. ). (1,12). (9,10). (10,9). Elliptic Curve Cryptography. CSCI 5857: Encoding and Encryption. Outline. Encryption as points on ellip. tic curves in space. Elliptic curves and modular arithmetic. Mathematical operations on elliptic curves. for HCCA Resistance. . Poulami. Das and . Debapriya. . Basu. Roy. under the supervision of. Dr. . Debdeep. . Mukhopadhyay. Today’s talk . Introduction. w. ith reference to . Lyness. cycles. Jonny Griffiths, UEA, November 2010. a. x. + by + c = 0. Straight line. a. x. 2. + . bxy. + cy. 2. + . dx. + . ey. + f = 0. Conics. Circle, ellipse, parabola, hyperbola, . Legendrian Knots. Y. . Eliashberg. , M. Fraser. arXiv:0801.2553v2 [math.GT]. Presented. . by . Ana Nora Evans. University of Virginia. April 28, . 2011. I don’t even know what a knot is!. TexPoint fonts used in EMF. . Andy Malone. CEO & Founder. The Cybercrime Security Forum. Explaining the Unexplained: Part One. Andrew.malone@quality-training.co.uk. SIA400. Note: . Although this is a level 400 session. It is designed to be a training session providing history, development and practical uses of Cryptography and as such if you already consider yourself an expert in cryptography then this session will be 300 Level.. Yan and Jean. -Yves . Ollitrault. CNRS, . Institut . de . Physique Théorique . de . Saclay. and Art Poskanzer. LBNL. Azimuthal Anisotropy Distributions:. The Elliptic Power Distribution. Main Point. 1. Administrative Note. Professor Blocki is traveling and will be back on Wednesday. . E-mail: . jblocki@purdue.edu. . Thanks to Professor Spafford for covering the first lecture!. 2. https://www.cs.purdue.edu/homes/jblocki/courses/555_Spring17/index.html. Y. . Eliashberg. , M. Fraser. arXiv:0801.2553v2 [math.GT]. Presented. . by . Ana Nora Evans. University of Virginia. April 28, . 2011. I don’t even know what a knot is!. TexPoint fonts used in EMF. . Daniel Dreibelbis. University of North Florida. Outline. Define the Key Exchange Problem. Define elliptic curves and their group structure. Define elliptic curves mod . p. Define the Elliptic Curve Discrete Log Problem. . = 1.  . Elliptic . Cone: . +. .  . Hyperboloid . of one . sheet:. +. . . = 1.  . Hyperboloid of two . sheets: .  . Elliptic . paraboloid: .  . Hyperbolic . paraboloid: .  . The . art and science of concealing the messages to introduce secrecy in . information security . is recognized as cryptography. .. The word ‘cryptography’ was coined by combining two Greek words, ‘Krypto’ . Session 6 . – . Contents. Cryptography Basics. Elliptic Curve (EC) Concepts. Finite Fields. Selecting an Elliptic Curve. Cryptography Using EC. Digital Signature. Cryptography Basics. Security Services Security Mechanisms.