PPT-Elliptic Curves Number Theory and Cryptography

A Pile of Cannonballs A Square of Cannonballs 1 4 9 1 4 9 x 2 x x 1 2x 16 x3 1 4 9 3476 14 The number of cannonballs in x layers is. 897 Special Topics in Cryptography Instructors Ran Canetti and Ron Rivest Lecture 25 PairingBased Cryptography May 5 2004 Scribe Ben Adida 1 Introduction The 64257eld of PairingBased Cryptography has exploded 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. Sixth Edition. by William Stallings . Chapter 10. Other Public-Key Cryptosystems. “Amongst the tribes of Central Australia every man, woman, and child has a secret or sacred name which is bestowed by the older men upon him or her soon after birth, and which is known to none but the fully initiated members of the group. This secret name is never mentioned except upon the most solemn occasions; to utter it in the hearing of men of another group would be a most serious breach of tribal custom. When mentioned at all, the name is spoken only in a whisper, and not until the most elaborate precautions have been taken that it shall be heard by no one but members of the group. The native thinks that a stranger knowing his secret name would have special power to work him ill by means of magic.”. 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 . 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, . 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.. Kyungpook National University. Heavy Ion Meeting 2011-02, . Muju. Resort. Feb. 27-Mar. 1, 2011. Hadronic. . rescattering. in elliptic flow & Heavy quarks at RHIC. Contents . Introduction. Hadronic. 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. 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. . Symmetric Encryption. Key exchange . Public-Key Cryptography. Key exchange. Certification . Why Cryptography. General Security Goal. - . Confidentiality . (. fortrolig. ). - . End-point Authentication . What is cryptography?. The study and practice of using encryption techniques for secure communication. Mainly about creation and analysis of protocols that keep private messages private. Utilizes mathematics, computer science and electrical engineering in its use. 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. 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. 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.