PPT-Fundamental Elliptic Curve Cryptography

Author : markes | Published Date : 2020-06-25

Algorithms draftmcgrewfundamentalecc02 mcgrewcisco com kmigoensagov Elliptic Curve Cryptography Alternative to integerbased Key Exchange and Signature algorithms

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Fundamental Elliptic Curve Cryptography: Transcript

Algorithms draftmcgrewfundamentalecc02 mcgrewcisco com kmigoensagov Elliptic Curve Cryptography Alternative to integerbased Key Exchange and Signature algorithms Smaller keys and signatures. 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. Number Theory and Cryptography. A Pile of Cannonballs A Square of Cannonballs. 1. 4. 9. .. .. .. 1 + 4 + 9 + . . . + x. 2. . = x (x + 1) (2x + 1)/6. x=3:. 1 + 4 + 9 = 3(4)(7)/6 = 14. 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. 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. & . ECC Diffie-Hellman. Presenter. : Le . Thanh. . Binh. Outline. What is . Elliptic Curve ?. Addition on an elliptic curve. Elliptic Curve Crypto (ECC). ECC Diffie–Hellman . Lets start with a puzzle…. Symmetric Encryption. Key exchange . Public-Key Cryptography. Key exchange. Certification . Why Cryptography. General Security Goal. - . Confidentiality . (. fortrolig. ). - . End-point Authentication . 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. . A Pile of Cannonballs A Square of Cannonballs. 1. 4. 9. .. .. .. 1 4 9 . . . x. 2. . = x (x 1) (2x 1)/6. x=3:. 1 4 9 = 3(4)(7)/6 = 14. The number of cannonballs in x layers is. 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. 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.

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