PPT-Cryptography Lecture 22 Fermat’s little theorem

Let G be a finite group of order m Then for any g G it holds that g m 1 Corollary Let G be a finite group of order m Then for g G and integer x it holds that g x. 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 Then there exists a number in ab such that The idea behind the Intermediate Value Theorem is When we have two points af and bf connected by a continuous curve The curve is the function which is Continuous on the interval ab and is a numb CS 465. Last Updated. : . Aug 25, 2015. Outline. Provide a brief historical background of cryptography. Introduce definitions and high-level description of four cryptographic primitives we will learn about this semester. 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.”. Dszquphsbqiz. . Day . 9. Announcements:. Homework 2 due now. Computer quiz Thursday on chapter 2. Questions?. Today: . Finish . congruences. Fermat’s little theorem. Euler’s theorem. Important . Algorithms. Scott Chappell. What is Cryptography?. Definition: the art of writing or solving codes. Basic Encryption Methods. Caesar Shift. Simple Substitution Cipher. Fun to use, but are easily cracked by computers and even by humans. Josh Benaloh. Tolga Acar. Fall 2016. October 25, 2016. 2. The wiretap channel. Key (K. 1. ). Key (K. 2. ). Eavesdropper. Plaintext. (P). Noisy insecure. channel. Encrypt. Decrypt. Alice. Bob. Plaintext. Week two!. The Game. 8 groups of 2. 5 rounds. Math 1. Modern history. Math 2. Computer Programming. Analyzing and comparing Cryptosystems. 10 questions per round. Each question is worth 1 point. Math Round 1. CSE3002 – History of Computing. Group A: Daniel . Bownoth. , Michael Feldman, Dalton Miner, Ashley Sanders. Encryption. The process of securing information by transforming it into code.. Encrypted data must be deciphered, or . 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. to’s. . u. sing . OpenSSL. In this session, we will cover cryptography basics and explore cryptographic functions, performance and examples using . OpenSSL. . . July 2012. LAB: . http://processors.wiki.ti.com/index.php/Sitara_Linux_Training:_Cryptography. Josh Benaloh. Tolga Acar. Fall 2016. October 25, 2016. 2. The wiretap channel. Key (K. 1. ). Key (K. 2. ). Eavesdropper. Plaintext. (P). Noisy insecure. channel. Encrypt. Decrypt. Alice. Bob. Plaintext. Gresham Professor of Geometry. Newton’s . Laws. Tuesday . 21 October 2014 . Euler’s Exponentials. Tuesday . 18 November 2014 . Fourier’s Series. Tuesday 20 January 2015 . Möbius. . and his band . B. 50. 4. /. I. 538. :. . Introduction to. Cryptography. (2017—03—02). Tuesday’s lecture:. One-way permutations (OWPs). PRGs from OWPs. Today’s lecture:. Basic number theory. So far:. “secret key”.