PPT-Cryptography Lecture 21 Groups

Introduce the notion of a group Provides a way of reasoning about objects that share the same mathematical structure Not absolutely needed to understand crypto applications but does make it conceptually easier. However computational aspects of lattices were not investigated much until the early 1980s when they were successfully employed for breaking several proposed cryptosystems among many other applications It was not until the late 1990s that lattices w 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 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.”. (Quantum Cryptography). The BIG Idea. Basic idea of cryptography – To keep information secure from prying eyes. . Current encryption is mathematically based. Basically there are several possible types of keys and if the sender and end user both know the key, they can exchange information securely. . for Data Protection. Rafal Lukawiecki. Strategic Consultant. Project Botticelli Ltd. Session Code: ARC303. Objectives And Agenda. Outline data protection requirements. Explain the status of today’s cryptography. 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.. CS. . 111. Operating . Systems . Peter Reiher. . Outline. Basic concepts in computer security. Design principles for security. Important security tools for operating systems. Access control. Cryptography and operating systems. Josh Benaloh. Tolga Acar. Fall 2016. November 8, 2016. Practical Aspects of Modern Cryptography. 1. What is Money?. 106 billion people lived. 94% are dead. Most of the world’s wealth made after 1800. 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. What is cryptography?. Ceasar. Cipher. Public key cryptography. What is cryptography?. Cryptography.  or . cryptology.  (from . Greek.  . κρυπτός.  . kryptós. , "hidden, secret"; and . 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. Cyclic group G of order q with generator g.  G.  . G = {g. 0. , g. 1. , …, g. q-1. }. For any h .  G, define . log. g. h .  {0, …, q-1} as. . log. g. h = x  . Crypto is amazing. Can do things that initially seem impossible. Crypto is important. It impacts each of us every day. Crypto is fun!. Deep theory. Attackers’ mindset. Necessary administrative stuff.