PPT-Cryptography Lecture 6 Pseudorandom generators

PRGs Let G be an efficient deterministic algorithm that expands a short seed into a longer output Specifically let Gx px G is a PRG if when the distribution of x is uniform the distribution of Gx is indistinguishable from uniform. 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.”. Motors and Generators. Electromagnets. Magnet Poles. Parts of a Basic DC Motor. Electric Generators. From the Power Plant to Your Home. Motors and Generators . Small DC Motor. Generator in a Hydro Plant. 3b. . Pseudorandomness. .. B. ased on: Jonathan . Katz and Yehuda . Lindell. . Introduction . to . Modern Cryptography. 2. Pseudorandomness. An introduction. A distribution . D. is pseudorandom if no PPT . Vadim . Lyubashevsky. Cryptography. Allows for secure communication in the presence of malicious parties. 2. Cryptography. Allows for secure communication in the presence of malicious parties. 3. Cryptography. 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 . Symmetric Encryption. Key exchange . Public-Key Cryptography. Key exchange. Certification . Why Cryptography. General Security Goal. - . Confidentiality . (. fortrolig. ). - . End-point Authentication . Vadim . Lyubashevsky. Cryptography. Allows for secure communication in the presence of malicious parties. 2. Cryptography. Allows for secure communication in the presence of malicious parties. 3. Cryptography. Cryptography Lecture 6 Pseudorandom generators (PRGs) Let G be an efficient, deterministic algorithm that expands a short seed into a longer output Specifically, let |G(x)| = p(|x|) G is a PRG if: when the distribution of x is uniform, the distribution of G(x) is “indistinguishable from uniform” Cryptography Lecture 6 Clicker quiz Let G(x) = x || parity(x). Which of the following proves that G is not a pseudorandom generator? G is not expanding Consider the following distinguisher D: D(y) outputs 1 k. c. m. c. . . . Enc. k. (m). k. m. 1. c. 1. . . . Enc. k. (m. 1. ). m. 2. c. 2. . . . Enc. k. (m. 2. ). c. 1. c. 2. Is the threat model too strong?. In practice, there are many ways an attacker can . 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’ . 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.