PPT-COMS E6261 Advanced Cryptography:

Minimalist Cryptography Spring 2016 Lecture 5 Tal Malkin Zero Knowledge Interactive Proof System Definitions PZK SZK CZK Completeness Soundness Zero Knowledge Examples Graph Isomorphism . 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.”. 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. 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. Minimalist Cryptography. Spring 2016, Lecture 5 . Tal Malkin . Zero Knowledge Interactive Proof System. Definitions (PZK, SZK, CZK): . Completeness . Soundness . Zero Knowledge . Examples. Graph Isomorphism . 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. 1. Part I: Crypto. Part 1 . . Cryptography . 2. Crypto. Cryptology . . The art and science of making and breaking “secret codes”. What is cryptography?. Ceasar. Cipher. Public key cryptography. What is cryptography?. Cryptography.  or . cryptology.  (from . Greek.  . κρυπτός.  . kryptós. , "hidden, secret"; and . :. ". Who?" "What?" "Where?" "Why?" and "How?". Craig L. Phillips, MS Ed.. . COMS. December 13,2013. Berthold . Lowenfeld. Blindness imposes the following limitations:. In the range and variety of experiences. Richard J. Blech. Chief Executive Officer. Secure Channels, Inc.. Is there anyone here who cannot parse and explain this equation?. 2. If not, that’s ok.. 3. Why Pre-Computer Cryptography?. If you understand pre-computer crypto, you understand crypto!. 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. 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. The Benefits of Reading Books,Most people read to read and the benefits of reading are surplus. But what are the benefits of reading. Keep reading to find out how reading will help you and may even add years to your life!.The Benefits of Reading Books,What are the benefits of reading you ask? Down below we have listed some of the most common benefits and ones that you will definitely enjoy along with the new adventures provided by the novel you choose to read.,Exercise the Brain by Reading .When you read, your brain gets a workout. You have to remember the various characters, settings, plots and retain that information throughout the book. Your brain is doing a lot of work and you don’t even realize it. Which makes it the perfect exercise! COMS 6998-10. , . Spring . 2013. Instructor: Li . Erran. Li (. lierranli@cs.columbia.edu. ). http://www.cs.columbia.edu/. ~lierranli/coms6998-10Spring2013/. 1. /22/2013: Class Introduction. Outline.