PPT-Cryptography CS 555 Topic 24: Finding Prime Numbers, RSA

1 Recap Number Theory Basics Abelian Groups for distinct primes p and q   2 RSA KeyGeneration KeyGeneration 1 n Step 1 Pick two random nbit primes p and q Step 2 Let N. 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 Multivibrators. and the . 555 Timer . Read . Kleitz. , Chapter 14.. Lab #13 due next week.. Homework #13 due next week.. Quiz next week.. Multivibrator. A . multivibrator. is a circuit whose . o. utput changes between two digital levels.. 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.”. Chapter 9 - . Public-Key Cryptography. Fifth Edition. by William Stallings . Lecture slides by Lawrie Brown. Why Public-Key Cryptography?. developed to address two key issues:. key distribution. – how to have secure communications in general without having to trust a KDC with your key. History, theories and applications. By Kim . Wojtowicz. Definition of a Prime Number. A Prime number is a number that has exactly 2 Distinct factors: itself and 1. . Smallest prime number is 2, it is also the only even prime number.. ICS 6D. Sandy . Irani. Cryptography Intro. Alice wants to send a message to Bob so that even if Eve can see the transmitted information, she does not learn the true message.. message. message. message. Multivibrators. and the . 555 Timer . Read . Kleitz. , Chapter 14.. Lab #13 due next week.. Homework #13 due next week.. Quiz next week.. Multivibrator. A . multivibrator. is a circuit whose . o. utput changes between two digital levels.. Symmetric Encryption. Key exchange . Public-Key Cryptography. Key exchange. Certification . Why Cryptography. General Security Goal. - . Confidentiality . (. fortrolig. ). - . End-point Authentication . There is a rule for finding any prime (. eg. the . ). . There . is a way to find out how many primes are below any number (. eg. Number of primes below 1000). . There . is no end to the prime numbers. . Terra Alta/East Preston . School. Eratosthenes. (ehr-uh-TAHS-thuh-neez). Eratosthenes was the librarian at. Alexandria, Egypt in 200 B.C. . Note every book was a scroll.. Eratosthenes. (ehr-uh-TAHS-thuh-neez). . Multivibrator. 1. 2. The . TLC555C. Chip (in your kit). An integrated chip that is used in a wide variety of circuits to generate square wave and triangular shaped single and periodic pulses.. Examples in your home are . 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. 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’ .