PPT-Number Theory and Cryptography

Chapter 4 With QuestionAnswer Animations Chapter Motivation Number theory is the part of mathematics devoted to the study of the integers and their properties Key ideas in number theory include divisibility and the . 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.. Chapter 4. With Question/Answer Animations. Chapter Motivation. Number theory . is the part of mathematics devoted to the study of the integers and their properties. . Key ideas in number theory include divisibility and the . Eric Ottman. Syracuse University. April 8, 2017. A Tiny Bit of History. In 1874, Georg Cantor published his first article on set theory, including, among other things, his famous “diagonal argument” proving . Symmetric Encryption. Key exchange . Public-Key Cryptography. Key exchange. Certification . Why Cryptography. General Security Goal. - . Confidentiality . (. fortrolig. ). - . End-point Authentication . “The Math”. What kind of math is this?. This does not sound like the things we learned in school…. The professor studied a branch of mathematics called…. Number Theory. Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular. . A Pile of Cannonballs A Square of Cannonballs. 1. 4. 9. .. .. .. 1 4 9 . . . x. 2. . = x (x 1) (2x 1)/6. x=3:. 1 4 9 = 3(4)(7)/6 = 14. The number of cannonballs in x layers is. 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. 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. MAT 302: Algebraic Cryptography LECTURE 1 Jan 2, 2012 MAT 302: Cryptography from Euclid to Zero-Knowledge Proofs LECTURE 1 Jan 2, 2012 Administrivia (see course info sheet) Instructor Vinod Vaikuntanathan 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’ . 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! 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! 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! 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!