'Relatively prime' diaporamas de présentation

Public Key Cryptography

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Prime Numbers

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David Evans http://www.cs.virginia.edu/evans

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David Evans http://www.cs.virginia.edu/evans

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Security and Internet Commerce

Security and Internet Commerce. Chapter 29. Security in Transaction Processing Systems. Security is essential in many transaction processing applications Authentication Is the user who he says he is? Authorization What is an authenticated user allowed to do?

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Chapter 7: Network security

Foundations: what is security? cryptography authentication message integrity key distribution and certification Security in practice: application layer: secure e-mail transport layer: Internet commerce, SSL, SET network layer: IP security. Chapter 7: Network security.

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Lecture 17

Lecture 17. Security Introduction Cryptography basics Web Security and Vulnerabilities Network SecurityTools. What is Network Security?.

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Chapter 4 Properties of the integers: mathematical induction

Chapter 4 Properties of the integers: mathematical induction . Yen-Liang Chen Dept of IM NCU. 4.1. The well-ordered principle: mathematical induction . Z + ={x ? Z ? x ? 1} but Q + ={x ? Q ? x>0} and R + ={x ? R ? x>0}. Z + is different from Q + and R + in the following property .

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Bogazici University Department of Computer Engineering C mpE 220 Discrete Mathematics 08. Basic Number Theory Haluk B

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CPSC 490 Number Theory Primes, Factoring and Euler Phi-function

CPSC 490 Number Theory Primes, Factoring and Euler Phi-function. Mar.31 st , 2006 Sam Chan. Clarifications. The Euclidean Algorithm runs in logarithmic time. Finding modular inverses can be done using the extended Euclidean algorithm.

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Random Number Generation

Random Number Generation. Desirable Attributes: Uniformity Independence Efficiency Replicability Long Cycle Length. Random Number Generation (cont.).

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David Evans evans@cs.virginia.edu http://www.cs.virginia.edu/~evans

The Bugs and the Bees Research in Programming Languages and Security. David Evans evans@cs.virginia.edu http://www.cs.virginia.edu/~evans. University of Virginia Department of Computer Science. What is Computer Science?.

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Math 3121 Abstract Algebra I

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RSA and Public Key Cryptography

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Greatest Common Factor

Greatest Common Factor. Greatest Common Factor. What is a Greatest Common Factor? The greatest common factor (GCF) of a group of numbers is the largest (greatest) of all the factors the numbers have in common. Example: What is greatest common factor of the following group? 8, 12, 20

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Using Prime Factorizations:

Using Prime Factorizations:. How can prime factorizations help us find the GCF and LCM of two numbers????. Prime Factorization Defn: . The prime factorization of a number is a string of factors made up of only prime numbers. The GCF: . Find the Prime Factorization of 24 and 60.

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VEDIC MATHEMATICS : Divisibility

VEDIC MATHEMATICS : Divisibility. T. K. Prasad http://www.cs.wright.edu/~tkprasad. Divisibility. A number n is divisible by f if there exists another number q such that n = f * q. f is called the factor and q is called the quotient . 25 is divisible by 5

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CSE 202 - Algorithms

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Ciphertext Only Cryptanalytic Attack on Merkle-Hellman Knapsack: Dynamic Programming Algorithm

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