'Little theorem' presentation slideshows

TEST OF FUNDAMENTALS

858 views • 60 slides

Number Theory Algorithms and Cryptography Algorithms

1.3k views • 50 slides

Primality Test

Lecture 26. Primality Test. Professor Sin-Min Lee Department of Computer Science San Jose State University. Primality Testing A Classical Number Theoretic Problem: . Definition: A positive integer n is prime iff its only divisors are 1 and n .

1.03k views • 37 slides

22C:19 Discrete Math Integers and Modular Arithmetic

22C:19 Discrete Math Integers and Modular Arithmetic . Fall 2011 Sukumar Ghosh. Preamble. Historically, number theory has been a beautiful area of study in pure mathematics . However, in modern times, number theory is very important in the area of security .

566 views • 37 slides

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.

673 views • 36 slides

Public-Key Cryptography

Public-Key Cryptography. Dr. Ron Rymon Efi Arazi School of Computer Science IDC, Herzliya. 2010/11. Pre-Requisites: Conventional Cryptography. Overview. Public Key Cryptography Crossword puzzles Diffie-Hellman RSA Elliptic Curves Digital Signatures

428 views • 34 slides

Prime Numbers

Prime Numbers. -Timothy Goodman -Tyson Slater. Sieve of Eratosthenes. Background Ancient Algorithm attributed to Eratosthenes Predecessor to the Sieve of Atkin Used to find primes up to n Wheel Factorization Speed increase. Seive of Eratosthenes. Algorithm

440 views • 22 slides

Chapter 3

Chapter 3. 3.7 Applications of Number Theory Some U seful Results Linear C ongruences The C hinese Remainder T heorem Computer Arithmetic with L arge Integers Pseudoprimes Public Key Cryptography. Some Useful Results.

486 views • 22 slides

The AKS Primality Test

The AKS Primality Test. Ilse Haim Directed Reading Program Mentor: Jon Huang University of Maryland, College Park May 2, 2013. Introduction to Primality Testing. Goal: given an integer n > 1, determine whether n is prime Most people know the smallest primes

758 views • 21 slides

PRIMES is in P

PRIMES is in P. Agrawal-Kayal-Saxena Presented by: Xiaosi Zhou. Outline. Introduction 1. What is PRIMES 2. Algorithms for PRIMES before AKS AKS algorithm 1 . Basic idea 2. Notation and Preliminaries 3. The algorithm and its correctness 4. Time complexity analysis

592 views • 20 slides

PRIMES is in P

PRIMES is in P. Agrawal-Kayal-Saxena Presented by: Xiaosi Zhou. Outline. Introduction 1. What is PRIMES 2. Algorithms for PRIMES before AKS AKS algorithm 1 . Basic idea 2. Notation and Preliminaries 3. The algorithm and its correctness 4. Time complexity analysis

346 views • 20 slides

Cryptography and Network Security Chapter 8

413 views • 18 slides

RSA Encryption

RSA Encryption. William Lu. RSA Background. Basic technique first discovered in 1973 by Clifford Cocks of CESG (part of British GCHQ) Invented in 1977 by Ron Rivest, Adi Shamir and Len Adleman. RSA Uses. Public key encryption Digital signatures. RSA Algorithm.

548 views • 14 slides

CMSC 203 / 0201 Fall 2002

299 views • 13 slides

Numerical Algorithms

335 views • 12 slides

NASH EQUILIBRIUM

370 views • 12 slides

Prime Algorithms

257 views • 12 slides

Chapter 8

Chapter 8. More Number Theory. Prime Numbers. Prime numbers only have divisors of 1 and itself They cannot be written as a product of other numbers Prime numbers are central to number theory Any integer a > 1 can be factored in a unique way as a = p1 a1 * p 2 a2 * . . . * p p1 a1

300 views • 12 slides

Modular Arithmetic

360 views • 11 slides

Mathematics

91 views • 1 slides