Author: Publisher:
ISBN:
Category : Electronic government information
Languages : en
Pages : 104
Book Description
1992 Census of Wholesale Trade
Author: Publisher:
ISBN:
Category : Electronic government information
Languages : en
Pages : 104
Book Description
Factorization and Primality Testing
Author: David M. BressoudPublisher:
ISBN: 9783540970408
Category : Factorization (Mathematics)
Languages : en
Pages : 237
Book Description
Primality Testing and Integer Factorization in Public-Key Cryptography
Author: Song Y. YanPublisher: Springer Science & Business Media
ISBN: 1475738161
Category : Computers
Languages : en
Pages : 249
Book Description
Primality Testing and Integer Factorization in Public-Key Cryptography introduces various algorithms for primality testing and integer factorization, with their applications in public-key cryptography and information security. More specifically, this book explores basic concepts and results in number theory in Chapter 1. Chapter 2 discusses various algorithms for primality testing and prime number generation, with an emphasis on the Miller-Rabin probabilistic test, the Goldwasser-Kilian and Atkin-Morain elliptic curve tests, and the Agrawal-Kayal-Saxena deterministic test for primality. Chapter 3 introduces various algorithms, particularly the Elliptic Curve Method (ECM), the Quadratic Sieve (QS) and the Number Field Sieve (NFS) for integer factorization. This chapter also discusses some other computational problems that are related to factoring, such as the square root problem, the discrete logarithm problem and the quadratic residuosity problem.
Factorization and Primality Testing
Author: David M BressoudPublisher:
ISBN: 9781461245452
Category :
Languages : en
Pages : 256
Book Description
Factorization and primality testing
Author: Jill R. SchweitzerFactorization and Primality Testing
Author: David M. BressoudPublisher: Springer Science & Business Media
ISBN: 1461245443
Category : Mathematics
Languages : en
Pages : 252
Book Description
"About binomial theorems I'm teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. " - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics. Ancient peoples observed the cycles of nature: the day, the lunar month, and the year, and assumed that each divided evenly into the next. Civilizations as separate as the Egyptians of ten thousand years ago and the Central American Mayans adopted a month of thirty days and a year of twelve months. Even when the inaccuracy of a 360-day year became apparent, they preferred to retain it and add five intercalary days. The number 360 retains its psychological appeal today because it is divisible by many small integers. The technical term for such a number reflects this appeal. It is called a "smooth" number. At the other extreme are those integers with no smaller divisors other than 1, integers which might be called the indivisibles. The mystic qualities of numbers such as 7 and 13 derive in no small part from the fact that they are indivisibles. The ancient Greeks realized that every integer could be written uniquely as a product of indivisibles larger than 1, what we appropriately call prime numbers. To know the decomposition of an integer into a product of primes is to have a complete description of all of its divisors.
Sieving in Primality Testing and Factorization
Author: Vatai EmilPrime Numbers and Computer Methods for Factorization
Author: Hans RieselPublisher: Springer Science & Business Media
ISBN: 1461202515
Category : Mathematics
Languages : en
Pages : 481
Book Description
In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers into their primes. Thus an ancient number-theory concept now plays a crucial role in communication among millions of people who may have little or no knowledge of even elementary mathematics. The independent structure of each chapter of the book makes it highly readable for a wide variety of mathematicians, students of applied number theory, and others interested in both study and research in number theory and cryptography.
The Joy of Factoring
Author: Samuel S. Wagstaff (Jr.)Publisher: American Mathematical Soc.
ISBN: 1470410486
Category : Mathematics
Languages : en
Pages : 311
Book Description
"This book is about the theory and practice of integer factorization presented in a historic perspective. It describes about twenty algorithms for factoring and a dozen other number theory algorithms that support the factoring algorithms. Most algorithms are described both in words and in pseudocode to satisfy both number theorists and computer scientists. Each of the ten chapters begins with a concise summary of its contents. This book is written for readers who want to learn more about the best methods of factoring integers, many reasons for factoring, and some history of this fascinating subject. It can be read by anyone who has taken a first course in number theory." -- Publisher website.
Primes and Programming
Author: P. J. GiblinPublisher: Cambridge University Press
ISBN: 9780521409889
Category : Computers
Languages : en
Pages : 256
Book Description
In this introductory book Dr Giblin describes methods that have been developed for testing the primality of numbers, provides Pascal programs for their implementation, and gives applications to coding.