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Factorization And Primality Testing

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Primality Testing And Integer Factorization In Public Key Cryptography

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Author : Song Y. Yan
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-30

Primality Testing And Integer Factorization In Public Key Cryptography written by Song Y. Yan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Computers categories.

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

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Author : David M. Bressoud
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Factorization And Primality Testing written by David M. Bressoud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

"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.

Factorization And Primality Testing

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Author : David M Bressoud
language : en
Publisher:
Release Date : 1989-10-01

Factorization And Primality Testing written by David M Bressoud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-10-01 with categories.

Prime Numbers And Computer Methods For Factorization

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Author : Hans Riesel
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-23

Prime Numbers And Computer Methods For Factorization written by Hans Riesel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-23 with Mathematics categories.

From the original hard cover edition: 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. Hans Riesel’s highly successful first edition of this book has now been enlarged and updated with the goal of satisfying the needs of researchers, students, practitioners of cryptography, and non-scientific readers with a mathematical inclination. It includes important advances in computational prime number theory and in factorization as well as re-computed and enlarged tables, accompanied by new tables reflecting current research by both the author and his coworkers and by independent researchers. The book treats four fundamental problems: the number of primes below a given limit, the approximate number of primes, the recognition of primes and the factorization of large numbers. The author provides explicit algorithms and computer programs, and has attempted to discuss as many of the classically important results as possible, as well as the most recent discoveries. The programs include are written in PASCAL to allow readers to translate the programs into the language of their own computers. 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.

1992 Census Of Wholesale Trade

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Author :
language : en
Publisher:
Release Date : 1994

1992 Census Of Wholesale Trade written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Electronic government information categories.

Primality Testing And Integer Factorization In Public Key Cryptography

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Author : Song Y. Yan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Factorization And Primality Testing

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Author : David M. Bressoud
language : en
Publisher:
Release Date : 1989-01

Factorization And Primality Testing written by David M. Bressoud and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01 with Factorization (Mathematics) categories.

Mathematics Of Public Key Cryptography

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Author : Steven D. Galbraith
language : en
Publisher: Cambridge University Press
Release Date : 2012-03-15

Mathematics Of Public Key Cryptography written by Steven D. Galbraith and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-15 with Computers categories.

This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.

Factorization And Primality Testing

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Author : Jill R. Schweitzer
language : en
Publisher:
Release Date : 1998

Factorization And Primality Testing written by Jill R. Schweitzer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.

The Algorithm Design Manual

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Author : Steven S Skiena
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05

The Algorithm Design Manual written by Steven S Skiena and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-05 with Computers categories.

This newly expanded and updated second edition of the best-selling classic continues to take the "mystery" out of designing algorithms, and analyzing their efficacy and efficiency. Expanding on the first edition, the book now serves as the primary textbook of choice for algorithm design courses while maintaining its status as the premier practical reference guide to algorithms for programmers, researchers, and students. The reader-friendly Algorithm Design Manual provides straightforward access to combinatorial algorithms technology, stressing design over analysis. The first part, Techniques, provides accessible instruction on methods for designing and analyzing computer algorithms. The second part, Resources, is intended for browsing and reference, and comprises the catalog of algorithmic resources, implementations and an extensive bibliography. NEW to the second edition: • Doubles the tutorial material and exercises over the first edition • Provides full online support for lecturers, and a completely updated and improved website component with lecture slides, audio and video • Contains a unique catalog identifying the 75 algorithmic problems that arise most often in practice, leading the reader down the right path to solve them • Includes several NEW "war stories" relating experiences from real-world applications • Provides up-to-date links leading to the very best algorithm implementations available in C, C++, and Java

Factorization And Primality Testing

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