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
Factorization and Primality Testing
Author: David M BressoudPublisher:
ISBN: 9781461245452
Category :
Languages : en
Pages : 256
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: Jill R. SchweitzerSieving in Primality Testing and Factorization
Author: Vatai EmilPrimality Testing for Beginners
Author: Lasse Rempe-GillenPublisher: American Mathematical Soc.
ISBN: 0821898833
Category : Mathematics
Languages : en
Pages : 258
Book Description
How can you tell whether a number is prime? What if the number has hundreds or thousands of digits? This question may seem abstract or irrelevant, but in fact, primality tests are performed every time we make a secure online transaction. In 2002, Agrawal, Kayal, and Saxena answered a long-standing open question in this context by presenting a deterministic test (the AKS algorithm) with polynomial running time that checks whether a number is prime or not. What is more, their methods are essentially elementary, providing us with a unique opportunity to give a complete explanation of a current mathematical breakthrough to a wide audience. Rempe-Gillen and Waldecker introduce the aspects of number theory, algorithm theory, and cryptography that are relevant for the AKS algorithm and explain in detail why and how this test works. This book is specifically designed to make the reader familiar with the background that is necessary to appreciate the AKS algorithm and begins at a level that is suitable for secondary school students, teachers, and interested amateurs. Throughout the book, the reader becomes involved in the topic by means of numerous exercises.
Primality Testing and Integer Factorization in Public-Key Cryptography
Author: Song Y. YanPublisher: Springer Science & Business Media
ISBN: 9781402076497
Category : Computers
Languages : en
Pages : 282
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.
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.
Author: Samuel Trieu Nguyen