Primality testing in polynomial time : from randomized algorithms to "primes" is in P /
Publisher description: This book is devoted to algorithms for the venerable primality problem: Given a natural number n, decide whether it is prime or composite. The problem is basic in number theory, efficient algorithms that solve it, i.e., algorithms that run in a number of computational steps wh...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
[2004]
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| Edition: | 1st ed. |
| Series: | Lecture notes in computer science. Tutorial.
Lecture notes in computer science ; 3000. |
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | Publisher description: This book is devoted to algorithms for the venerable primality problem: Given a natural number n, decide whether it is prime or composite. The problem is basic in number theory, efficient algorithms that solve it, i.e., algorithms that run in a number of computational steps which is polynomial in the number of digits needed to write n, are important for theoretical computer science and for applications in algorithmics and cryptology. This book gives a self-contained account of theoretically and practically important efficient algorithms for the primality problem, covering the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal, and Saxena. The textbook is written for students of computer science, in particular for those with a special interest in cryptology, and students of mathematics, and it may be used as a supplement for courses or for self-study. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (x, 147 pages) |
| Bibliography: | Includes bibliographical references (pages 143-144) and index. |
| ISBN: | 3540403442 9783540403449 |
| ISSN: | 0302-9743 ; |