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Number-theoretic Algorithms in Cryptography.
・ISBN 978-0-8218-4090-0 hard US$ 89.00
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| 著者・編者 | American Mathematical Society, |
|---|---|
| シリーズ | Translations of Mathematical Monographs |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2006 |
| ページ数 | 243 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15386＞ |
解説
Algorithmic number theory is a rapidly developing branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. Among the algorithms used in cryptography, the following are especially important: algorithms for primality testing; factorization algorithms for integers and for polynomials in one variable; applications of the theory of elliptic curves; algorithms for computation of discrete logarithms; algorithms for solving linear equations over finite fields; algorithms for performing arithmetic operations on large integers. The book describes the current state of these and some other algorithms. It also contains extensive bibliography. For this English translation, additional references were prepared and commented on by the author.