Algorithmic number theory is a branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. This book describes the various algorithms used in cryptography. Series: Translations of Mathematical Monographs Reprint. Num Pages: 243 pages. BIC Classification: PBH; UYA. Category: (P) Professional & Vocational. Weight in Grams: 617. . 2006. Hardcover. . . . .

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Bibliographic Details

Title: Number-theoretic Algorithms in Cryptography (Translations of Mathematical Monographs)
Publisher: American Mathematical Society
Publication Date: 2006
Language: English
ISBN 10: 0821840908
ISBN 13: 9780821840900
Binding: Hardcover
Condition: New

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Synopsis

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.

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