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Number-Theoretic Algorithms in Cryptography

Number-Theoretic Algorithms in Cryptography PDF Author: Oleg Nikolaevich Vasilenko
Publisher: American Mathematical Soc.
ISBN: 9780821840900
Category : Language Arts & Disciplines
Languages : en
Pages : 274

Book Description
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; and, 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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