Home » Number-Theoretic Algorithms in Cryptography by O. N. Vasilenko
Number-Theoretic Algorithms in Cryptography O. N. Vasilenko

Number-Theoretic Algorithms in Cryptography

O. N. Vasilenko

Published January 1st 2007
ISBN : 9780821840900
Hardcover
243 pages
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 About the Book 

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 followingMoreAlgorithmic 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.