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Number-Theoretic Algorithms in Cryptography
Oleg Nikolaevich Vasilenko
出版American Mathematical Soc., 2007
主題Language Arts & Disciplines / Communication StudiesMathematics / Algebra / GeneralMathematics / Number Theory
ISBN08218409089780821840900
URLhttp://books.google.com.hk/books?id=9A8e4u4TQaAC&hl=&source=gbs_api
EBookSAMPLE
註釋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.