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- W2618482016 abstract "There are numerous cryptosystems whose security is based on the di�culty ofsolving the discrete logarithm problem. . Several algorithms using number �eld sievehave been given to factor a number n in heuristic expected time Ln[1=3; c]. In mythesis I will introduce some general attacks on discrete logarithm problem includingthe modern method of number �eld sieve and the mathematical aspects behind it.I have concentrated her the basic foundations of algebraic number theory which arethe building blocks of the number �eld sieve algorithm. And also I have studied thenotions of a virtual logarithm of a prime �eld in a number ring and schirokauer'smaps which Joux and Lercier recently have used to compute the logarithms in aprime �eld of a 120 decimal digits." @default.
- W2618482016 created "2017-06-05" @default.
- W2618482016 creator A5011498929 @default.
- W2618482016 date "2014-01-01" @default.
- W2618482016 modified "2023-10-17" @default.
- W2618482016 title "Introduction of Discrete LogarithmProblem and MathematicalAspects of Modern Number FieldSieve Method of Solving DiscreteLogarithm in Finite Field" @default.
- W2618482016 hasPublicationYear "2014" @default.
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