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Titlebook: Algorithmic Number Theory; 7th International Sy Florian Hess,Sebastian Pauli,Michael Pohst Conference proceedings 2006 Springer-Verlag Berl

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樓主
發(fā)表于 2025-3-21 17:13:30 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Algorithmic Number Theory
期刊簡稱7th International Sy
影響因子2023Florian Hess,Sebastian Pauli,Michael Pohst
視頻videohttp://file.papertrans.cn/154/153004/153004.mp4
學(xué)科分類Lecture Notes in Computer Science
圖書封面Titlebook: Algorithmic Number Theory; 7th International Sy Florian Hess,Sebastian Pauli,Michael Pohst Conference proceedings 2006 Springer-Verlag Berl
Pindex Conference proceedings 2006
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沙發(fā)
發(fā)表于 2025-3-21 21:35:23 | 只看該作者
板凳
發(fā)表于 2025-3-22 03:18:50 | 只看該作者
Use of Extended Euclidean Algorithm in Solving a System of Linear Diophantine Equations with Boundedeter. This is used progressively by reducing a . variable problem into a two variable problem. Computational experiments indicate that for a given number of variables the running times decreases with the increase in the number of equations in the system.
地板
發(fā)表于 2025-3-22 07:55:28 | 只看該作者
5#
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發(fā)表于 2025-3-22 20:02:08 | 只看該作者
A Modular Method for Computing the Splitting Field of a Polynomialreduces the computation of .. to solving systems of linear equations modulo some powers of . and Hensel liftings. We provide a careful treatment on reducing computational difficulty. We examine the ability/practicality of the method by experiments on a real computer and study its complexity.
8#
發(fā)表于 2025-3-23 00:44:33 | 只看該作者
Practical Lattice Basis Sampling Reduction[||.||. ≤.] provided . is randomly sampled from .’s search space. We describe two algorithms that estimate the probability that a further . iteration will find an even shorter vector, one algorithm based on our formula for Pr[||.||. ≤.], the other based on the approach of Schnorr’s . analysis. Finally, we report on some cryptographic applications.
9#
發(fā)表于 2025-3-23 04:04:35 | 只看該作者
,Das Instrumentieren w?hrend der Operation, number of heuristics. In particular, we present data which supports some of the Cohen-Lenstra heuristics [8], Littlewood’s bounds on .(1,.) [14], and Bach’s bound on the maximum norm of the prime ideals required to generate the class group [1].
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發(fā)表于 2025-3-23 09:26:18 | 只看該作者
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