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

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书目名称Algorithmic Number Theory影响因子(影响力)




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书目名称Algorithmic Number Theory被引频次




书目名称Algorithmic Number Theory被引频次学科排名




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书目名称Algorithmic Number Theory年度引用学科排名




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deface

存在主义

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.

弓箭

怪物

transient-pain

ELUDE

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.

Living-Will

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.

BOAST

,Das Instrumentieren während 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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