Kangaroos, monopoly and discrete logarithms

被引：70

作者：

Pollard, JM

机构：

[1] Tidmarsh Cottage, Tidmarsh, Reading RG8 8EX, Manor Farm Lane

来源：

JOURNAL OF CRYPTOLOGY | 2000年 / 13卷 / 04期

关键词：

discrete logarithms; kangaroo method;

D O I：

10.1007/s001450010010

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The kangaroo method computes a discrete logarithm in an arbitrary cyclic group, given that the value is known to lie in a certain interval. A parallel version has been given by van Oorschot and Wiener with "linear speed-up". We improve the analysis of the running time, both for serial and parallel computers. We explore the variation of the running time with the set of "jumps" of the kangaroos, and confirm that powers of two are a good choice (we do not claim they are the best choice). We illustrate the theory with some calculations of interest to Monopoly players, and the method itself with a card trick due to Kruskal.

引用

页码：437 / 447

页数：11

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