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METHOD AND APPARATUS FOR SOLVING DISCRETE LOGARITHM PROBLEM USING PRE-COMPUTATION TABLE

机译:使用预计算表解决离散对数问题的方法和装置

摘要

A method and apparatus for computing a discrete logarithm using a pre-computation table are provided. The method includes previously generating the pre-computation table consisting of chains of function values obtained by applying an iterating function to a predetermined number of initial values having a generator of the cyclic group as a base and having different exponents; and if a function value obtained by applying the iterating function to a value having a target element as a base and having an exponent is identical to a function value stored in the pre-computation table, computing the discrete logarithm of the target element by using exponent information of the two function values.
机译:提供了一种用于使用预计算表来计算离散对数的方法和设备。该方法包括:预先生成预计算表,该预计算表由通过对预定数量的初始值施加迭代函数而获得的函数值链组成,该初始值以循环组的生成器为基数并且具有不同的指数;如果通过将迭代函数应用于以目标元素为基础并且具有指数的值而获得的函数值与存储在预计算表中的函数值相同,则使用指数计算目标元素的离散对数两个函数值的信息。

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