欧拉函数
本文讨论了有限域上随机矩阵可逆的概率问题。若域有q个元素,矩阵为n×n维,则概率表达式与欧拉函数相关。作者指出该概率随n增大而快速收敛,并对此现象进行了分析。
本文讨论了有限域上随机矩阵可逆的概率问题。若域有q个元素,矩阵为n×n维,则概率表达式与欧拉函数相关。作者指出该概率随n增大而快速收敛,并对此现象进行了分析。
The article explains how the Mersenne Twister pseudorandom number generator, despite its period of 2^19937-1, can be reverse-engineered using linear algebra. By observing 624 consecutive outputs, one can set up a system of linear equations over GF(2) to recover the internal state and predict future outputs.
The article explains how the Mersenne Twister PRNG can be reverse-engineered using linear algebra, specifically by solving a system of linear equations derived from observed outputs to recover the internal state vector.
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