破解 lehmer64 随机数生成器
本文介绍了如何破解 lehmer64 随机数生成器。该生成器实现非常简单,Daniel Lemire 称其为“最快的随机数生成器之一”。与之前破解梅森旋转算法(Mersenne Twister)的方法类似,作者展示了如何从 640 个输出流中恢复 lehmer64 的内部状态。文章详细分析了该生成器的数学结构及其安全隐患。
本文介绍了如何破解 lehmer64 随机数生成器。该生成器实现非常简单,Daniel Lemire 称其为“最快的随机数生成器之一”。与之前破解梅森旋转算法(Mersenne Twister)的方法类似,作者展示了如何从 640 个输出流中恢复 lehmer64 的内部状态。文章详细分析了该生成器的数学结构及其安全隐患。
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.
The article details the process of reverse engineering the network protocol used by the mobile game Slither.io on iOS. It covers how the author captured and analyzed network traffic to understand the communication between the client and server, including message formats and encryption methods.
The post discusses Euler's function within the framework of q-series and integer partitions, exploring how the product form of Euler's function relates to generating functions for partitions and its connections to combinatorial identities.