The Mersenne Twister (MT) is a random number generator with strong statistical but weak cryptographic properties. This post demonstrates how to recover the internal state of an MT generator from its output using linear algebra, contrasting this approach with the usual bit twiddling method.
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.