Some Results Using the Matrix Methods on Impossible, Integral and Zero-Correlation Distinguishers for Feistel-Like Ciphers

摘要

While many recent publications have shown strong relations between impossible differential, integral and zero-correlation distinguishers for SPNs and Feistel-like ciphers, this paper tries to bring grist to the mill to this research direction by first, studying the Type-Ⅲ, the Source-Heavy (SH) and the Target-Heavy (TH) Feistel-like ciphers regarding those three kinds of distinguishers. Second, this paper tries to make a link between the matrix methods used to find such distinguishers and the adjacency matrix of the graph of a Feistel-like cipher.