Cryptanalysis of a class of cryptographic hash functions

We apply new cryptanalytical techniques to perform the generic multi-block multicollision, second preimage and herding attacks on the Damg̊ard-Merkle hash functions with linear-XOR/additive checksums. The computational work required to perform these attacks on the Damg̊ard-Merkle hash functions with linear-XOR/additive checksum of message blocks (GOST), intermediate states (3C, MAELSTROM-0, F-Hash) or both is only a little more than what is required on the Damg̊ard-Merkle hash functions. Our generic attacks on GOST answers the open question of Hoch and Shamir at FSE 2006 on the security of the iterated hash functions with the linear mixing of message blocks.