Combining Compression Functions and Block Cipher-Based Hash Functions.
T. Peyrin, H. Gilbert, F. Muller, and M. Robshaw.
Abstract:

The design of secure compression functions is of vital importance to hash function development. In this paper we consider the problem of combining smaller trusted compression functions to build a larger compression function. This work leads directly to impossibility results on a range of block cipher-based hash function constructions.