Notes on A Preimage-Resistant Hash Function

Bérczes, Folláth and Pethő constructed a preimage-resistant hash function. In this paper to investigate the avalanche criterion of this function, we will generalize the results of Coulter and Mathews regarding planar polynomials. At the same time a necessary and sufficient condition for being planar is given for Dembowski-Ostrom monomials. In the even characteristic case both a weaker asymptotic statement and practical test results are presented regarding the avalanche criterion.