The complete classification of right unimodal and bimodal hypersurface singularities over a field of positive characteristic was given by H. D. Nguyen in form of a classifier, which allows the concrete classification from the given equation in a step by step procedure. The aim of this article is to characterize right unimodal and bimodal hypersurface singularities of corank
![$ \leq 2$](img42.png)
by means of easy computable invariants such as the multiplicity, the Milnor number of the given equation and its blowing up. We also give a description of the algorithm to compute the type of right unimodal and bimodal hypersurface singularities without computing the normal form, which we have implemented in the computer algebra system S
INGULAR.