Finite group schemes over bases with low ramification

Let A' be a complete characteristic (0, p) discrete valuation ring with absolute ramification degree e and a perfect residue field. We are interested in studying the category F F-A' of finite flat commutative group schemes over A' with p-power order. When e = 1, Fontaine formulated the purely `linear algebra' notion of a finite Honda system over A' and constructed an anti-equivalence of categories between F F-A' and the category of finite Honda systems over A' when p > 2. We generalize this theory to the case e less than or equal to p - 1.