Some doubly transitive bilinear dual hyperovals and their ambient spaces

We classify the bilinear dual hyperovals over F2F2 of rank nn, which admit a cyclic autotopism group of order 2n−12n−1. This work is a continuation of previous research of S. Yoshiara (2008) where such dual hyperovals were investigated under the additional assumption, that the ambient space has dimension 2n2n.