New dimensional dual hyperovals, which are not quotients of the classical dual hyperovals

Let d≥2d≥2. If dd-dimensional dual hyperoval exists in V(n,2)V(n,2) (nn-dimensional vector space over GF(2)GF(2)), then 2d+1≤n≤(d+1)(d+2)/2+22d+1≤n≤(d+1)(d+2)/2+2 (Yoshiara  [15], 2004), and it is conjectured that n≤(d+1)(d+2)/2n≤(d+1)(d+2)/2. In V((d+1)(d+2)/2,2)V((d+1)(d+2)/2,2), there are four known non-isomorphic dd-dimensional dual hyperovals. These are the Huybrechts dual hyperoval (Huybrechts  [5], 2002), the Buratti–Del Fra dual hyperoval (Buratti–Del Fra  [1], 2003), (Del Fra and Yoshiara  [2], 2005), (Taniguchi and Yoshiara  [13], 2012), the Veronesean dual hyperoval (Thas and van Maldeghem  [14], 2004, Yoshiara  [15], 2004) and the deformation of Veronesean dual hyperoval (Taniguchi  [9], 2009). Many of the known dual hyperovals in V(n,2)V(n,2) for 2d+2