For a binary commutative presemifield S with an element c∈S, we can construct a bilinear dual hyperoval Sc(S) if c satisfies some conditions. Let 512e43ee40c97f8887608a40a3c3e2" title="Click to view the MathML source">c1∈S1 and c2∈S2 for commutative presemifields S1 and S2, and assume c1≠1 or 51ca2505a01cca85d99727a8c02" title="Click to view the MathML source">c2≠1. Then the dual hyperovals e205db3cf52dd09bb4" title="Click to view the MathML source">Sc1(S1) and Sc2(S2) are isomorphic if and only if S1 and S2 are isotopic with some relation between 51dec47a89c03bb256071" title="Click to view the MathML source">c1 and c2 induced by the isotopy. For the Kantor commutative presemifield S=(F,+,∘) with c∈Fn⊂F, the dual hyperoval Sc(S) exists if and only if Tr(c)=1, where Tr is the absolute trace of Fn. The dual hyperovals e205db3cf52dd09bb4" title="Click to view the MathML source">Sc1(S1) and Sc2(S2) for the Kantor commutative presemifields S1 and S2 are (under some conditions) isomorphic if and only if S1 and S2 are isotopic with , where σ is the field automorphism of F defined by the isotopy.