In Discret Math 337:65–75, 2014, we construct a bilinear dual hyperoval called $${\mathcal {S}}_c(l,GF(2^r))$$ , or simply $${\mathcal {S}}_c$$ , for $$rl\ge 4$$ and $$c\in GF(2^r)$$ with $$Tr(c)=1$$ . In this note, we modify the bilinear mapping of $${\mathcal {S}}_c$$ for $$l \ge 2$$ using multiplications of presemifields, and have a dual hyperoval $${\mathcal {S}}_{c}^{'}$$ from this bilinear mapping. We also investigate on the isomorphism problems of these dual hyperovals under the conditions that $$c\ne 1$$ and the presemifields are not isotopic to commutative presemifields (see Theorem 2 for precise statement), and see that, under these conditions, $${\mathcal {S}}_{c}^{'}$$ is not isomorphic to the dual hyperovals in Taniguchi (Discret Math 337:65–75, 2014).