Ovoids of the hyperbolic quadric \(Q^+(7,q)\) of \(\textrm{PG}(7, q)\) have been extensively studied over the past 40 years, partly due to their connections with other combinatorial objects. It is well known that the points of an ovoid of \(Q^+(7,q)\) can be parametrized by three polynomials \(f_1(X,Y, Z)\) , \(f_2(X,Y, Z)\) , \(f_3(X,Y, Z)\) . In this paper, we classify ovoids of \(Q^+(7,q)\) of low degree, specifically under the assumption that \(f_1(X,Y, Z)\) , \(f_2(X,Y, Z)\) , \(f_3(X,Y, Z)\) have degree at most 3. Our approach relies on the analysis of an algebraic hypersurface associated with the ovoid.
