Sonic Boom Reduction will be an issue of utmost importance in future supersonic carriers, due to strong regulations on acoustic nuisance. The present work introduces a technique for optimizing the aerodynamical performan- ce and the sonic boom production, through optimal shape design. Based in a so-called CAD-free parametrization method, which relies on the discretized shape by working in a parameter space determined by the skin nodes physical location, this methodology introduces several distinctive features. First, an additive multilevel optimization preconditioner is designed, which both smoothes the iterated shape and speeds up the optimization convergence. Second, the sonic boom is reduced indirectly by reducing what we call the sonic boom emission. Third, an ad-hoc simple cost functional is constructe- d which considers both aerodynamical parameters and sonic boom emission.