Recursive construction of the generator for Lagrangian gauge symmetries

We obtain, for a subclass of structure functions characterizing a first-cla ss Hamiltonian system, recursive relations from which the general form of t he local symmetry transformations can be constructed in terms of the indepe ndent gauge parameters. We apply this to a non-trivial Hamiltonian system i nvolving two primary constraints, as well as two secondary constraints of t he Nambu-Goto type. We also illustrate for a pure Chern-Simons theory how t his formalism can be extended to a system with first- and second-class cons traints.