  Considering a bosonic ($1$-)form-valued $k$-form with a second-order
Lagrangian dynamics [depending on two arbitrary real constants] we firstly
perform the Dirac analysis. The procedure implies a partition of cardinally
seven for the plane of the real parameters that label the starting Lagrangian.
In each of the seven partition's components one determines the number and the
nature of independent degrees of freedom and also a generating set of gauge
transformations. Secondly, with the help of some auxiliary gauge/matter tensor
gauge fields, in each of the seven situations, we construct the first-order
Lagrangian density corresponding to the second-order one.
