models (see, e.g. \[21\] for details). The central theme of our present investigation is to derive the SUSP [*dual*]{} unitary operators (from the above universal [*unitary*]{} operators). The derivation of the unitary SUSP operators is important because the group structure of the theory is maintained and it remains [*explicit*]{} throughout the whole discussion within the framework of AVSF. The forms of this SUSP unitary operators were [*first*]{} suggested in an earlier work on the superfield approach to the non-Abelian 1-form gauge theory \[7\]. These expressions, however, were intuitively chosen but not derived theoretically. Moreover, the Hermitian conjugate unitary operator, corresponding to the chosen SUSP unitary operator, was derived after imposing some [*outside*]{} conditions on the fields and Grassmannian variables (of the SUSP unitary operator).

In our present investigation, we have derived the [*dual*]{} SUSP unitary operators (i.e. SUSP dual unitary operator and its Hermitian conjugate) which provide the alternatives to the dual horizontality condition (DHC) and dual gauge invariant restrictions (DGIRs). This derivation is a completely [*new*]{} result because it leads to the derivation of the nilpotent and absolutely anticommutating (anti-)co-BRST symmetry transformations which have been derived earlier within the framework of superfield approach where the DHC and DGIRs have 