Off-shell N=(1,0) linear multiplets in six dimensions

We provide a tensor calculus for n-number of N=(1,0) linear multiplets in six dimensions. The coupling of linear multiplets is encoded in a function FIJ that is subject to certain constraints. We provide various rigid and local supersymmetric models depending on the choice of the function FIJ and provide an interesting off-diagonal superinvariant, which leads to an R2 supergravity upon elimination of auxiliary fields.