  We present a framework of a multimode dense coding network with multiple
senders and a single receiver using continuous variable systems. The protocol
is scalable to arbitrary numbers of modes with the encoding being displacements
while the decoding involves homodyne measurements of the modes after they are
combined in a pairwise manner by a sequence of beam splitters, thereby
exhibiting its potentiality to implement in laboratories with currently
available resources. We compute the closed form expression of the dense coding
capacity for the cases of two and three senders that involve sharing of three-
and four-mode states respectively. The dense coding capacity is calculated with
the constraint of fixed average energy transmission when the modes of the
sender are transferred to the receiver after the encoding operation. In both
the cases, we demonstrate the quantum advantage of the protocol using
paradigmatic classes of three- and four-mode states. The quantum advantage
increases with the increase in the amount of energy that is allowed to be
transmitted from the senders to the receiver.
