  We define a multiaccess communication scheme that effectively eliminates
interference and resolves collisions in many-to-one and many-to-many
communication scenarios. Each transmitter is uniquely identified by a steering
vector. All signals issued from a specific transmitter will be steered into the
same single-dimensional or double-dimensional subspace at all receivers hearing
this transmission. This subspace is orthogonal to the noise subspace at a
receiver and the signals within the subspace can be extracted using the
root-MUSIC method. At high SNR, local channel knowledge and strict
synchronization, the algorithm asymptotically achieves full network capacity on
condition that a channel remains constant within a single time slot. Without
synchronization, the worst case asymptotic performance is still greater than
the $50\%$ throughput achieved by collision resolution algorithms and
interference management techniques like interference alignment.
