The performance of randomly precoded integer-forcing equalization for communication over the compound multiple-input multiple-output channel is investigated.
Assuming the precoding matrix is drawn from the circular unitary ensemble, explicit lower and upper bounds on the  outage probability are presented for the case of a system with two transmit antennas. The derived lower bound is also extended to random space-time precoding, which may serve as a useful benchmark for assessing the relative merits of various algebraic space-time precoding schemes.