The disclosure relates to a precoding device (300) for cancelling asymmetrically known interference, the precoding device (300) comprising: a first transmitter node (Tx1) configured to generate a first input signal (X1) carrying a first message (cW1) intended for transmission to a first reception node (Rx1); a second transmitter node (Tx2) configured to generate a second input signal (X2) carryinga second message (CW2) intended for transmission to the first reception node (Rx1) and an interference signal (X) intended for transmission to another reception node (Rx2), wherein the interference signal (X) is an asymmetrically known interference signal that is known to the second transmitter node (Tx2) and unknown to the first transmitter node (Tx1), wherein the second transmitter node (Tx2) comprises: an interference canceller (305) configured to cancel part of the interference signal (X) to generate a partially cancelled interference signal (Xc), and a precoder (303), configured to use alattice-based precoding scheme to precode the second message (W2) with the non-cancelled part (Xnc) of the interference signal (X) to generate a precoded signal (X2W), wherein the second transmitternode (Tx2) is configured to generate the second input signal (X2) based on the partially cancelled interference signal (Xc) and the precoded signal (X2W).