Apparatus, methods, and computer-readable media for managing HARQ-ACK processes in wireless user equipment (UEs) allow selective compression of HARQ-ACK information within HARQ-ACK codebooks. A wireless base station may transmit control information including scheduling information for K downlink transport blocks for a UE, and may signal bundling rules for selectively compressing an original HARQ-ACK codebook of size K into a constrained HARQ-ACK codebook of size N