Methods, systems, and devices for wireless communication are described. A user equipment (UE) may separately encode lower priority uplink control information (UCI) and higher priority UCI, and multiplex the encoded lower priority UCI and the encoded higher priority UCI on the same physical uplink channel (e.g., a physical uplink control channel (PUCCH)). The UE may be configured with multiple coding rates, which the UE may select from based on a payload size associated with each of the lower priority UCI and the higher priority UCI. Alternatively, the UE may be configured with a separate set of coding rates for the lower priority UCI and a separate set of coding rates for the higher priority UCI. The UE may multiplex the lower priority UCI and the higher priority UCI by mapping to physical uplink channel resources based on an order (e.g., mapping higher priority UCI followed by mapping lower priority UCI).