In the operation 210, the processing circuit 117 may establish a connection with the first member device 120 through the host-side communication circuit 111, and may decide a first parameter P1 and generate a first privileged pairing notice. In one embodiment, the processing circuit 117 may generate a first predetermined value, a first random value, a first predetermined address, a first random address, a first predetermined string, a first random string, a first predetermined token, a first random token, or a first access address corresponding to the first member device 120 to be the first parameter P1. In another embodiment, the processing circuit 117 may opt to use the content of a predetermined field in a certain Bluetooth packet transmitted from the first member device 120 to the Bluetooth host device 110 to be the first parameter P1, or may instead opt to use the content of a predetermined field in a certain Bluetooth packet transmitted from the Bluetooth host device 110 to the first member device 120 to be the first parameter P1. For example, the processing circuit 117 may opt to use an initial value of a cyclic redundancy check (CRCInit), a window size (WinSize), a window offset (WinOffset), a connection event interval (Connection Interval), a slave latency, a timeout value, a channel map, a hop, or a sleep clock accuracy (SCA) in a connection indication (Connect_IND) packet or in an auxiliary connection request (AUX_Connect_REQ) packet generated by the processing circuit 117 to be the first parameter P1. For another example, the processing circuit 117 may opt to use the value of the cyclic redundancy check (CRC) in the aforementioned connection indication (Connect_IND) packet or auxiliary connection request (AUX_Connect_REQ) packet to be the first parameter P1. For another example, the processing circuit 117 may opt to use the value of the cyclic redundancy check (CRC) in an auxiliary connection response (AUX_Connect_RSP) packet or in a specific Bluetooth advertising packet generated by the first member device 120 to be the first parameter P1. The processing circuit 117 may also transmit the first privileged pairing notice to the first member device 120 through the host-side communication circuit 111 in the operation 210. Additionally, in the operation 210, the processing circuit 117 may also transmit the first parameter P1 or a first field indication to the first member device 120 through the host-side communication circuit 111, wherein the first field indication is utilized for indicating a specific packet field whose content is to be utilized as the first parameter P1.