Methods and apparatuses are provided for transmitting and receiving references signals. A method includes receiving a first parameter and a second parameter, which are cell specific parameters; receiving a third parameter, which is a UE specific parameter; receiving a cyclic shift indicator (CSI) indicating a cyclic shift for a sequence and an orthogonal covering code; acquiring the reference signal for a physical uplink shared channel (PUSCH), based on the third parameter and the CSI; and transmitting the reference signal on the PUSCH. Sequence hopping and group sequence hopping are disabled for the reference signal, regardless of values of the first parameter and the second parameter, if the third parameter indicates that the sequence hopping and the group sequence hopping are disabled. The sequence hopping includes hopping between two sequences in a group, and the group sequence hopping includes hopping among different groups.