Methods and apparatuses are provided for transmitting and receiving references signals. A method includes receiving a first parameter, which is a cell specific parameter; receiving a second parameter, which is a UE specific parameter; acquiring a first reference signal for a PUSCH, based on the second parameter; acquiring a second reference signal for a PUCCH, based on the first parameter; and transmitting at least one of the first reference signal and the second reference signal. Group sequence hopping is not applied to acquire the first reference signal, if the first parameter indicates that the group sequence hopping is enabled and the second parameter indicates that the group sequence hopping is disabled. The group sequence hopping is applied to acquire the second reference signal, if the first parameter indicates that the group sequence hopping is enabled and the second parameter indicates that the group sequence hopping is disabled.