Methods and apparatuses are provided for transmitting and receiving references signals. A method includes receiving first and second cell specific parameters; receiving a third UE specific parameter; acquiring a first reference signal for a PUSCH, based on the third 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. Sequence hopping and group sequence hopping are disabled for the first 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 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 third parameter indicates that the sequence hopping and the group sequence hopping are disabled.