Methods and apparatuses are provided for transmitting and receiving references signals. A method includes transmitting a first parameter and a second parameter, which are cell specific parameters; transmitting a third parameter, which is a UE specific parameter; transmitting a CSI; and receiving at least one of a first reference signal, which is generated based on the CSI, for a PUSCH and a second reference signal for a PUCCH. The first reference signal is generated by not applying sequence hopping and group sequence hopping, 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 second reference signal is generated by applying the group sequence hopping, 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.