A method for transmitting a random access preamble to a base station at a user equipment (UE) includes generating the random access preamble from a Zadoff-Chu sequence having a length ‘N’ and a root index ‘M’, wherein the random access preamble is defined by a cyclic shift of the Zadoff-Chu sequence and transmitting the generated random access preamble to the base station via a random access channel, wherein the cyclic shift is given by using a variable corresponding to a Doppler shift of one subcarrier spacing, the variable given by using the root index ‘M’, and wherein the cyclic shift is differently given based on whether the variable is smaller than ⅓ of the length ‘N’.