A method for transmitting a random access preamble to a base station includes generating the random access preamble from a Zadoff-Chu (ZC) sequence having a length N, wherein the random access preamble is generated by considering a cyclic shift of the ZC sequence; and transmitting the random access preamble to the base station, wherein the cyclic shift is given by using a variable M corresponding to a Doppler shift of one subcarrier spacing, and wherein parameters associated with defining the cyclic shift are differently defined based on whether the variable M is less than ⅓ of the length N.