A method is described for a specific user equipment (UE) to perform a random access to a Node-B within a cell in which a plurality of UEs are located together. The method includes receiving system information for at least one of a basic sequence index and a length of a zero correlation zone (ZCZ) from the Node-B, and transmitting a preamble sequence to the Node-B over a random access channel. The preamble sequence is generated from constant amplitude zero auto-correlation (CAZAC) sequences distinguishable by at least one of the basic sequence index and a length of a cyclic shift (CS) applied to the preamble sequence. The length of the CS applied to the preamble sequence is given by one among a plurality of application lengths determined based on the length of the ZCZ, wherein a number of the plurality of lengths are differently given based on a type of the specific UE, and wherein the system information is the same for all the UEs within the cell regardless of the types of UEs.