The present invention discloses a device for generating multiple spreading sequences efficiently. In a preferred embodiment, the eight different spreading sequences are generated in parallel. In this embodiment, the spreading sequence generator comprises a master sequence generator and eight secondary sequence generators. The spreading sequence generator also comprises eight different modulo-2 adders which are used for generating parity check sum outputs. The master sequence generator is responsible for creating a master output from the first subgroup. The secondary sequence generators create eight different secondary outputs. Each of the secondary outputs is combined with the master output through one of the eight modulo-2 adders to create eight different spreading sequences. In an alternative embodiment, the principles of the present invention may be used to generate such spreading sequences in a sequential manner. Both embodiments provide efficiency and power savings over the prior art method and apparatus.