An improved method and apparatus is described for using a direct sequence spread spectrum (DSSS) system that takes advantage of multiplicative pseudo-noise codes (PN-Codes) in order to wirelessly connect multiple peripherals in a computer system at different data rates. The use of multiplicative PN-Codes allows the system to use multiple-length PN-Codes within the same system while minimizing the hardware needed to implement such a system. The improved method and apparatus also uses an identifier in the transmitted packet header in order to communicate the choice of PN-Code to the receiver. By using multiple-length PN-Codes in conjunction with an identifier in the packet header the improved method and apparatus allows for remote peripherals to choose a suitable data rate on a packet-by-packet basis while minimizing the system complexity.