Generating multiplicative pseudo-noise codes to support multiple data rates

In this paper, we propose a unique set of pseudo noise (PN) codes, such that a large PN code can be split into two smaller PN codes. This allows a radio, to use both the large and the small PN codes, depending upon the desired code length if the large PN code is loaded into the radio. We refer to these codes as multiplicative PN codes. These codes would be especially useful in networks consisting of a master device connected to multiple slave devices. These codes enable slaves devices in the network to encode data with different PN codes of different lengths to trade off data rate and data integrity and yet be able to communicate with the master device. We first describe our motivation and methodology for generating multiplicative PN codes and then present an algorithm to span through the space of PN codes to provide a set with the maximum number of well-bounded multiplicative PN Codes. Our implementation results confirm the existence of a large number of such multiplicative PN codes