Super orthogonal chaos codes with primitive roots

Abstract

In 5G/6G, it is important for massive machine-type communications (mMTC) that each device’s signal does not interfere with others. The correlation properties of spreading codes in code division multiple access (CDMA) are important to achieve this. In this study, we propose a code that can be obtained by multiplying multiple primitive root codes to achieve mMTC and demonstrate that an appropriate set of codes achieves perfect orthogonality. Simulations of CDMA using the proposed codes show a significant decrease of bit error rate compared to Gold codes and random codes.