Secure wireless communications using secret sharing and vector coding

A secret sharing is a method to protect the information for security. The information is divided into n shares, and the information is reconstructed from any k shares but no knowledge of it is revealed from k - 1 shares. A physical layer security is a method to yield a favorable receive condition to the destination terminal in wireless communications. In this study, we propose a security scheme using the secret sharing based on systematic Reed Solomon (RS) codes and the physical layer security based on vector coding. The vector coding realizes the physical layer security in one-antenna system over multi-path channels and the secret sharing with systematic RS codes enhances the security.