Extended hyperbolic congruential frequency hop code: generation and bounds for cross- and auto-ambiguity function

We propose a new frequency hop code, called the extended hyperbolic congruential (EHC) code. The properties of the code, determined via hit array analysis, indicate almost ideal cross- and auto-ambiguity characteristics. Furthermore, the code can be defined recursively, enabling a simple hardware implementation. This makes the code attractive for code division multiple access (CDMA) communication systems.