The effectiveness and reliability in the acquisition, transmission, and processing of information are determined not only by the use of microelectronic components but also by the selection and performance of suitable algorithms for digital signal processing. Rapid technological advancements allow for the implementation of increasingly complex signal processing algorithms in the combination of hardware and software with reasonable effort. This general trend particularly applies to digital pseudo-random signals, which are essential elements of many powerful methods in communication and information technology. A focus is placed on specific time-discrete, periodic signal sequences, whose theoretical investigation and technical application have been prominent since around 1950, initially mainly for tasks related to cosmic applications.