Design of Sequences with Specified Autocorrelation and Cross Correlation

A method of designing sequences with specified autocorrelation and cross-correlation properties is presented in this paper. This is based on power residue classification of a prime or a prime power and consists of first finding periodic sequences with acceptable correlation sidelobes and then testing these for aperiodic correlation. Signals considered include binary, polyphase, and frequency-time coded sequences. Computer results for some short length sequences are also given.