Phase shift pulse codes with good periodic correlation properties

A method of generating phase shift pulse codes of arbitrarily long length with zero periodic correlation except for the peak for zero shift is presented. The codes are of length
p^2
where
p
is any prime number, and
p
different phase shifts corresponding to the
p
th roots of unity are necessary to generate them. Since
p
different phase shifts are required, these codes are not as easy to generate and process as the binary codes, but this does not seem to be a serious limitation to their usefulness. Application of these codes can be made as interpulse phase modulation for range resolution in pulse Doppler radars or for a method of synchronizing a pulse code communication system.