Polyphase Barker sequences up to length 31

Polyphase sequences are finite, complex, time-discrete sequences with constant magnitude and variable phase. A polyphase sequence with elements of magnitude 1 is called a Barker sequence if the maximum magnitude of all sidelobes of their aperiodic autocorrelation function (ACF) is less than or equal to 1. Stochastic optimisation algorithms have been applied to search for polyphase Barker sequences. New sequences meeting the Barker condition up to length 31 have been found.