Polyphase Barker sequences up to length 36

Originally, Barker (1953) presented binary sequences for synchronization purposes in telecommunications. A sequence is called a generalized Barker sequence if the magnitude of all autocorrelation sidelobes is less or equal to one. It is shown that uniform complex sequences up to length 36, meeting the Barker (1953) condition, do exist. Examples are given for length 32-36. The sequences were obtained with a stochastic optimization algorithm, that was run with properly selected starting vectors.