  The Pursley-Sarwate criterion of a pair of finite complex-valued sequences
measures the collective smallness of the aperiodic autocorrelations and the
aperiodic crosscorrelations of the two sequences. It is known that this
quantity is always at least 1 with equality if and only if the sequence pair is
a Golay pair. We exhibit pairs of complex-valued sequences whose entries have
unit magnitude for which the Pursley-Sarwate criterion tends to 1 as the
sequence length tends to infinity. Our constructions use different carefully
chosen Chu sequences.
