Aperiodic correlations and the merit factor of a class of binary sequences (Corresp.)

A class of binary sequences of length
N = 2^{m}
is considered, and it is shown that their aperiodic autocorrelations can be calculated recursively in a simple way. Based on this, the merit factor of the sequences is calculated and it is shown that the asymptotic value is
3
. Finally, it is proved that the magnitude of the maximal aperiodic autocorrelation is bounded by
N^{0.9}
.