Abstract

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} .

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