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math.NT2019
The mean and variance of the reciprocal merit factor of four classes of binary sequences
Jonathan Jedwab
The merit factor of a binary sequence measures the collective smallness of its non-trivial aperiodic autocorrelations. Binary sequences with large merit factor are impo…
math.CO2019
Three-phase Golay sequence and array triads
Aki Ayukawa Avis, Jonathan Jedwab
3-phase Golay sequence and array triads are a natural generalisation of 2-phase Golay sequence pairs, yet their study has until now been largely neglected. We present exhaustive se…