An OACF-Preserving Operation Based on Parker’s Transformation
Geyang Wang, Qi Wang · 2019
Binary sequences with low odd-periodic correlation magnitudes have found important applications in communication systems. It is well known that the three operations, negacyclic shift, decimation, and negation, preserve the odd-periodic autocorrelation function (OACF) in general. In this paper, we define a new operation based on Parker's transformation, which also preserves the OACF of binary sequences. This enables us to classify Parker's 16 cases into 8 ones, and may possibly further allow to classify all constructions based on Parker's transformation.