Cross-correlation properties of some perfect binary sequences

The cross-correlation function between a pair of Hyperoval sequences is investigated. For odd n, the cross-correlation functions between Gordon-Mills-Welch (GMW) sequences and decimated Hyperoval sequences with one particular exponent is studied. They show that the calculation of the cross-correlation functions between a pair of Hyperoval sequences, and GMW sequences a decimated Hyperoval sequences with one particular exponent can be reduced to the calculation of the cross-correlation between m-sequences and their decimations.