The Triple Autocorrelation of an ${m}$-Sequence is a Lempel Costas Array
Konstantinos E. Drakakis, Roderick Gow, Scott Rickard · IEEE Transactions on Information Theory · 2012
The triple autocorrelation of a sequence is shown to be a Lempel Costas array iff the sequence is maximal, assuming correlation is appropriately defined and the alphabet of the sequence is of prime size. A method that allows the construction of thumbtack autocorrelation sequences of arbitrary alphabet size is subsequently proposed.