2 TURYN-TYPE SEQUENCES: CLASSIFICATION, ENUMERATION AND CONSTRUCTION
Darcy Best, D. Ž. D Oković, Hadi Kharaghani, Hugh Ramp · 2016
Abstract Turyn‐type sequences, , are quadruples of ‐sequences , with lengths , respectively, where the sum of the nonperiodic autocorrelation functions of and twice that of is a δ‐function (i.e., vanishes everywhere except at 0). Turyn‐type sequences are known to exist for all even n not larger than 36. We introduce a definition of equivalence to construct a canonical form for in general. By using this canonical form, we enumerate the equivalence classes of for . We also construct the first example of Turyn‐type sequences .