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On the Nonexistence of the Ding-Helleseth-Martinsens Constructions of Almost Difference Set for Cyclotomic Classes of Order 6
Pseudorandom sequences with optimal three-level autocorrelation have
important applications in CDMA communication systems. Constructing the
sequences with three-level autocorrelation is equivalent to finding cyclic
almost difference sets as their supports. In a paper of Ding, Helleseth, and
Martinsen, the authors developed a new method known as the
Ding-Helleseth-Martinsens Constructions in literature to construct the almost
difference set using product set between GF(2) and union sets of cyclotomic
classes of order 4. In this correspondence, we show that there do not exist
such constructions for cyclotomic classes of order 6