Chandler, D.B.Xiang, Qing2005-02-172005-02-172002http://udspace.udel.edu/handle/19716/333By modifying the constructions in [10] and [15], we construct a family of cyclic ((q 3k − 1)/(q − 1), q − 1, q 3k − 1 , q 3k − 2 ) relative difference sets, where q = 3 e . These relative difference sets are “liftings” of the difference sets constructed in [10] and [15]. In order to demonstrate that these relative difference sets are in general new, we compute p-ranks of the classical relative difference sets and 3-ranks of the newly constructed relative difference sets when q = 3. By rank comparison, we show that the newly constructed relative difference sets are never equivalent to the classical relative difference sets, and are in general inequivalent to the affine GMW difference sets.284058 bytesapplication/pdfen-USAffine GMW difference setGauss sumRelative difference setSinger difference setStickelberger’s theoremTeichmuller characterTechnical Report