A general construction of E(fNOD)-optimal multi-level supersaturated designs

The present paper deals with E(fNOD)-optimalE(fNOD)-optimal multi-level supersaturated designs. We present a new technique for the construction of supplementary difference sets. Based on the new supplementary difference sets, we also provide E(fNOD)-optimalE(fNOD)-optimal multi-level supersaturated designs with a large number of columns when compared with other designs. Moreover, these designs retain the equal occurrence property.