ComplexitymeasuresforkeystreammultisequencesoverZ/(N)playacrucialroleindesigninggoodstreamciphersystems.Thiscorrespondenceshowsageneralupperboundonk-errorjointN-adiccomplexityofperiodicmultisequencesoverZ/(N),andestablishestheexistenceofperiodicN-adicmultisequencesoverZ/(N)whichsimultaneouslypossessmaximaljointN-adiccomplexityandlargek-errorjointN-adiccomplexity.UndersomeconditionstheoverwhelmingmajorityofallT-periodicN-adicmultisequencesoverZ/(N)withmaximaljointN-adiccomplexitylogN(NT-1)haveak-errorjointN-adiccomplexityclosetologN(NT-1).