A tripling construction for overlarge sets of KTS

Abstract: An overlarge set of , denoted by , is a collection , where is a -set, each is a and forms a partition of all triples on . In this paper, we give a tripling construction for overlarge sets of . Our main result is that: If there exists an with a special property, then there exists an . It is obtained that there exists an for or , where prime power (mod 12) and . [Copyright &y& Elsevier]