Frameproof codes with tracing baleful users' property are often used for copyright and piracy tracing. Researcher used a kind of function family satisfying some special properties to construct several kinds of anti-pirate codes. Frameproof code is a kind of anti-pirate code. The frame-proof codes are used in copyright protecting. Motivated by the method of constructing frame-proof codes coined by researcher, in this paper, the authors introduced new combinatorial designs which in fact generalized the difference function family introduced by researcher. The new designs can be constructed from difference matrix efficiently. By using the new designs they construct more larger number of frame-proof codes.