科研之友
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摘要
Super-simple designs are useful in constructing codes and designs such as superimposed codes and perfect hash families. Recently, Gronau et al. determined the existence of super-simple(v, 5, 2)-BIBDs with possible exceptions of nu epsilon 175, 95, 115, 135, 195, 215, 231, 285, 365, 385, 515). In this article, we investigate the existence of a super-simple (v, 5, 4)-BIBD and show that such a design exists if and only if v 0, 1 (mod 5) and v >= 15. In addition, we also constructed a super-simple (v, 5, 2)-BIBD for v = 75, 95, or 385.
