二元(p,r,d)-码的构作及其应用

Construction and Application of the Binary(p,r,d)-code

令n是一个正整数,[n]={1,2,…,n}.利用集合[叫上的s-子集族((ns))构作了二元(p,r,d)-叠加码,研究了它的容错和析取性质并介绍了它在非适应性群测(Nonadaptive Group Testing)方面的应用.

Let n be a positive integer and let [n] denote {1, 2,... , n}. The Binary （p, r, d）- superimposed code is coastructed by the family （（s n ）） of s＇sets of [n]. We study its error tolerance and disjunctive properties and introduce its application in nonadaptive group testing.