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Construction and application of the binary \(\left({p,r,d} \right)\)-code. (Chinese. English summary) Zbl 1374.94857

Summary: Let \(n\) be a positive integer and let \(\left[ n \right]\) denote \(\left\{ {1, 2, \cdots, n} \right\}\). The binary \(\left({p, r, d} \right)\)-superimposed code is constructed by the family \(\left({\left({_s^n} \right)} \right)\) of \(s\)-sets of \(\left[ n \right]\). We study its error tolerance and disjunctive properties and introduce its application in nonadaptive group testing.

MSC:

94B25 Combinatorial codes
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