## Abstract

In the error detection/correction version of the problem, some group tests are permitted to report “false positives”; an a priori bound q on the number of such false positives is assumed. 56.23 Theorem [147, 764] (V, B) is a solution to the strict group testing problem with threshold p and error detection (correction) for q false positives if and only if, for every union of p or fewer blocks, every other block contains at least q + 1 (2q + 1, respectively) points not in this union. Hence, any packing (V, B) of t-sets into k-sets having k ≥ p(t − 1) + q + 1 (k ≥ p(t − 1) + 2q + 1, respectively) is a solution to the strict group testing problem with threshold p and error detection (correction, respectively) for q false positives.

Original language | English (US) |
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Title of host publication | Handbook of Combinatorial Designs, Second Edition |

Publisher | CRC Press |

Pages | 629-633 |

Number of pages | 5 |

ISBN (Electronic) | 9781420010541 |

ISBN (Print) | 9781584885061 |

State | Published - Jan 1 2006 |

## ASJC Scopus subject areas

- Mathematics(all)
- Computer Science(all)