Group testing is a long studied problem in combinatorics: A small set of r ill people should be identified out of the whole (n people) by using only queries (tests) of the form "Does set X contain an ill human?". In this paper we provide an explicit construction of a testing scheme which is better (smaller) than any known explicit construction. This scheme has Θ(min[r2 ln n, n]) tests which is as many as the best non-explicit schemes have. In our construction we use a fact that may have a value by its own right: Linear error-correction codes with parameters [m,k,δm]q meeting the Gilbert-Varshamov bound may be constructed quite efficiently, in Θ(qkm) time. © 2008 Springer-Verlag.
CITATION STYLE
Porat, E., & Rothschild, A. (2008). Explicit non-adaptive combinatorial group testing schemes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5125 LNCS, pp. 748–759). https://doi.org/10.1007/978-3-540-70575-8_61
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