TY - GEN

T1 - Explicit non-adaptive combinatorial group testing schemes

AU - Porat, Ely

AU - Rothschild, Amir

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=49149086879&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-70575-8_61

DO - 10.1007/978-3-540-70575-8_61

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AN - SCOPUS:49149086879

SN - 3540705740

SN - 9783540705741

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 748

EP - 759

BT - Automata, Languages and Programming - 35th International Colloquium, ICALP 2008, Proceedings

T2 - 35th International Colloquium on Automata, Languages and Programming, ICALP 2008

Y2 - 7 July 2008 through 11 July 2008

ER -