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Optimal Pooling Matrix Design for Group Testing with Dilution (Row Degree) Constraints

Optimal Pooling Matrix Design for Group Testing with Dilution (Row Degree) Constraints

In this paper, we consider the problem of designing optimal pooling matrix for group testing (for example, for COVID-19 virus testing) with the constraint that no more than $r>0$ samples can be pooled together, which we call "dilution constraint". This problem translates to designing a matrix with elements being either …