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arXiv · 2405.06870

Noise-Tolerant Codebooks for Semi-Quantitative Group Testing: Application to Spatial Genomics

Kok Hao Chen·Duc Tu Dao·Han Mao Kiah·Van Long Phuoc Pham·Eitan Yaakobi
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Abstract

Motivated by applications in spatial genomics, we revisit group testing (Dorfman~1943) and propose the class of $\lambda$-{\sf ADD}-codes, studying such codes with certain distance $d$ and codelength $n$. When $d$ is constant, we provide explicit code constructions with rates close to $1/2$. When $d$ is proportional to $n$, we provide a GV-type lower bound whose rates are efficiently computable. Upper bounds for such codes are also studied.

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Kok Hao Chen, Duc Tu Dao, Han Mao Kiah, Van Long Phuoc Pham, Eitan Yaakobi. 2024-05-11. Noise-Tolerant Codebooks for Semi-Quantitative Group Testing: Application to Spatial Genomics. https://arxiv.org/abs/2405.06870

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