Group Testing with Error-Correction Capability for General Pandemics. Issue 30 (2022)

• Record Type: Journal Article
• Authors: Greferath, Marcus; Rößing, Cornelia
• Is Part Of: IFAC-PapersOnLine. Volume 55:Issue 30(2022)
• Page Start: 295
• Page End: 298
• Publication Date: 2022
• Subjects: Pandemics -- non-adaptive group testing -- residuation theory -- BCH-codes -- Fano plane; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2022.11.068
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: Based on a recently presented approach to non-adaptive group testing in terms of residuated pairs on Boolean lattices, we extend our investigation into group testing to the noisy case. In this context, several concepts and techniques from traditional Coding Theory over finite fields need to be adapted and refined. We will touch a variety of relevant notions and concepts and provide some first sporadic examples of error-correcting group testing schemes. The possible applications are diverse and reach from simple search of defective items in production chains to mass testing under pandemic conditions.