Construction of error-tolerance pooling designs in symplectic spaces

Authors:
Haixia Guo;Jizhu Nan
Affiliations:
Department of Applied Mathematics, Dalian University of Technology, Dalian, People's Republic of China 116024 and College of Science, Tianjin University of Technology and Education, Tianjin, Peopl ...;Department of Applied Mathematics, Dalian University of Technology, Dalian, People's Republic of China 116024
Venue:
Journal of Global Optimization
Year:
2014

Citing 6
Cited 0

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Abstract

The paper provides the construction of error-correcting pooling designs with the incidence matrix of two types of subspaces of symplectic spaces over finite fields. As a generalization of Guo et al.'s matrix, we use the general subspaces of type $$(m,s)$$ to substitute special subspaces of type $$(2s,s)$$. If $$\nu $$ is big enough, we can get the higher degree of error-tolerant property.