Construction of error-tolerance pooling designs in symplectic spaces |
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Authors: | Haixia Guo Jizhu Nan |
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Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, People’s Republic of China 2. College of Science, Tianjin University of Technology and Education, Tianjin, 300222, People’s Republic of China
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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. |
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