Pooling designs associated with unitary space and ratio efficiency comparison |
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| Authors: | Jun Guo |
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| Affiliation: | 1.Math. and Inf. College,Langfang Teachers’ College,Langfang,People’s Republic of China;2.Dept. of Applied Math.,Dalian University of Technology,Dalian,People’s Republic of China |
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| Abstract: | Let mathbbF(2n+d)q2mathbb{F}^{(2nu+delta)}_{q^{2}} be a (2ν+δ)-dimensional unitary space of mathbbFq2mathbb{F}_{q^{2}} , where δ=0 or 1. In this paper we construct a family of inclusion matrices associated with subspaces of mathbbF(2n+d)q2mathbb{F}^{(2nu+delta)}_{q^{2}} , and exhibit its disjunct property. Moreover, we compare the ratio efficiency of this construction with others, and find it smaller under some conditions. |
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