一个具有高error correction度的池化设计的构造
A construction of pooling designs with surprisingly high degree of error correction
摘要:
众所周知,许多著名的池化设计都是通过“包容矩阵”方法从数学结构构造的。在本文中,我们提出了另一种方法,并获得了一族基于有限集的具有令人惊讶的高纠错度的池化设计。在给定项目数和池数的情况下,当集合的规模足够大时,我们的设计的容错性能比Macula的设计好得多。
英文摘要:
It is well-known that many famous pooling designs are constructed from mathematical structures by the "containment matrix" method. In this paper, we propose another method and obtain a family of pooling designs with surprisingly high degree of error correction based on a finite set. Given the numbers of items and pools, the error-tolerant property of our designs is much better than that of Macula's designs when the size of the set is large enough.
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