On unit weighing matrices with small weight
On unit weighing matrices with small weight
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关于小重量单位称重矩阵
DOI：
10.1016/j.disc.2012.12.022
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
H. Ramp
中科院分区：
文献类型：
--
作者：
Darcy Best;H. Kharaghani;H. Ramp
研究了权为2、3、4的n阶单位加权矩阵的结构。我们证明了不等价单位加权矩阵UW(n，4)的个数取决于n分解为某些特定正整数的非负数倍和的个数。为了说明权重大于4的分类所涉及的复杂性，本文提出了两个有趣的零星案例。
The structure of unit weighing matrices of order n and weights 2, 3 and 4 is studied. We show that the number of inequivalent unit weighing matrices UW(n,4) depends on the number of decomposition of n into sums of non-negative multiples of some specific positive integers. Two interesting sporadic cases are presented in order to demonstrate the complexities involved in the classification of weights larger than 4.