Weighing matrices and spherical codes
Weighing matrices and spherical codes
复制标题
称重矩阵和球形代码
DOI：
10.1007/s10801-015-0581-6
复制
发表时间：
2013
影响因子：
0.8
通讯作者：
Sho Suda
中科院分区：
文献类型：
--
作者：
Hiroshi Nozaki;Sho Suda
互无偏加权矩阵（MUWM）与4角对映球码密切相关。在本文中，我们阐明了MUWM与球码之间的关系，并确定了权值为4的MUWM集合对任意阶的最大尺寸。此外，我们从球码的角度定义了互拟无偏加权矩阵（MQUWM）作为互拟无偏加权矩阵的自然推广。我们为参数和确定一组MQUWM的最大大小。这包括对Best、Kharaghani和Ramp问题的肯定回答。
Mutually unbiased weighing matrices (MUWM) are closely related to an antipodal spherical code with 4 angles. In this paper, we clarify the relation between MUWM and the spherical codes and determine the maximum size of a set of MUWM with weight 4 for any order. Moreover, we define mutually quasi-unbiased weighing matrices (MQUWM) as a natural generalization of MUWM from the viewpoint of spherical codes. We determine the maximum size of a set of MQUWM for the parametersand. This includes an affirmative answer to the problem of Best, Kharaghani, and Ramp.