Journal Article Weighing matrices and spherical codes

Nozaki, Hiroshi  ,  Suda, Sho

42 ( 1 )  , pp.283 - 291 , 2015-08 , Springer
ISSN:0925-9899
NCID:AA10868319
Description
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 parameters (d, 2, 4, 1) and (d, d, d/2, 2d). This includes an affirmative answer to the problem of Best, Kharaghani, and Ramp.
Full-Text

https://aue.repo.nii.ac.jp/?action=repository_action_common_download&item_id=4861&item_no=1&attribute_id=15&file_no=1

Number of accesses :  

Other information