Paper Info
Title
QUASI-UNBIASED HADAMARD MATRICES AND WEAKLY UNBIASED HADAMARD MATRICES: A CODING-THEORETIC APPROACH
Abstract
This paper is concerned with quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices, which are generalizations of unbiased Hadamard matrices, equivalently unbiased bases. These matrices are studied from the viewpoint of coding theory. As a consequence of a coding-theoretic approach, we provide upper bounds on the number of mutually quasiunbiased Hadamard matrices. We give classifications of a certain class of self-complementary codes for modest lengths. These codes give quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices. Some modification of the notion of weakly unbiased Hadamard matrices is also provided.
Year
DOI
Venue
2017
10.1090/mcom/3122
MATHEMATICS OF COMPUTATION
Keywords
DocType
Volume
Unbiased Hadamard matrix,unbiased weighing matrix,self-complementary code
Journal
86
Issue
ISSN
Citations 
304
0025-5718
0
PageRank 
References 
Authors
0.34
6
3
Name
Order
Citations
PageRank
Makoto Araya1268.52
Masaaki Harada236769.47
Sho Suda3299.82