Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: A coding-theoretic approach
HTML articles powered by AMS MathViewer

by Makoto Araya, Masaaki Harada and Sho Suda PDF
Math. Comp. 86 (2017), 951-984 Request permission


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 quasi-unbiased 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.
Similar Articles
Additional Information
  • Makoto Araya
  • Affiliation: Department of Computer Science, Shizuoka University, Hamamatsu 432–8011, Japan
  • MR Author ID: 609178
  • Email:
  • Masaaki Harada
  • Affiliation: Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai 980–8579, Japan
  • Email:
  • Sho Suda
  • Affiliation: Department of Mathematics Education, Aichi University of Education, Kariya 448-8542, Japan
  • Email:
  • Received by editor(s): April 6, 2015
  • Received by editor(s) in revised form: September 16, 2015, and September 30, 2015
  • Published electronically: June 29, 2016

  • Dedicated: Dedicated to Professor Satoshi Yoshiara on his 60th birthday
  • © Copyright 2016 American Mathematical Society
  • Journal: Math. Comp. 86 (2017), 951-984
  • MSC (2010): Primary 05B20, 94B25, 94B65; Secondary 05E30
  • DOI:
  • MathSciNet review: 3584556