{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T20:09:48Z","timestamp":1776802188585,"version":"3.51.2"},"reference-count":29,"publisher":"American Mathematical Society (AMS)","issue":"304","license":[{"start":{"date-parts":[[2017,6,29]],"date-time":"2017-06-29T00:00:00Z","timestamp":1498694400000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>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.<\/p>","DOI":"10.1090\/mcom\/3122","type":"journal-article","created":{"date-parts":[[2016,3,23]],"date-time":"2016-03-23T14:52:49Z","timestamp":1458744769000},"page":"951-984","source":"Crossref","is-referenced-by-count":2,"title":["Quasi-unbiased Hadamard matrices and weakly unbiased Hadamard matrices: A coding-theoretic approach"],"prefix":"10.1090","volume":"86","author":[{"given":"Makoto","family":"Araya","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masaaki","family":"Harada","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sho","family":"Suda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"14","published-online":{"date-parts":[[2016,6,29]]},"reference":[{"issue":"2","key":"1","doi-asserted-by":"publisher","first-page":"434","DOI":"10.1016\/j.jcta.2008.07.002","article-title":"Association schemes related to universally optimal configurations, Kerdock codes and extremal Euclidean line-sets","volume":"116","author":"Abdukhalikov, Kanat","year":"2009","journal-title":"J. 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