Circulant weighing matrices whose order and weight are products of powers of 2 and 3

We classify all circulant weighing matrices whose order and weight are products of powers of 2 and 3. In particular, we show that proper CW(v,36)ʼs exist for all v ≡ 0 (mod 48), all of which are new.

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Main Authors: Schmidt, Bernhard, Smith, Ken W.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Subjects:
Online Access:https://hdl.handle.net/10356/99498
http://hdl.handle.net/10220/17486
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-994982020-03-07T12:34:46Z Circulant weighing matrices whose order and weight are products of powers of 2 and 3 Schmidt, Bernhard Smith, Ken W. School of Physical and Mathematical Sciences Mathematical Sciences We classify all circulant weighing matrices whose order and weight are products of powers of 2 and 3. In particular, we show that proper CW(v,36)ʼs exist for all v ≡ 0 (mod 48), all of which are new. 2013-11-08T06:30:45Z 2019-12-06T20:08:06Z 2013-11-08T06:30:45Z 2019-12-06T20:08:06Z 2012 2012 Journal Article Schmidt, B., & Smith, K. W. (2013). Circulant weighing matrices whose order and weight are products of powers of 2 and 3. Journal of Combinatorial Theory, Series A, 120(1), 275-287. 0097-3165 https://hdl.handle.net/10356/99498 http://hdl.handle.net/10220/17486 10.1016/j.jcta.2012.08.004 en Journal of combinatorial theory, series A
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Mathematical Sciences
spellingShingle Mathematical Sciences
Schmidt, Bernhard
Smith, Ken W.
Circulant weighing matrices whose order and weight are products of powers of 2 and 3
description We classify all circulant weighing matrices whose order and weight are products of powers of 2 and 3. In particular, we show that proper CW(v,36)ʼs exist for all v ≡ 0 (mod 48), all of which are new.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Schmidt, Bernhard
Smith, Ken W.
format Article
author Schmidt, Bernhard
Smith, Ken W.
author_sort Schmidt, Bernhard
title Circulant weighing matrices whose order and weight are products of powers of 2 and 3
title_short Circulant weighing matrices whose order and weight are products of powers of 2 and 3
title_full Circulant weighing matrices whose order and weight are products of powers of 2 and 3
title_fullStr Circulant weighing matrices whose order and weight are products of powers of 2 and 3
title_full_unstemmed Circulant weighing matrices whose order and weight are products of powers of 2 and 3
title_sort circulant weighing matrices whose order and weight are products of powers of 2 and 3
publishDate 2013
url https://hdl.handle.net/10356/99498
http://hdl.handle.net/10220/17486
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