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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/120121

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Title:	On Marrero`s $J_m$-Hadamard matrices
Authors:	Shih, Yaio-Zhern 陳永秋 Tan, Eng-Tjioe
Contributors:	應數系
Date:	2008-01
Issue Date:	2018-09-25 16:20:50 (UTC+8)
Abstract:	Following O. Marrero`s idea [Exposition. Math. 17 (1999), no. 3, 283–287; MR1706192], the authors define a J m -Hadamard matrix to be one of the form (M⊗J∣ ∣ ∣ A 1 ⋮A m ), where M is a Hadamard matrix of order m , J is the t×1 matrix of all ones, and each A i is a t×(mt−m) matrix in which each entry is either 1 or −1 . The authors construct a number of additional J m -Hadamard matrices by permuting and negating the A i `s. They then extend a result of R. Craigen [Ars Combin. 33 (1992), 57–64; MR1174830] to J m -Hadamard matrices. Finally, they introduce the J m -class CJ m of Hadamard matrices and prove that CJ 8 ⊂CJ 4 ⊂CJ
Relation:	Taiwanese Journal of Mathematics, Volume 12, Number 2, 301-314 AMS MathSciNet:MR2402116
Data Type:	article
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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