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題名 On Marrero`s $J_m$-Hadamard matrices
作者 Shih, Yaio-Zhern
陳永秋
Tan, Eng-Tjioe
貢獻者 應數系
日期 2008-01
上傳時間 25-九月-2018 16:20:50 (UTC+8)
摘要 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
關聯 Taiwanese Journal of Mathematics, Volume 12, Number 2, 301-314
AMS MathSciNet:MR2402116
資料類型 article
dc.contributor 應數系
dc.creator (作者) Shih, Yaio-Zhern
dc.creator (作者) 陳永秋
dc.creator (作者) Tan, Eng-Tjioe
dc.date (日期) 2008-01
dc.date.accessioned 25-九月-2018 16:20:50 (UTC+8)-
dc.date.available 25-九月-2018 16:20:50 (UTC+8)-
dc.date.issued (上傳時間) 25-九月-2018 16:20:50 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/120121-
dc.description.abstract (摘要) 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
en_US
dc.format.extent 185120 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Taiwanese Journal of Mathematics, Volume 12, Number 2, 301-314
dc.relation (關聯) AMS MathSciNet:MR2402116
dc.title (題名) On Marrero`s $J_m$-Hadamard matrices
dc.type (資料類型) article