| 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-Sep-2018 16:20:50 (UTC+8) | - |
| dc.date.available | 25-Sep-2018 16:20:50 (UTC+8) | - |
| dc.date.issued (上傳時間) | 25-Sep-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 | |
