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https://ah.lib.nccu.edu.tw/handle/140.119/120121
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: | Jan-2008 | 上傳時間: | 25-Sep-2018 | 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 \n(M⊗J∣ ∣ ∣ A 1 ⋮A m ), \nwhere 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 |
Appears in Collections: | 期刊論文 |
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