Note on the tight relative 2-designs on H(n, 2)
Note on the tight relative 2-designs on H(n, 2)
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关于 H(n, 2) 的紧相关 2 设计的注意事项
DOI：
10.1016/j.disc.2014.09.002
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发表时间：
2015-02
影响因子：
0.8
通讯作者：
Suogang Gao
中科院分区：
文献类型：
--
作者：
Hong Yue;Bo Hou;Suogang Gao
Abstract Bannai–Bannai–Bannai studied intensively the tight relative 2-designs on two shells in H (n, 2) and gained many important results. Their results indicate the relationship among relative t-designs in binary Hamming association schemes, combinatorial t-designs and Hadamard matrices. In this note we study the further relationship between tight relative 2-designs on two shells in H (n, 2) and them. We first prove that the existence of a special tight relative 2-design of H (n, 2) on two shells is equivalent to that of a Hadamard matrix of size m+ 1, where m≡− 1 (mod 4) and n= 2 m; we also show how tight relative 2-designs of H (n, 2) on two shells and BIBD or λ-linked designs are related. Next, for each integer n, where 30< n≤ 50, we determine whether there exists such a tight relative 2-design or not using the above results. Finally, we give a possible list of parameters for the existence of tight relative 2-designs on two shells in H (n, 2) with non-constant weight.
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影响因子：
0.8
作者：
P. Dukes;Jesse Short-Gershman
通讯作者：
P. Dukes;Jesse Short-Gershman
DOI：
10.1016/j.ejc.2008.11.007
发表时间：
2009-08
期刊：
Eur. J. Comb.
影响因子：
--
作者：
E. Bannai;E. Bannai
通讯作者：
E. Bannai;E. Bannai
影响因子：
0.7
作者：
E. Bannai
通讯作者：
E. Bannai
DOI：
10.1112/jlms/s2-21.1.13
发表时间：
1980-02
影响因子：
1.2
作者：
E. Bannai;R. M. Damerell
通讯作者：
E. Bannai;R. M. Damerell
DOI：
10.1016/j.jcta.2012.04.008
发表时间：
2012-10
期刊：
J. Comb. Theory A
影响因子：
--
作者：
Ziqing Xiang
通讯作者：
Ziqing Xiang