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Some families of group divisible designs |
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| Authors: | Sanpei Kageyama Tatsuzo Tanaka |
| Affiliation: | Department of Mathematics, Faculty of School Education, Hiroshima University, Shinonome, Hiroshima 734, Japan |
| Abstract: | Generalizing methods of constructions of Hadamard group divisible designs due to Bush (1979), some new families of semi-regular or regular group divisible designs are produced. Furthermore, new nonisomorphic solutions for some known group divisible designs are given, together with useful group divisible designs not listed in Clatworthy (1973). |
| Keywords: | 62K10 Secondary 05B05, 62K99 Group Divisible Design PBIB Design BIB Design Hadamard Matrix Nonisomorphic Solution Rectangular Association Scheme Semi-regular Regular Symmetric Skew |
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