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A study of BIB designs through support matrices |
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| Authors: | A Hedayat H Pesotan |
| Institution: | University of Illinois at Chicago, Chicago, IL 60680, USA;University of Guelph, Guelph, Ontario, Canada N1G 2W1 |
| Abstract: | This paper deals with the existence and nonexistence of BIB designs with repeated blocks. The approach is an algebraic one. The concept of a support matrix is introduced and some of its basic properties are noted. Some basic examples of support matrices are given when the block size is 3. The connection between full column rank proper support matrices and irreducible designs is explored and some examples of such matrices are given. |
| Keywords: | Primary 05B05 Secondary 62K10 Incomplete block designs BIB designs with repeated blocks Irreducible BIB designs Core matrix Support size |
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