In this paper an inequality for the smallest positive eigenvalues of the \_C-matrix of a block design are derived. This inequality is a generalization of a result by CONSTANTINE (1982) to the caw of unequal block sizes. On the basis of the above result a certain E-optimality criterium of block desig
β¦ LIBER β¦
On the construction of E- and MV-optimal group divisible designs with unequal block sizes
β Scribed by K.Y. Lee; M. Jacroux
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 557 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0378-3758
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## Abstract Large sets of disjoint groupβdivisible designs with block size three and type 2^n^4^1^ were first studied by Schellenberg and Stinson because of their connection with perfect threshold schemes. It is known that such large sets can exist only for __n__ β‘0 (mod 3) and do exist for all odd