Jungnickel and Tonchev conjectured in [4] that if a quasi-symmetric design D is an s-fold quasi-multiple of a symmetric (v,k, A) design with (k, (sl)A) = 1, then D is a multiple. We prove this conjecture under any one of the conditions: s 5 7, k -1 is prime, or the design D is a 3-design. It is show
On GMW Designs and a Conjecture of Assmus and Key
✍ Scribed by Thomas E. Norwood; Qing Xiang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 274 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
We show that a family of cyclic Hadamard designs defined from regular ovals is a sub-family of a class of difference set designs due to B.
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