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Miscellaneous classification results for 2-designs |
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| Authors: | Petteri Kaski and Patric R J sterg rd |
| Institution: | a Department of Computer Science and Engineering, Helsinki University of Technology, P.O. Box 5400, 02015 HUT, Finland b Department of Electrical and Communications Engineering, Helsinki University of Technology, P.O. Box 3000, 02015 HUT, Finland |
| Abstract: | An orderly algorithm combined with clique searching is used to show that there are—up to isomorphism, in all cases—325,062 resolvable 2-(16,4,2) designs with 339,592 resolutions, 19,072,802 2-(13,6,5) designs, and 15,111,019 2-(14,7,6) designs. Properties of the classified designs are further discussed. |
| Keywords: | Author Keywords: Balanced incomplete block design Derived design Orderly algorithm Residual design Resolvable design |
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