Rastavljivi dizajni

Marković, Ilija (2015) Rastavljivi dizajni. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

Kirkman’s schoolgirl problem motivated the writing of this graduate work. It is a famous example of a resolvable design. At the beginning we made an introduction to designs and gave some basic results that apply to designs. The incidence structure on which we define the notion of resolution is pairwise balanced design (PBD). One necessary condition for the existence of a design is Fisher’s inequality. Designs that attain the equality in Fisher’s inequality are symmetric designs. If a PBD admits a resolution, a stronger result known as Bose’s inequality holds. We are interested in designs attaining the equality in Bose’s inequality. These are affine resolvable designs. We can construct symmetric designs using affine resolvable designs. In the end we explored the connections between equidistant codes and resolvable designs.

Item Type: Thesis (Diploma thesis)
Supervisor: Krčadinac, Vedran
Date: 2015
Number of Pages: 39
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 19 Jan 2016 11:00
Last Modified: 19 Jan 2016 11:00
URI: http://digre.pmf.unizg.hr/id/eprint/4377

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