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investigation of a proper pairwise balanced design on 30 points

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Date Issued:
2000
Summary:
In this paper, we assume a proper pairwise balanced design on 30 points exists. We then get some results that reveal what the largest line size may be and the maximum number of lines of this size. Using these results, we look at one of two cases. We investigate the structure of the linear spaces in this case having no lines of sizes 2, 3, 6 and 30 and rule out many possibilities in order to get a minimum number of possible solutions.
Title: An investigation of a proper pairwise balanced design on 30 points.
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Name(s): Berg, Melissa Mary-Jane.
Florida Atlantic University, Degree grantor
Mullin, Ronald C., Thesis advisor
Hoffman, Frederick, Thesis advisor
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Issuance: monographic
Date Issued: 2000
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 75 p.
Language(s): English
Summary: In this paper, we assume a proper pairwise balanced design on 30 points exists. We then get some results that reveal what the largest line size may be and the maximum number of lines of this size. Using these results, we look at one of two cases. We investigate the structure of the linear spaces in this case having no lines of sizes 2, 3, 6 and 30 and rule out many possibilities in order to get a minimum number of possible solutions.
Identifier: 9780599954243 (isbn), 12710 (digitool), FADT12710 (IID), fau:9591 (fedora)
Collection: FAU Electronic Theses and Dissertations Collection
Note(s): Charles E. Schmidt College of Science
Thesis (M.S.)--Florida Atlantic University, 2000.
Subject(s): Vector spaces
Block designs
Held by: Florida Atlantic University Libraries
Persistent Link to This Record: http://purl.flvc.org/fcla/dt/12710
Sublocation: Digital Library
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.