investigation of a proper pairwise balanced design on 30 points

Author

• Melissa Mary-Jane Berg

Author Type

Graduate Student

Date of Award

2000

Document Type

Thesis

Publication Status

Version of Record

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

Mullin, Ronald C.

Thesis/Dissertation Co-Chair

Hoffman, Frederick

Abstract

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.

Extent

75 p.

Comments

Charles E. Schmidt College of Science|Thesis (M.S.)--Florida Atlantic University, 2000.|FAU Electronic Theses and Dissertations Collection|Charles E. Schmidt College of Science

Recommended Citation

Berg, Melissa Mary-Jane, "investigation of a proper pairwise balanced design on 30 points" (2000). Electronic Theses and Dissertations 2000 - 2009. 78.
https://digitalcommons.fau.edu/etd_general_5/78

Identifier

FADT12710

Format

pdf