An algorithm on the construction of finite projective and affine planes through cyclic block designs
This paper formalizes the method of generating projective planes using difference sets. It establishes a proof on a necessary and sufficient condition for a projective plane to exist through difference sets using Hall's theorem on cyclic block designs. This condition is then used to formulate...
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| Main Author: | |
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| Format: | text |
| Language: | English |
| Published: |
Animo Repository
1995
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| Subjects: | |
| Online Access: | https://animorepository.dlsu.edu.ph/etd_bachelors/16253 |
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| Institution: | De La Salle University |
| Language: | English |
| Summary: | This paper formalizes the method of generating projective planes using difference sets. It establishes a proof on a necessary and sufficient condition for a projective plane to exist through difference sets using Hall's theorem on cyclic block designs. This condition is then used to formulate an algorithm on the construction of finite projective planes. Furthermore, affine planes are also generated from projective planes of the same order using the algorithm and the embedding theorem. |
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