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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1995
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oai:animorepository.dlsu.edu.ph:etd_bachelors-167662021-11-13T03:54:02Z An algorithm on the construction of finite projective and affine planes through cyclic block designs Jimenez, Carlito V. 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. 1995-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/16253 Bachelor's Theses English Animo Repository Algorithms Affine differential geometry Block designs Combinatorial analysis Projective planes |
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De La Salle University |
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De La Salle University Library |
| continent |
Asia |
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Philippines Philippines |
| content_provider |
De La Salle University Library |
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DLSU Institutional Repository |
| language |
English |
| topic |
Algorithms Affine differential geometry Block designs Combinatorial analysis Projective planes |
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Algorithms Affine differential geometry Block designs Combinatorial analysis Projective planes Jimenez, Carlito V. An algorithm on the construction of finite projective and affine planes through cyclic block designs |
| description |
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. |
| format |
text |
| author |
Jimenez, Carlito V. |
| author_facet |
Jimenez, Carlito V. |
| author_sort |
Jimenez, Carlito V. |
| title |
An algorithm on the construction of finite projective and affine planes through cyclic block designs |
| title_short |
An algorithm on the construction of finite projective and affine planes through cyclic block designs |
| title_full |
An algorithm on the construction of finite projective and affine planes through cyclic block designs |
| title_fullStr |
An algorithm on the construction of finite projective and affine planes through cyclic block designs |
| title_full_unstemmed |
An algorithm on the construction of finite projective and affine planes through cyclic block designs |
| title_sort |
algorithm on the construction of finite projective and affine planes through cyclic block designs |
| publisher |
Animo Repository |
| publishDate |
1995 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/16253 |
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1772834981654036480 |