An algorithm on the construction of finite projective and affine planes through cyclic block designs

• Main Author: Jimenez, Carlito V.
• Format: text
• Language: English
• Published: Animo Repository 1995
• Subjects: Algorithms; Affine differential geometry; Block designs; Combinatorial analysis; Projective planes
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/16253
• Institution: De La Salle University

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...