On a characterization of T-designs

This thesis is an exposition of Sylvia Hobart's article On a Characterization of t-designs in terms of the Inner Distribution. An inequality for o-designs is derived which holds with equality, if and only if the design is a t-design where o is less than or equal to t less than or equal to k. Th...

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主要作者: Villena, Rosemarievic G.
格式: text
語言:English
出版: Animo Repository 1995
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在線閱讀:https://animorepository.dlsu.edu.ph/etd_masteral/1689
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機構: De La Salle University
語言: English
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總結:This thesis is an exposition of Sylvia Hobart's article On a Characterization of t-designs in terms of the Inner Distribution. An inequality for o-designs is derived which holds with equality, if and only if the design is a t-design where o is less than or equal to t less than or equal to k. This inequality is then applied to the case of regular designs that is designs in which the number of blocks intersecting a given block in a given number of points is a constant. This analysis is used to characterize the Steiner system S-(4,7,23) in terms of the derived design at two points. A thorough discussion on designs as well as the details of the proofs found in Hobart's article are presented in this thesis. Examples are constructed for better understanding.