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...
محفوظ في:
المؤلف الرئيسي: | |
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التنسيق: | text |
اللغة: | English |
منشور في: |
Animo Repository
1995
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الموضوعات: | |
الوصول للمادة أونلاين: | https://animorepository.dlsu.edu.ph/etd_masteral/1689 |
الوسوم: |
إضافة وسم
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المؤسسة: | De La Salle University |
اللغة: | English |
الملخص: | 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. |
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