Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 9 of 9 for “"Finite geometries"”.
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Finite geometries and block designs
… thesis is mainly an exposition to the ideas in finite geometry, specifically affine and projective planes as well as block designs. We conclude with a chapter on how to apply these ideas to coding theory. Some of the results we look at include both the Bruck-Ryser and Bruck-Ryser-Chowla theorems …
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Characterising and constructing codes using finite geometries
Codeertheorie en eindige meetkunde zijn nauw aan elkaar verwant. Resultaten in het ene onderzoeksveld impliceren nieuwe bevindingen in het andere, en vice versa. Bovendien kent elk domein haar eigen troeven en loont het om een bestaand probleem vanuit beide disciplines te benaderen. Dit …
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Some Aspects of the Mechanics and Mechanisms of Dynamic Brittle Fracture
… complexities of studying crack propagation in finite geometries. For example, inadequate spatial and temporal resolution is one potential limitation of high-speed photography, as used in the method of caustics, and in dynamic photoelasticity.
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A characterization of the circularity of certain balanced incomplete block designs.
… to prove theorems about other systems. Most "finite geometries" have clearly defined notions of points and lines but fail to define circles. The two notable exceptions are the circles in a finite affine plane and the circles in a Mobius plane. Using the geometry of Euclid as motivation, we …
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Studies of some classes of algebraically defined graphs
… certain contexts, point-line incidence graphs of finite geometries called generalized quadrangles have these algebraically defined graphs as induced subgraphs. At present, if its order is odd, there is only one known (family of) generalized quadrangle; it is unknown whether there are others. The …
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Bicircular Matroids with Circuits of at Most Two Sizes
… in his paper titled, Equicardinal Matroids and Finite Geometries in 1968, was the first to study matroids with all hyperplanes having the same size. Murty called such a matroid an ``Equicardinal Matroid''. Young renamed such a matroid a ``Matroid Design''. Further work on determining properties …
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Hyperovals, Laguerre planes and hemisystems - an approach via symmetry
… Erlangen program in the modern context of finite geometries -- we employ knowledge about finite classical groups to solve long-standing problems in the area. We first look at hyperovals in finite Desarguesian projective planes. In the last 25 years a number of infinite families have been …
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Some Sampling Designs and Estimation Problems
… some standard estimators in sampling from a finite population, and some design-based estimators in sampling from a continuous universe.</p> <p>In concert with the theory initiated by professor Douglas Robson (personal communication) and later presented by Cordy (1993), we consider …