Optimal arcs in Hjelmslev spaces of higher dimension (Q2844645)
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scientific article; zbMATH DE number 6203055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Optimal arcs in Hjelmslev spaces of higher dimension |
scientific article; zbMATH DE number 6203055 |
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29 August 2013
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Hjelmslev spaces
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chain rings
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optimal arcs
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Optimal arcs in Hjelmslev spaces of higher dimension (English)
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In this paper recursive upper bounds on the size of an arc with given parameters in projective Hjelmslev spaces \( \mathrm{PHG}(R_{R}^{t}) \) are given. The authors obtain results on arcs with multiple points in projective Hjelmslev planes. Based on the obtained results, a table of the best projective arcs is compiled in the projective Hjelmslev geometries of dimension 3 over the two chain rings with 4 elements.
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