Combinatorial coverings from geometries over principal ideal rings
A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) cover...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
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2013
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| Online Access: | https://hdl.handle.net/10356/95780 http://hdl.handle.net/10220/9830 |
| _version_ | 1811691777491468288 |
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| author | Chee, Yeow Meng Ling, San |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Chee, Yeow Meng Ling, San |
| author_sort | Chee, Yeow Meng |
| collection | NTU |
| description | A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) coverings having many interesting combinatorial properties. |
| first_indexed | 2024-10-01T06:25:17Z |
| format | Journal Article |
| id | ntu-10356/95780 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:25:17Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/957802023-02-28T19:24:40Z Combinatorial coverings from geometries over principal ideal rings Chee, Yeow Meng Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Geometry A t-(v, k, λ) covering is an incidence structure with v points, each block incident on exactly k points, such that every set of t distinct points is incident on at least λ blocks. By considering certain geometries over finite principal ideal rings, we construct infinite families of t-(v, k, λ) coverings having many interesting combinatorial properties. Accepted version 2013-04-18T06:19:49Z 2019-12-06T19:21:24Z 2013-04-18T06:19:49Z 2019-12-06T19:21:24Z 1999 1999 Journal Article Chee, Y. M., & Ling, S. (1999). Combinatorial coverings from geometries over principal ideal rings. Journal of Combinatorial Designs, 7(4), 247-268. 1520-6610 https://hdl.handle.net/10356/95780 http://hdl.handle.net/10220/9830 10.1002/(SICI)1520-6610(1999)7:4<247 en Journal of combinatorial designs © 1999 John Wiley & Sons, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Combinatorial Designs, John Wiley & Sons, Inc. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1002/(SICI)1520-6610(1999)7:4<247::AID-JCD3>3.0.CO;2-W]. application/pdf |
| spellingShingle | DRNTU::Science::Mathematics::Geometry Chee, Yeow Meng Ling, San Combinatorial coverings from geometries over principal ideal rings |
| title | Combinatorial coverings from geometries over principal ideal rings |
| title_full | Combinatorial coverings from geometries over principal ideal rings |
| title_fullStr | Combinatorial coverings from geometries over principal ideal rings |
| title_full_unstemmed | Combinatorial coverings from geometries over principal ideal rings |
| title_short | Combinatorial coverings from geometries over principal ideal rings |
| title_sort | combinatorial coverings from geometries over principal ideal rings |
| topic | DRNTU::Science::Mathematics::Geometry |
| url | https://hdl.handle.net/10356/95780 http://hdl.handle.net/10220/9830 |
| work_keys_str_mv | AT cheeyeowmeng combinatorialcoveringsfromgeometriesoverprincipalidealrings AT lingsan combinatorialcoveringsfromgeometriesoverprincipalidealrings |