Translation Laguerre planes of order 16 are investigated, and a related search is carried out for translation ovals in the eight translation planes of order 16 and for certain collections of such ovals called 2-pencils. Although in some of these planes there are considerably more translation hyperov
Elation Laguerre planes of order 16 are ovoidal
✍ Scribed by Günter F. Steinke
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 138 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
Abstract
We conduct a computer search for elation Laguerre planes of order 16 and show that each such plane is ovoidal. The search results also confirm the numbers of hyperovals through certain points in the dual translation planes of order 16 given in [15]. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 313–323, 2006
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