Sane, Sharad S. (1985) On extendable planes of order ten Journal of Combinatorial Theory - Series A, 38 (1). pp. 91-93. ISSN 0097-3165
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Official URL: http://www.sciencedirect.com/science/article/pii/0...
Related URL: http://dx.doi.org/10.1016/0097-3165(85)90027-5
Abstract
It is well known that the only way of extending a projective plane of order n (conceivable orders are 2, 4 and 10) is adjoining a set of hyperovals to the given projective plane. A converse is proved in this note. It is shown as a corollary that the existence of an extendable plane of order 10 is equivalent to the existence of a quasi-symmetric 2-(111, 12, 10)-design.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 68017 |
| Deposited On: | 02 Nov 2011 03:09 |
| Last Modified: | 02 Nov 2011 03:09 |
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