Kiss, Gergely and Somlai, Gábor (2024) Special directions on the finite affine plane. DESIGNS CODES AND CRYPTOGRAPHY, 92. pp. 2587-2597. ISSN 0925-1022
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Official URL: https://doi.org/10.1007/s10623-024-01404-y
Abstract
In this paper we study the number of special directions of sets of cardinality divisible by p on a finite plane of order p , where p is a prime. We show that there is no such a set with exactly two special directions. We characterise sets with exactly three special directions which answers a question of Ghidelli in negative. Further we introduce methods to construct sets of minimal cardinality that have exactly four special directions for small values of p .
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 29 Sep 2024 17:40 |
| Last Modified: | 29 Sep 2024 17:40 |
| URI: | https://real.mtak.hu/id/eprint/206389 |
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