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Special directions on the finite affine plane

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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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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