Complete Caps in Affine Geometry AG(n, 3)

IF 0.7 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

PATTERN RECOGNITION AND IMAGE ANALYSIS Pub Date : 2024-04-10 DOI:10.1134/s1054661824010097

Iskandar Karapetyan, Karen Karapetyan

引用次数: 0

Abstract

A cap in a projective or affine geometry over a finite field is a set of points no three of which are collinear. We give several new constructions for complete caps in affine geometry \(AG\left( {n,3} \right)\) over the field \({{F}_{3}} = \left\{ {0,1,2} \right\}\) implying some well-known results.

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仿射几何 AG(n, 3) 中的完整盖帽

摘要在有限域上的射影几何或仿射几何中的盖是一组没有三个点是共线的点。我们给出了仿射几何 \(AG\left( {n,3} \right)\)中关于域 \({{F}_{3}} = \left\{{0,1,2} \right}/)的完全盖的几个新构造，其中隐含了一些众所周知的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

PATTERN RECOGNITION AND IMAGE ANALYSIS Computer Science-Computer Graphics and Computer-Aided Design

CiteScore

1.80

自引率

20.00%

发文量

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