About Some Large Cap Sets

A cap set in a projective or affine geometry over a finite field is a set of points no three of which are collinear.We construct complete cap sets with sizes 274432, 13991936, and 30294016 in affine geometries (, ), (, ), and (, ), respectively.

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Published
2025-09-21
DOI
https://doi.org/10.51408/csit2025_23
Primary Topic
Scheduling and Timetabling Solutions
Type
article
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article

About Some Large Cap Sets

Iskandar A. Karapetyan, Karen Karapetyan
Scheduling and Timetabling Solutions
article

About Some Large Cap Sets

Iskandar A. Karapetyan, Karen Karapetyan
article en

Abstract

A cap set in a projective or affine geometry over a finite field is a set of points no three of which are collinear.We construct complete cap sets with sizes 274432, 13991936, and 30294016 in affine geometries (, ), (, ), and (, ), respectively.

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About Some Large Cap Sets — Iskandar A. Karapetyan, Karen Karapetyan · (2025) | TGRS Research Map | TGRS