A computer based classification of caps in PG(4,3)
Combinatorics
2012-03-06 v1
Abstract
In this paper we present the complete classification of caps in PG(4,3). These results have been obtained using a computer based exhaustive search that exploits projective equivalence.
Cite
@article{arxiv.1203.0986,
title = {A computer based classification of caps in PG(4,3)},
author = {Daniele Bartoli and Stefano Marcugini and Fernanda Pambianco},
journal= {arXiv preprint arXiv:1203.0986},
year = {2012}
}
Comments
9 pages
Related papers
View all related →
Combinatorics · Mathematics
A computer based classification of caps in PG(4,2)
Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco
2012-03-06
Combinatorics · Mathematics
A computer based classification of caps in PG(5,2)
Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco
2012-03-06
Combinatorics · Mathematics
The 95256-cap in PG(12; 4) is complete
D. Bartoli, S. Marcugini, A. Milani, F. Pambianco
2015-09-24
Combinatorics · Mathematics
New inductive constructions of complete caps in $PG(N,q)$, $q$ even
Alexander A. Davydov, Massimo Giulietti, Stefano Marcugini, Fernanda Pambianco
2009-01-06
Combinatorics · Mathematics
Tables, bounds and graphics of the smallest known sizes of complete caps in the spaces $\mathrm{PG}(3,q)$ and $\mathrm{PG}(4,q)$
Daniele Bartoli, Alexander A. Davydov, Alexey A. Kreshchuk, Stefano Marcugini +1
2016-11-01
Combinatorics · Mathematics
Partitions of AG(4,3) into Maximal Caps
Michael Follett, Kyle Kalail, Elizabeth McMahon, Catherine Pelland +1
2018-08-28
Computer Vision and Pattern Recognition · Computer Science
CapsNet comparative performance evaluation for image classification
Rinat Mukhometzianov, Juan Carrillo
2018-05-30
Combinatorics · Mathematics
How Many Cards Should You Lay Out in Quad-128: A Classification of Caps in AG(7,2)
Karianne Calta, Timothy E. Goldberg, Lauren L. Rose
2025-01-22
Combinatorics · Mathematics
A probabilistic construction of small complete caps in projective spaces
Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco
2014-06-20
Combinatorics · Mathematics
New Method for Constructing Complete Cap Sets
Iskandar Karapetyana, Karen Karapetyana
2026-01-26
Computer Vision and Pattern Recognition · Computer Science
HP-Capsule: Unsupervised Face Part Discovery by Hierarchical Parsing Capsule Network
Chang Yu, Xiangyu Zhu, Xiaomei Zhang, Zidu Wang +2
2022-03-22
Combinatorics · Mathematics
Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture
Alexander A. Davydov, Giorgio Faina, Stefano Marcugini, Fernanda Pambianco
2017-06-08
Computer Vision and Pattern Recognition · Computer Science
PIG-Net: Inception based Deep Learning Architecture for 3D Point Cloud Segmentation
Sindhu Hegde, Shankar Gangisetty
2021-01-29
Differential Geometry · Mathematics
Classifications of cusps appearing on plane curves
Yoshiki Matsushita
2024-02-20
Computer Vision and Pattern Recognition · Computer Science
3DCapsule: Extending the Capsule Architecture to Classify 3D Point Clouds
Ali Cheraghian, Lars Petersson
2018-11-07
Combinatorics · Mathematics
Small complete caps in ${\rm PG}(4n + 1, q)$
Antonio Cossidente, Bence Csajbók, Giuseppe Marino, Francesco Pavese
2021-06-01
Combinatorics · Mathematics
Demicaps in AG(4,3) and Their Relation to Maximal Cap Partitions
Jordan Awan, Clare Frechette, Yumi Li, Elizabeth McMahon
2021-06-29
Computer Vision and Pattern Recognition · Computer Science
iCaps: An Interpretable Classifier via Disentangled Capsule Networks
Dahuin Jung, Jonghyun Lee, Jihun Yi, Sungroh Yoon
2020-08-21
Computer Vision and Pattern Recognition · Computer Science
TraceCaps: A Capsule-based Neural Network for Semantic Segmentation
Tao Sun, Zhewei Wang, C. D. Smith, Jundong Liu
2020-07-17
Combinatorics · Mathematics
Hyperfocused arcs in PG(2,32)
Giorgio Faina, Cristiano Parrettini, Fabio Pasticci
2011-02-22
Logic · Mathematics
Categoricity Properties for Computable Algebraic Fields
Denis Hirschfeldt, Ken Kramer, Russell Miller, Alexandra Shlapentokh
2018-02-12
Computer Vision and Pattern Recognition · Computer Science
Point Cloud Completion Guided by Prior Knowledge via Causal Inference
Songxue Gao, Chuanqi Jiao, Ruidong Chen, Weijie Wang +1
2023-12-19
Combinatorics · Mathematics
On near-MDS codes and caps
Michela Ceria, Antonio Cossidente, Giuseppe Marino, Francesco Pavese
2021-06-08
Geometric Topology · Mathematics
A Classification of subgroups of SL(4,R) Isomorphic to R^3 and Generalized Cusps in Projective 3 Manifolds
Arielle Leitner
2016-04-05
Logic · Mathematics
Computable categoricity relative to a c.e. degree
Java Darleen Villano
2025-05-08