A computer based classification of caps in PG(4,3)
Daniele Bartoli, Stefano Marcugini, Fernanda Pambianco
TL;DR
This paper provides a comprehensive computer-aided classification of caps in the projective space PG(4,3), utilizing exhaustive search techniques that leverage projective equivalence to ensure completeness.
Contribution
It offers the first complete classification of caps in PG(4,3) achieved through systematic computational methods.
Findings
Complete list of caps in PG(4,3) presented.
Classification method based on exhaustive computer search.
Results confirm the structure and diversity of caps in this space.
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.
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Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems · Coding theory and cryptography