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On maximal cliques in the graph of simplex codes

Authors :
Kwiatkowski, Mariusz
Pankov, Mark
Publication Year :
2023

Abstract

The induced subgraph of the corresponding Grassmann graph formed by simplex codes is considered. We show that this graph, as the Grassmann graph, contains two types of maximal cliques. For any two cliques of the first type there is a monomial linear automorphism transferring one of them to the other. Cliques of the second type are more complicated and can contain different numbers of elements.

Subjects

Subjects :
Mathematics - Combinatorics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2308.06109
Document Type :
Working Paper