Binary codes of some strongly regular subgraphs of the McLaughlin graph

DOI10.1007/s10623-011-9589-7zbMath1258.05130OpenAlexW2070678610MaRDI QIDQ1936495

Dimitri Leemans, Bernardo Gabriel Rodrigues

Publication date: 5 February 2013

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9589-7

zbMATH Keywords

strongly regular graphsbinary codesautomorphism groupssymmetric designsMcLaughlin graph

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45)

Related Items (2)

Ball packings with high chromatic numbers from strongly regular graphs ⋮ On primitive geometries of rank two

Uses Software

• Magma
• Code Tables

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(p\)-rank of the adjacency matrices of strongly regular graphs
• Permutation decoding for binary codes from lattice graphs
• A global code invariant under the Higman-Sims group
• The regular two-graph on 276 vertices
• The Gewirtz graph: An exercise in the theory of graph spectra
• Three new distance-regular graphs
• The Magma algebra system. I: The user language
• Permutation decoding for the binary codes from triangular graphs.
• Uniqueness of strongly regular graphs having minimal \(p\)-rank
• Codes from incidence matrices of graphs
• Binary codes of strongly regular graphs
• Some optimal codes related to graphs invariant under the alternating group \(A_8\)
• A rank six geometry related to the McLaughlin sporadic simple group
• Some designs and codes invariant under the simple group Co\(_{2}\)
• Classification of some strongly regular subgraphs of the McLaughlin graph
• The uniqueness of the strongly regular graph \(\mathrm{srg}(105,32,4,12)\)
• Some strongly regular graphs and self-orthogonal codes from the unitary group U4(3)
• Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs

This page was built for publication: Binary codes of some strongly regular subgraphs of the McLaughlin graph